prime factorizations of important sequences: see factorizations of important sequences
prime factors, sequences related to (start):
prime factors: at least (1) 1: A000027 2: A002808 3: A033942 4: A033987 5: A046304
prime factors: at least (2) 6: A046305 7: A046307 8: A046309 9: A046311 10: A046313
prime factors: at most 1: A000040 2: A037143 3: A037144 4: A166718 5: A166719
prime factors: exactly (1) 1: A000040 2: A001358 3: A014612 4: A014613 5: A014614
prime factors: exactly (2) 6: A046306 7: A046308 8: A046310 9: A046312 10: A046314
prime factors: exactly (3) 11: A069272 12: A069273 13: A069274 14: A069275 15: A069276
prime factors: exactly (4) 16: A069277 17: A069278 18: A069279 19: A069280 20: A069281
prime factors: number of A001222
prime factors: see also distinct prime factors
prime factors: table of: A078840
prime numbers of measurement: A002048 *, A002049 *
prime numbers: A000040 *, A008578
prime plus twice a square: A046903
prime powers, sequences related to (start):
prime powers: base: A025473 , exponent: A025474
prime powers: complement of: A024619
prime powers: excluding primes: base: A025476 , exponent: A025477
prime powers: excluding primes: complement of: A085971
prime powers: excluding primes: gaps: A053707
prime powers: excluding primes: gaps: record: A167186 , start: A167188 , end: A167189
prime powers: excluding primes: list of: A025475 , previous: A167185 , next: A167184
prime powers: excluding primes: number of: A085501
prime powers: gaps: A057820
prime powers: gaps: record: A167235 , start: A002540 , end: A167236
prime powers: list of: A000961 , previous: A031218 , next: A000015
prime powers: number of: A065515
prime pyramid: A051237 *, A036440
Prime quadruplets:: A007530
prime races, sequences related to (start):
prime races: A007350 , A007351 , A007352 , A007353 , A007354 , A007355 , A096447 , A096448 , A096449 , A096450 , A096451 , A096452 , A096453 , A096454 , A096455 , A098044
prime signature, sequences related to (start):
prime signature: A025487 *
prime signature: see also (1) A000688 A005361 A008480 A008683 A008966 A025488 A035206 A035341 A036035 A036041 A038538 A046660
prime signature: see also (2) A046951 A050320 A050322 A050323 A050324 A050325 A050326 A050327 A050328 A050329 A050330 A050331
prime signature: see also (3) A050332 A050333 A050334 A050335 A050336 A050337 A050338 A050339 A050340 A050341 A050345 A050346
prime signature: see also (4) A050347 A050348 A050349 A050350 A050354 A050355 A050356 A050357 A050358 A050359 A050360 A050361
prime signature: see also (5) A050362 A050363 A050364 A050370 A050371 A050372 A050373 A050374 A050375 A050377 A050378 A050379
prime signature: see also (6) A050380 A050382 A051282 A051466 A051707 A052213 A052214 A052304 A052305 A052306 A056099 A056153
prime signature: see also (7) A056808 A056823 A057335
prime signature: see also (8) primes, in arithmetic progressions
prime triplets: A007529
prime(2^n): A033844 *, A018249 , A051438 , A051440 , A051439
prime(n) == +/-k (mod n): (1) A023143 , A023144 , A023145 , A023146 , A023147 , A023148 , A023149 , A023150 , A023151 , A023152 , A049204 , A092044
prime(n) == +/-k (mod n): (2) A092045 , A092046 , A092047 , A092048 , A092049 , A092050 , A092051 , A092052 .
prime, largest <=n: A007917
prime, largest dividing n: A006530
prime, smallest whose product of digits is (something): A088653 A088654 A089298 A089364 A089365 A089386 A089912
prime, weakly: A050249
PRIMEGAME: A007542 , A007546 , A007547
PrimePi(x), number of primes <= x: A000720 *
primes , sequences related to (start):
primes : A000040 *
primes gaps, see primes, gaps between
primes in arithmetic progressions, see primes, in arithmetic progressions
primes involving quasi-repdigits D(R)nE: (01) A049054 ,A088274 ,A088275 ,A102929 ,A102930 ,A102931 ,A102932 ,A102933 ,A102934 ,A102935 ,
primes involving quasi-repdigits D(R)nE: (02) A102936 ,A102937 ,A102938 ,A102939 ,A102940 ,A102941 ,A102942 ,A102943 ,A102944 ,A102945 ,
primes involving quasi-repdigits D(R)nE: (03) A102946 ,A102947 ,A081677 ,A101392 ,A102948 ,A102949 ,A102950 ,A102951 ,A102952 ,A102953 ,
