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A006285 Odd numbers not of form p + 2^x (de Polignac numbers).
(Formerly M5390)
+0
5
1, 127, 149, 251, 331, 337, 373, 509, 599, 701, 757, 809, 877, 905, 907, 959, 977, 997, 1019, 1087, 1199, 1207, 1211, 1243, 1259, 1271, 1477, 1529, 1541, 1549, 1589, 1597, 1619, 1649, 1657, 1719, 1759, 1777, 1783, 1807, 1829, 1859, 1867, 1927, 1969, 1973 (list; graph; listen)
OFFSET

1,2

COMMENT

For primes see A065381, composites A098237. - Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 19 2008

Contains both primes (A065381) and composites (A098237). - Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 19 2008

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, see #127.

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

P. Pollack, Analytic and Combinatorial Number Theory Course Notes, p. 193, ex. 5.1.6, p. 216ff.

MATHEMATICA

Do[ i = 0; l = Ceiling[ N[ Log[ 2, n ] ] ]; While[ ! PrimeQ[ n - 2^i ] && i < l, i++ ]; If[ i == l, Print[ n ] ], {n, 1, 2000, 2} ]

PROGRAM

(PARI) isA006285(n, i=1)={ n%2 & until( isprime(n-i) | n<i<<=1, ); i>n } \\ - M. F. Hasler (www.univ