primes involving quasi-repdigits D(R)nE: (04) A102954 ,A102955 ,A098930 ,A099006 ,A102956 ,A098959 ,A102957 ,A098960 ,A102958 ,A102959 ,
primes involving quasi-repdigits D(R)nE: (05) A102959 ,A102960 ,A102961 ,A102962 ,A102963 ,A102964 ,A056807 ,A100501 ,A101393 ,A102965 ,
primes involving quasi-repdigits D(R)nE: (06) A102966 ,A102967 ,A102968 ,A102969 ,A102970 ,A102971 ,A102972 ,A102973 ,A102974 ,A102975 ,
primes involving quasi-repdigits D(R)nE: (07) A102976 ,A102977 ,A102978 ,A102979 ,A102980 ,A101396 ,A101398 ,A056806 ,A101397 ,A101395 ,
primes involving quasi-repdigits D(R)nE: (08) A101394 ,A102981 ,A102982 ,A102983 ,A102984 ,A102985 ,A102986 ,A102987 ,A102988 ,A102989 ,
primes involving quasi-repdigits D(R)nE: (09) A102990 ,A102991 ,A102992 ,A102993 ,A102994 ,A099005 ,A099017 ,A102995 ,A102996 ,A102997 ,
primes involving quasi-repdigits D(R)nE: (10) A102998 ,A102999 ,A103000 ,A103001 ,A103002 ,A103003 ,A096254 ,A103004 ,A103005 ,A103006 ,
primes involving quasi-repdigits D(R)nE: (11) A103007 ,A103008 ,A103009 ,A103010 ,A103011 ,A103012 ,A103013 ,A103014 ,A103015 ,A103016 ,
primes involving quasi-repdigits D(R)nE: (12) A103017 ,A103018 ,A103019 ,A103020 ,A103021 ,A103022 ,A103023 ,A103024 ,A103025 ,A056805 ,
primes involving quasi-repdigits D(R)nE: (13) A103027 ,A103027 ,A103028 ,A103029 ,A103030 ,A097402 ,A103031 ,A103032 ,A103033 ,A103034 ,
primes involving quasi-repdigits D(R)nE: (14) A103035 ,A103036 ,A103037 ,A103038 ,A103039 ,A103040 ,A103041 ,A103042 ,A103043 ,A103044 ,
primes involving quasi-repdigits D(R)nE: (15) A103045 ,A103046 ,A103047 ,A103048 ,A103049 ,A056804 ,A097970 ,A097954 ,A103050 ,A103051 ,
primes involving quasi-repdigits D(R)nE: (16) A103052 ,A103053 ,A103054 ,A103055 ,A103056 ,A103057 ,A103058 ,A103059 ,A103060 ,A103061 ,
primes involving quasi-repdigits D(R)nE: (17) A103062 ,A103063 ,A103064 ,A103065 ,A103066 ,A103067 ,A103068 ,A099190 ,A103069 ,A103070 ,
primes involving quasi-repdigits D(R)nE: (18) A103071 ,A103072 ,A103073 ,A103074 ,A103075 ,A103076 ,A103077 ,A103078 ,A103079 ,A103080 ,
primes involving quasi-repdigits D(R)nE: (19) A103081 ,A103082 ,A103083 ,A103084 ,A103085 ,A103086 ,A103087 ,A103088 ,A103089 ,A103090 ,
primes involving quasi-repdigits D(R)nE: (20) A103091 ,A103092 ,A056797 ,A096774 ,A100473 ,A103093 ,A103094 ,A103095 ,A103096 ,A103097 ,
primes involving quasi-repdigits D(R)nE: (21) A103098 ,A103099 ,A103100 ,A103101 ,A103102 ,A103103 ,A103104 ,A103105 ,A103106 ,A103107 ,
primes involving quasi-repdigits D(R)nE: (22) A103108 ,A103109
primes involving repunits , sequences related to (start):
primes involving repunits, X*10*repunits+Y: (1): A004023 , A056654 , A056655 , A056659 , A056660 , A056656 , A056677 , A056678 , A055520 , A056680 ,
primes involving repunits, X*10*repunits+Y: (2): A056681 , A056661 , A056682 , A056683 , A056684 , A056685 , A056686 , A056687 , A056658 , A056657 ,
primes involving repunits, X*10*repunits+Y: (3): A056688 , A056689 , A056693 , A056664 , A056694 , A056695 , A056663 , A056696 , A056662 .
primes involving repunits, X*10^n+Y*repunits: (1): A004023 , A056698 , A089147 , A002957 , A056700 , A056701 , A056702 , A056703 , A056704 ,
primes involving repunits, X*10^n+Y*repunits: (2): A056705 , A056706 , A056707 , A056708 , A056712 , A056713 , A056714 , A056715 , A056716 ,
primes involving repunits, X*10^n+Y*repunits: (3): A056717 , A056718 , A056719 , A056720 , A056721 , A056722 , A056723 , A056724 , A056725 ,
primes involving repunits, X*10^n+Y*repunits: (4): A056726 , A056727 .
primes involving repunits, X*repunits+-Y: (1): A004023 , A097683 , A097684 , A097685 , A084832 , A096506 , A099409 , A099410 , A055557 , A099411 ,
primes involving repunits, X*repunits+-Y: (2): A099412 , A096845 , A099413 , A099414 , A099415 , A099416 , A099417 , A099418 , A098088 , A096507 ,
primes involving repunits, X*repunits+-Y: (3): A099419 , A099420 , A098089 , A099421 , A099422 , A096846 , A096508 , A095714 , A089675
primes of the form binomial(k*n, n) +- 1, k=2..6: A066699 , A066726 , A125221 , A125220 , A125241 , A125240 , A125243 , A125242 , A125245 , A125244 .
primes p such that x^k = 2 has a solution mod p, sequences related to (start): (**) means the divergence occurs beyond the last entry shown in the OEIS. [Indexed by Patrick De Geest (pdg(AT)worldofnumbers.com)]
primes p such that x^k = 2 has a solution mod p, k=02 to 09: A038873 (or A001132 ), A040028 , A040098 , A040159 , A040992 , A042966 , A045315 (**), A049596 ,
primes p such that x^k = 2 has a solution mod p, k=10 to 19: A049542 , A049543 , A049544 , A049545 , A049546 , A049547 , A045315 , A049549 , A049550 , A049551
primes p such that x^k = 2 has a solution mod p, k=20 to 29: A049552 , A049553 , A049554 , A049555 , A049556 , A049557 , A049558 , A049596 (**), A049560 , A049561
primes p such that x^k = 2 has a solution mod p, k=30 to 39: A049562 , A000040 (**), A049564 , A049565 , A049566 , A049567 , A049568 , A049569 , A049570 , A049571
primes p such that x^k = 2 has a solution mod p, k=40 to 49: A049572 , A049573 , A049574 , A058853 , A049576 , A049577 , A049578 , A000040 (**), A049580 , A042966 (**)
primes p such that x^k = 2 has a solution mod p, k=50 to 59: A049582 , A049583 , A049584 , A049585 , A049550 (**), A049587 , A049588 , A049589 , A049590 , A000040 (**)
primes p such that x^k = 2 has a solution mod p, k=60 to 63: A049592 , A000040 (**), A049594 , A049595 .
primes such that the sum of the predecessor and successor primes is divisible by k: A112681 , A112794 , A112731 , A112789 , A112795 , A112796 , A112804 , A112847 , A112859 , A113155 , A113156 , A113157 , A113158
primes with X as smallest positive primitive root: (1) A001122 , A001123 , A001124 , A001125 , A001126 , A061323 , A061324 , A061325 , A061326 , A061327 ,
primes with X as smallest positive primitive root: (2) A061328 , A061329 , A061330 , A061331 , A061332 , A061333 , A061334 , A061335 , A061730 , A061731 ,
primes with X as smallest positive primitive root: (3) A061732 , A061733 , A061734 , A061735 , A061736 , A061737 , A061738 , A061739 , A061740 , A061741 ,
primes with X as smallest positive primitive root: (4) A114657 , A114658 , A114659 , A114660 , A114661 , A114662 , A114663 , A114664 , A114665 , A114666 ,
primes with X as smallest positive primitive root: (5) A114667 , A114668 , A114669 , A114670 , A114671 , A114672 , A114673 , A114674 , A114675 , A114676 ,
primes with X as smallest positive primitive root: (6) A114677 , A114678 , A114679 , A114680 , A114681 , A114682 , A114683 , A114684 , A114685 , A114686
primes, <= n: A000720 *
primes, absolute: A003459 *
primes, additive: A046704
primes, almost: see almost primes
primes, approximations to: A050503 , A050502 , A050504
primes, arithmetic progressions of, see primes, in arithmetic progressions
primes, automorphic: A046883 , A046884
primes, balanced: A006562 , A051795 , A054342
primes, Bertrand: A006992 *, A051501
primes, Bertrand: see also Bertrand's Postulate
Primes, by class number, A002148 , A002142 , A002146 , A002147 , A002149
primes, by Erdos-Selfridge class n+: (0) A005113 , A126433 , A101253
primes, by Erdos-Selfridge class n-: (0) A056637 , A101231 , A126805
primes, by Erdos-Selfrigde class n+: (1) A005105 , A005106 , A005107 , A005108 , A081633 , A081634
primes, by Erdos-Selfrigde class n+: (2) A081635 , A081636 , A081637 , A081638 , A081639 , A084071 , A090468 , A129474 , A129475
primes, by Erdos-Selfrigde class n-: (1) A005109 , A005110 , A005111 , A005112 , A081424 , A081425
primes, by Erdos-Selfrigde class n-: (2) A081426 , A081427 , A081428 , A081429 , A081430 , A081640 , A081641 , A129248 , A129249 , A129250
Primes, by number of digits, A003617 , A006879 , A006880 , A003618
primes, by order: (1) A007821 , A049078 , A049079 , A049080 , A049081 , A058322 , A058324 , A058325 , A058326 , A058327 , A058328 , A093046
primes, by order: (2) A000040 , A006450 , A038580 , A049090 , A049203 , A049202 , A057849 , A057850 , A057851 , A057847 , A058332 , A093047
Primes, by period length, A007615
primes, by primitive root , sequences related to (start):
primes, by primitive root: (01) A001122 A001123 A001124 A001125 A001126 A001913 A002230 A003147 A007348 A007349 A019334 A019335
primes, by primitive root: (02) A019336 A019337 A019338 A019339 A019340 A019341 A019342 A019343 A019344 A019345 A019346 A019347
primes, by primitive root: (03) A019348 A019349 A019350 A019351 A019352 A019353 A019354 A019355 A019356 A019357 A019358 A019359
primes, by primitive root: (04) A019360 A019361 A019362 A019363 A019364 A019365 A019366 A019367 A019368 A019369 A019370 A019371
primes, by primitive root: (05) A019372 A019373 A019374 A019375 A019376 A019377 A019378 A019379 A019380 A019381 A019382 A019383
primes, by primitive root: (06) A019384 A019385 A019386 A019387 A019388 A019389 A019390 A019391 A019392 A019393 A019394 A019395
primes, by primitive root: (07) A019396 A019397 A019398 A019399 A019400 A019401 A019402 A019403 A019404 A019405 A019406 A019407
primes, by primitive root: (08) A019408 A019409 A019410 A019411 A019412 A019413 A019414 A019415 A019416 A019417 A019418 A019419
primes, by primitive root: (09) A019420 A019421 A029932 A047933 A047934 A047935 A047936 A048975 A048976 A066529 A023048
primes, by primitive root: (09) A105874 -A105914
primes, by primitive root: see also Artin's constant
Primes, chains of, A005603 , A005602
primes, characteristic function of: A010051
Primes, compressed, A002036
primes, concatenation of: A033308
Primes, consecutive, A006549 , A007700 , A007513 , A007529 , A007530 , A006489
primes, cuban: A002407 , A002648 , A007645
primes, Cullen: A005849 *, A050920 *
primes, deceptive: A000864
Primes, decompositions into, A002375 , A002126 , A001031 , A002372 , A007414
primes, differences between: A001223 *, A007921 *, A030173 *, A037201
primes, differences between: see also primes, gaps between
primes, dihedral calculator: A038136
primes, dihedral palindromic: A048662
primes, dividing n: A001221 *, A001222 *, A006530 *, A046660
primes, doubled: A001747 , A005602 , A005603
primes, duodecimal: A006687
primes, Euclid-Pocklington: A053341 *
primes, Euclidean: A007996
primes, even: A001747
primes, Fermat: A019434 *, A050922
primes, Fibonacci numbers: A001605 *, A005478 *
primes, final digits of: A007652
primes, fortunate, A005235
primes, from Euclid's proof: A000945 *, A000946 *
primes, gaps between , sequences related to (start):
primes, gaps between, A001223 *, A007921 *, A030173 *, A037201 , A023200
primes, gaps between, A001359 , A006512 , A077800 , A001097 , A049591 , A124582 -A124596
primes, gaps between, A031924 A031925 A031926 A031927 A031928 A031929 A031930 A031931 A031932 A031933 A031934 A031935 A031936 A031937 A031938 A031939
primes, gaps between, LCM of: A080374 A080375 A080376 A083273 A083552 A083551
primes, gaps between, records for: A000101 * (upper end), A002386 * (lower end), A005250 * (gaps)
primes, gaps between, see also: A005669 , A002540 , A000230 , A000232 , A001549 , A001632
primes, gaps between, see also: primes, differences between
primes, generated by polynomials: see primes, produced by polynomials
primes, Germain: see primes, Sophie Germain
primes, good: A046869 , A028388
primes, half-quartan: A002646
primes, happy: A035497
primes, Higgs: A007459
primes, home, see also A048985 , A064841
primes, home: A037274 * (base 10), A048986 * and A064795 (base 2)
primes, Honaker: A033548
primes, iccanobiF: A036797
primes, in arithmetic progressions, sequences related to (start):
primes, in arithmetic progressions: (01) Consider n-term arithmetic progressions (APs) of primes, i, i+d, i+2d, ..., i+(n-1)d. We can minimize (a) the first term i, (b) the common difference d, or (c) the last term, l=i+(n-1)d. This gives rise to 12 sequences since for each problem we can list the values of i, d, l, and we can list the progressions as the rows of a triangle:
primes, in arithmetic progressions: (02) problem (a) i: A007918 * (assuming k-tuple cojecture), d: A061558 , l: A120302 , triangle: A130791
primes, in arithmetic progressions: (03) problem (b) i: A033189 , d: A033188 *, l: A113872 , triangle: A133276
primes, in arithmetic progressions: (04) problem (c) i: A113827 , d: A093364 , l: A005115 *, triangle: A133277
primes, in arithmetic progressions: (05) If we take the initial value to be the n-th prime (A000040 ) the the sequences are: d: A088430 , l: A113834 , triangle: A133278
primes, in arithmetic progressions: (06) One may also ask for n consecutive primes in arithmetic progression: this gives A006560 .
primes, in arithmetic progressions: (07) One may also consider n consecutive numbers in arithmetic progression having the same prime signature, and ask the same questions. This gives the following sequences:
primes, in arithmetic progressions: (08) problem (a) i: A133279 , d: A113461 , l: A127781 , triangle: A113460
primes, in arithmetic progressions: (09) problem (b) i: A034173 , d: the all-ones sequence A000012 , l: A034174 , triangle: A083785
primes, in arithmetic progressions: (10) problem (c) i: A087308 , d: A087310 , l: A133280 , triangle: A086786
primes, in arithmetic progressions: (11) One may also ask for n consecutive numbers with the same prime signature: this gives sequences A034173 , A034174 , A083785 again. See also A087307 .
primes, in arithmetic progressions: (12) See also A031217 A033168 A033290 A033446 A033447 A033448 A033449 A033450
primes, in arithmetic progressions: (13) See also A033451 A035050 A035089 A035091 A035092 A035093 A035094 A035095 A035096 A047980 A047981 A047982
primes, in arithmetic progressions: (14) See also A052239 A052242 A052243 A053647 A054203 A057324 A057325 A057326 A057327 A057328 A057329 A057330
primes, in arithmetic progressions: (15) See also A057331 A057778 A057874 A058252 A058323 A058362 A059044
primes, in decimal expansion of Pi: A005042
Primes, in intervals, A007491
Primes, in number fields, A003631 , A003625 , A003628 , A003630 , A003632 , A003626
Primes, in residue classes, A003627 , A002313 , A003629 , A002145 , A007520 , A002515 , A007528 , A002144 , A007521 , A002476 , A001132 , A007522 , A007519
Primes, in sequences, A003032 , A003033 , A002072
Primes, in ternary, A001363
primes, in various ranges , sequences related to (start):
primes, in various ranges: (1) A003604 A006879 A006880 A007053 A007508 A033843 A035533 A036351 A036386 A039506 A039507
primes, in various ranges: (2) A040014 A049035 A049040 A050251 A050258 A050986 A050987 A052130 A055206 A055552 A055683 A055728
primes, in various ranges: (3) A055729 A055730 A055731 A055732 A055737 A055738 A057573 A057978 A058191 A058247 A058248 A060969
primes, in various ranges: (4) A060970 A060971 A063501 A064151 A066265 A066873 A071973
primes, in various ranges: (5) A091644 A091645 A091646 A091647 A091705 A091706 A091707 A091708 A091709 A091710
primes, in various ranges: (6) A091634 A091635 A091636 A091637 A091638 A091639 A091640 A091641 A091642 A091643
Primes, inert, A003631 , A003625 , A003628 , A003630 , A003632 , A003626
primes, irregular: A000928 *, A061576 *
Primes, isolated, A007510
primes, isolated: A039818
Primes, largest, A006530 , A006990 , A007014 , A002374 , A003618
primes, left-truncatable: see truncatable primes
primes, lonely: A023186 , A023187 , A023188
primes, long period: A006883 *
primes, Lucas numbers: A001606 *, A005479 *
primes, Lucasian: A002515 *
primes, Mersenne: A000668 * (primes of form 2^p-1), A000043 * (p values)
primes, Mills's: A051254 *
primes, minus a constant: A000040 *, A014689 , A014692 , A040976 .
primes, multiplicative and additive: A046713
primes, multiplicative: A046703
primes, next: A007918
primes, number of less than n*10^k: (1) A000720 *, A038801 , A028505 , A038812 , A038813 , A038814 , A038815 , A038816 , A038817 , A038818 , A038819 ,
primes, number of less than n*10^k: (2) A038820 , A038821 , A038822 , A080123 , A080124 , A080125 , A080126 , A080127 , A080128 , A080129 , A116356 .
primes, octavan: A006686
primes, of a particular form, number that are less than or equal to 10^n: A091115 A091116 A091117 A091119 -A091129 A091099 A091098 A006880 A007508
primes, of form n! +- 1: A002981 , A002982
primes, of form x^2 + kxy + y^2: (1) A007519 A007645 A033212 A033215 A038872 A068228 A107008 A107008 A107145 A107152 A139492 A139493
primes, of form x^2 + kxy + y^2: (2) A139493 A139494 A139495 A139496 A139497 A139498 A139499 A139500 A139501 A139502 A139503 A139504
primes, of form x^2 + kxy + y^2: (3) A139505 A139506 A139507 A139508 A139509 A139510 A139511 A139512
primes, of form x^2+27y^2: A014752 , A040028
primes, of form x^2+y^2: A002313 *, A002331 , A002330 , A002144
primes, order of: A049076 , A007097
primes, palindromic: A002385 *, A007500 , A007616
primes, palindromic: see also (1) A016041 A029971 A029972 A029973 A029974 A029975 A029976 A029977 A029978 A029979 A029980 A029981 A029982 A029732
primes, palindromic: see also (2) A046942 A046941 A50236 A050239 A039954 A118064 A119351 A016115 A050251 A050683
primes, palindromic: see also palindromic primes
primes, period of reciprocal of, see 1/p
primes, Pierpont: A005109
Primes, primitive roots of, A001918 , A002233 , A002199 , A002231 , A001122 , A007348 , A003147 , A001913 , A001123 , A007349 , A001124 , A001125 , A001126
primes, produced by polynomials, etc.: A050268 , A121887 , A139414 , A033189
Primes, products of, A007467 , A006881 , A006094 , A007304
primes, products of: A000040 (1), A001358 (2), A014612 (3), A014613 (4)
primes, pseudo: see pseudoprimes
primes, quadratic form, discriminant -104: A107132 , A033218
primes, quadratic form, discriminant -108: A014752
primes, quadratic form, discriminant -112: A107133 , A107134
primes, quadratic form, discriminant -116: A033219
primes, quadratic form, discriminant -11: A056874 , A106857
primes, quadratic form, discriminant -120: A107135 , A107136 , A107137 , A033220
primes, quadratic form, discriminant -124: A033221
primes, quadratic form, discriminant -128: A105389
primes, quadratic form, discriminant -12: A002476
primes, quadratic form, discriminant -132: A107138 , A033222
primes, quadratic form, discriminant -136: A107139 , A033223
primes, quadratic form, discriminant -140: A107140 , A033224
primes, quadratic form, discriminant -144: A107141 , A107142
primes, quadratic form, discriminant -148: A033225
primes, quadratic form, discriminant -152: A107143 , A033226
primes, quadratic form, discriminant -156: A033227
primes, quadratic form, discriminant -15: A033212 , A106858 , A106859 , A106860 , A106861
primes, quadratic form, discriminant -160: A107144 , A107145
primes, quadratic form, discriminant -164: A033228
primes, quadratic form, discriminant -168: A107146 , A107147 , A107148 , A033229
primes, quadratic form, discriminant -16: A002144 , A002313
primes, quadratic form, discriminant -172: A033230
primes, quadratic form, discriminant -176: A107149 , A107150
primes, quadratic form, discriminant -180: A107151 , A107152
primes, quadratic form, discriminant -184: A107153 , A033231
primes, quadratic form, discriminant -188: A033232
primes, quadratic form, discriminant -192: A107154
primes, quadratic form, discriminant -196: A107155
primes, quadratic form, discriminant -19: A106862 , A106863
primes, quadratic form, discriminant -200: A107156 , A107157
primes, quadratic form, discriminant -204: A107158 , A033233
primes, quadratic form, discriminant -208: A107159 , A107160
primes, quadratic form, discriminant -20: A033205 , A106864 , A106865
primes, quadratic form, discriminant -212: A033234
primes, quadratic form, discriminant -216: A107161 , A107162
primes, quadratic form, discriminant -220: A033235
primes, quadratic form, discriminant -224: A107163 , A107164
primes, quadratic form, discriminant -228: A107165 , A033236
primes, quadratic form, discriminant -232: A107166 , A033237
primes, quadratic form, discriminant -236: A033238
primes, quadratic form, discriminant -23: A106866 , A106867 , A106868 , A106869
primes, quadratic form, discriminant -240: A107167 , A107168 , A107169
primes, quadratic form, discriminant -244: A033239
primes, quadratic form, discriminant -248: A107170 , A033240
primes, quadratic form, discriminant -24: A033199 , A084865
primes, quadratic form, discriminant -256: A014754
primes, quadratic form, discriminant -260: A107171 , A033241
primes, quadratic form, discriminant -264: A107172 , A107173 , A107174 , A033242
primes, quadratic form, discriminant -268: A033243
primes, quadratic form, discriminant -272: A107175 , A107176
primes, quadratic form, discriminant -276: A107177 , A033244
primes, quadratic form, discriminant -27: A002476 , A106870
primes, quadratic form, discriminant -280: A107178 , A107179 , A107180 , A033245
primes, quadratic form, discriminant -284: A033246
primes, quadratic form, discriminant -288: A107181
primes, quadratic form, discriminant -28: A033207
primes, quadratic form, discriminant -292: A033247
primes, quadratic form, discriminant -296: A107182 , A033248
primes, quadratic form, discriminant -300: A107183 , A107184
primes, quadratic form, discriminant -304: A107185 , A107186
primes, quadratic form, discriminant -308: A107187 , A033249
primes, quadratic form, discriminant -312: A107188 , A107189 , A107190 , A033250
primes, quadratic form, discriminant -316: A033251
primes, quadratic form, discriminant -31: A033221 , A106871 , A106872 , A106873 , A106874
primes, quadratic form, discriminant -320: A107191 , A107192
primes, quadratic form, discriminant -324: A107193
primes, quadratic form, discriminant -328: A107194 , A033252
primes, quadratic form, discriminant -32: A007519 , A007520 , A106875 , A106876
primes, quadratic form, discriminant -332: A033253
primes, quadratic form, discriminant -336: A107195 , A107196 , A107197 , A107198
primes, quadratic form, discriminant -340: A107199 , A033254
primes, quadratic form, discriminant -344: A107200 , A033255
primes, quadratic form, discriminant -348: A033256
primes, quadratic form, discriminant -352: A107201 , A107202
primes, quadratic form, discriminant -356: A033257
primes, quadratic form, discriminant -35: A106877 , A106878 , A106879 , A106880 , A106881
primes, quadratic form, discriminant -360: A107203 , A107204 , A107205 , A107206
primes, quadratic form, discriminant -364: A107207 , A033258
primes, quadratic form, discriminant -368: A107208 , A107209
primes, quadratic form, discriminant -36: A040117 , A068228 , A106882
primes, quadratic form, discriminant -372: A107210 , A033202
primes, quadratic form, discriminant -376: A107211 , A033204
primes, quadratic form, discriminant -380: A033206
primes, quadratic form, discriminant -384: A107212 , A107213
primes, quadratic form, discriminant -388: A033208
primes, quadratic form, discriminant -392: A107214 , A107215
primes, quadratic form, discriminant -396: A107216 , A107217
primes, quadratic form, discriminant -39: A033227 , A106883 , A106884 , A106885 , A106886 , A106887 , A106888
primes, quadratic form, discriminant -3: A007645
primes, quadratic form, discriminant -400: A107218 , A107219
primes, quadratic form, discriminant -40: A033201 , A106889
primes, quadratic form, discriminant -43: A106890 , A106891
primes, quadratic form, discriminant -44: A033209 , A106282 , A106892 , A106893
primes, quadratic form, discriminant -47: A033232 , A106894 , A106895 , A106896 , A106897 , A106898 , A106899 , A106900
primes, quadratic form, discriminant -48: A068229
primes, quadratic form, discriminant -4: A002313
primes, quadratic form, discriminant -51: A106901 , A106902 , A106903 , A106904
primes, quadratic form, discriminant -52: A033210 , A106905 , A106906
primes, quadratic form, discriminant -55: A033235 , A106907 , A106908 , A106909 , A106910 , A106911 , A106912 , A106913
primes, quadratic form, discriminant -56: A033211 , A106914 , A106915 , A106916 , A106917
primes, quadratic form, discriminant -59: A106918 , A106919 , A106920 , A106921 , A106922
primes, quadratic form, discriminant -63: A106923 , A106924 , A106925 , A106926 , A106927 , A106928 , A106929 , A106930
primes, quadratic form, discriminant -64: A007521 , A106931
primes, quadratic form, discriminant -67: A106932 , A106933
primes, quadratic form, discriminant -68: A033213 , A106934 , A106935 , A106936 , A106937 , A106938
primes, quadratic form, discriminant -71: A033246 , A106939 , A106940 , A106941 , A106942 , A106943 , A106944 , A106945 , A106946 , A106947 , A106948
primes, quadratic form, discriminant -72: A106949 , A106950
primes, quadratic form, discriminant -75: A033212 , A106951 , A106952
primes, quadratic form, discriminant -76: A033214 , A106953 , A106954 , A106955
primes, quadratic form, discriminant -79: A033251 , A106956 , A106957 , A106958 , A106959 , A106960 , A106961 , A106962
primes, quadratic form, discriminant -7: A045373 , A106856
primes, quadratic form, discriminant -80: A047650 , A106963 , A106964 , A106965
primes, quadratic form, discriminant -83: A106966 , A106967 , A106968 , A106969 , A106970
primes, quadratic form, discriminant -84: A033215 , A102271 , A102273 , A106971 , A106972 , A106973 , A106974
primes, quadratic form, discriminant -87: A033256 , A106975 , A106976 , A106977 , A106978 , A106979 , A106980 , A106981 , A106982 , A106983
primes, quadratic form, discriminant -88: A033216 , A106984
primes, quadratic form, discriminant -8: A033203
primes, quadratic form, discriminant -91: A106985 , A106986 , A106987 , A106988 , A106989
primes, quadratic form, discriminant -92: A033217
primes, quadratic form, discriminant -95: A033206 , A106990 , A106991 , A106992 , A106993 , A106994 , A106995 , A106996 , A106997 , A106998 , A106999 , A107000 , A107001
primes, quadratic form, discriminant -96: A107002 , A107003 , A107004 , A107005 , A107006 , A107007 , A107008
primes, quadratic form, discriminant -99: A107009 , A107010 , A107011 , A107012 , A107013
primes, quadratic form, discriminant 1020: A139512
primes, quadratic form, discriminant 117: A139494
primes, quadratic form, discriminant 140: A139495
primes, quadratic form, discriminant 165: A139496
primes, quadratic form, discriminant 21: A139492
primes, quadratic form, discriminant 221: A139497
primes, quadratic form, discriminant 285: A139498
primes, quadratic form, discriminant 357: A139499
primes, quadratic form, discriminant 396: A139500
primes, quadratic form, discriminant 437: A139501
primes, quadratic form, discriminant 480: A139502
primes, quadratic form, discriminant 525: A139503
primes, quadratic form, discriminant 572: A139504
primes, quadratic form, discriminant 621: A139505
primes, quadratic form, discriminant 672: A139506
primes, quadratic form, discriminant 725: A139507
primes, quadratic form, discriminant 77: A139493
primes, quadratic form, discriminant 780: A139508
primes, quadratic form, discriminant 837: A139509
primes, quadratic form, discriminant 896: A139510
primes, quadratic form, discriminant 957: A139511
Primes, quadratic partitions of, A002973 , A002972
Primes, quadratic residues of, A002223 , A002224 , A002225 , A002226 , A002228 , A002227
primes, quartan: A002645
primes, quintan: A002649 , A002650
primes, reciprocals of, periods: see 1/p
primes, regular: A007703 *
Primes, represented by quadratic forms, A002496 , A007645 , A002383 , A007490 , A002327 , A005473 , A005471 , A007635 , A007639 , A007637 , A007641 , A005846
primes, repunit: A004022 *, A004023 *
primes, right-truncatable: see truncatable primes
primes, safe: A005385 *, A051900 , A051901 , A051902
primes, sextan: A002647
primes, short period: A006559 *
Primes, single, A007510
primes, Sophie Germain: A005384
Primes, special sequences of, A001259 , A001275
Primes, square roots of, A000006
primes, Stern: A042978
primes, strobogrammatic: A007597 , A018847
primes, strong: A051634
primes, sum of the first k^n primes, k=2,3,5,6,7,10: A099825 , A099826 , A113633 , A113634 , A113635 , A099824
Primes, sums of digits of, A007605
Primes, sums of, A007610 , A001414 , A007504 , A007468 , A002373 , A001043 , A001172
Primes, supersingular, A006962
primes, that divide sum of all primes <= p: A007506 , A024011 , A028581 , A028582
Primes, to odd powers only, A002035
primes, transformed by cellular automata: A093510 A093511 A093512 A093513 A093514 A093515 A093516 A093517
Primes, transforms of, A007442 , A007444 , A007447 , A007441 , A007445 , A007296 , A007446
primes, truncatable: see truncatable primes
primes, truncated: see truncatable primes
primes, twin primes conjecture: see also A093483
primes, twin: A001359 *, A014574 *, A006512 *, A001097 , A077800
primes, twin: see also twin primes constant
primes, twin: see also A005597 , A007508 , A033843 , A036061 , A036062 , A036063
primes, undulating: A039944
primes, various subsets in range 2^n,2^(n+1), sequences related to (start): (numbers in parentheses give the primes whose occurrences are being counted)
primes, various subsets in range 2^n,2^(n+1): (1) A036378 * (A000040 ), A095005 (A027697 ), A095006 (A027699 ), A095007 (A002144 )
primes, various subsets in range 2^n,2^(n+1): (2) A095008 (A002145 ), A095009 (A007519 ), A095010 (A007520 ), A095011 (A007521 ), A095012 (A007522 ), A095013 (A001132 ), A095014 (A003629 )
primes, various subsets in range 2^n,2^(n+1): (3) A095015 (A002476 ), A095016 (A007528 ), A095017 (A001359 ), A095018 (A066196 ), A095019 (A095071 ), A095020 (A095070 ), A095021 (A030430 )
primes, various subsets in range 2^n,2^(n+1): (4) A095022 (A030432 ), A095023 (A030431 ), A095024 (A030433 ), A095052 (A095072 ), A095053 (A095073 ), A095054 (A095074 ), A095055 (A095075 )
primes, various subsets in range 2^n,2^(n+1): (5) A095056 (A081091 ), A095057 (A095077 ), A095058 (A095078 ), A095059 (A095079 ), A095060 (A095080 ), A095061 (A095081 ), A095062 (A095082 )
primes, various subsets in range 2^n,2^(n+1): (6) A095063 (A095083 ), A095064 (A095084 ), A095065 (A095085 ), A095066 (A095086 ), A095067 (A095087 ), A095068 (A095088 ), A095069 (A095089 )
primes, various subsets in range 2^n,2^(n+1): (7) A095092 (A095102 ), A095093 (A095103 ), A095094 (A080114 ), A095095 (A080115 )
primes, weak: A051635
primes, weakly prime numbers: A050249
primes, which are average of their neighbors: A006562
Primes, whose reversal is a square, A007488
primes, Wilson: A007540 *
Primes, with consecutive digits, A006510 , A006055
primes, with first digit 1 (or 2, 3, etc.): A045707 , A045708 , A045709 , etc.
Primes, with large least nonresidues, A002225 , A002226 , A002228 , A002227
Primes, with prime subscripts, A006450
primes, Woodall: A002234 *, A050918 *
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, sequences related to (start):
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (01): A000043 A001770 A001771 A001772 A001773 A001774 A001775 A002235 A002236 A002237 A002238 A002240
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (02): A002242 A002253 A002254 A002256 A002258 A002259 A002261 A002269 A002274 A032353 A032356 A032359
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (03): A032360 A032361 A032362 A032363 A032364 A032365 A032366 A032367 A032368 A032370 A032371 A032372
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (04): A032373 A032374 A032375 A032376 A032377 A032379 A032380 A032381 A032382 A032383 A032384 A032385
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (05): A032386 A032387 A032388 A032389 A032390 A032391 A032392 A032393 A032394 A032395 A032396 A032397
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (06): A032398 A032399 A032400 A032401 A032402 A032403 A032404 A032405 A032406 A032407 A032408 A032409
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (07): A032410 A032411 A032412 A032413 A032414 A032415 A032416 A032417 A032418 A032419 A032420 A032421
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (08): A032422 A032423 A032424 A032425 A032453 A032454 A032455 A032456 A032457 A032458 A032459 A032460
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (09): A032461 A032462 A032464 A032465 A032466 A032467 A032468 A032469 A032470 A032471 A032472 A032473
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (10): A032474 A032475 A032476 A032477 A032478 A032479 A032480 A032481 A032482 A032483 A032484 A032485
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (11): A032486 A032487 A032488 A032489 A032490 A032491 A032492 A032493 A032494 A032495 A032496 A032497
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (12): A032498 A032499 A032500 A032501 A032502 A032503 A032504 A032507 A046758 A050537 A050538 A050539
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (13): A050540 A050541 A050543 A050544 A050545 A050546 A050547 A050549 A050550 A050551 A050552 A050553
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (14): A050554 A050555 A050556 A050557 A050558 A050559 A050560 A050561 A050562 A050563 A050564 A050565
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (15): A050566 A050567 A050568 A050569 A050570 A050571 A050572 A050573 A050574 A050575 A050576 A050577
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (16): A050578 A050579 A050580 A050581 A050582 A050583 A050584 A050585 A050586 A050587 A050588 A050589
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (17): A050590 A050591 A050592 A050593 A050594 A050595 A050596 A050597 A050598 A050599 A050616 A050617
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (18): A050618 A050619 A050830 A050831 A050832 A050833 A050834 A050835 A050836 A050837 A050838 A050839
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (19): A050840 A050841 A050842 A050843 A050844 A050845 A050846 A050847 A050848 A050849 A050850 A050851
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (20): A050852 A050853 A050854 A050855 A050856 A050857 A050858 A050859 A050860 A050861 A050862 A050863
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (21): A050864 A050865 A050866 A050867 A050868 A050869 A050877 A050878 A050879 A050880 A050881 A050882
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (22): A050883 A050884 A050885 A050886 A050887 A050888 A050889 A050890 A050891 A050892 A050893 A050894
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (23): A050895 A050896 A050897 A050898 A050899 A050900 A050901 A050902 A050903 A050904 A050905 A050906
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (24): A050907 A050908 A053345 A053346 A053348 A053349 A053350 A053351 A053352 A053353 A053354 A053355
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (25): A053356 A053357 A053358 A053359 A053360 A053361 A053362 A053363 A053364 A053365 A053366
primes: values of n such that k*2^n-1 (or k*2^n+1) is prime, for k=1,3,5,7,... (26): A007505 A050522 A050523 A050524 A050525 A050526 A050527 A050528 A002255 A050413
Primes:: A005361 , A002200 , A002038 , A006093 , A007445 , A007296 , A001259 , A006450 , A001275
primeth recurrence: A007097 *
primitive (1):: A000020 , A003050 , A002233 , A002199 , A000019 , A005992 , A001578 , A006246 , A006245 , A002589
primitive (2):: A001122 , A007348 , A006248 , A006991 , A006039 , A006036 , A001913 , A001123 , A007627 , A006576 , A007349 , A001124 , A001125 , A002975 , A001126
Primitive factors, A002185 , A007138 , A002184
primitive polynomials: see also trinomials over GF(2)
primitive roots, sequences related to (start):
primitive roots, primes by: see primes by primitive root
primitive roots: A060749 *, A001918 *, A002199 , A002229 , A002230 , A002231 , A029932 , A071894
primorial numbers, sequences related to (start):
primorial numbers: A002110 *, A034386 *
primorial numbers: see also A056113 , A056129 , A006862 , A057588 , A129912
primorial primes: A005234 *, A014545 *, A018239 *, A006794 *, A057704 *, A057705 *
principal character: A005368
prism numbers: A005914 , A005915 , A005919 , A005920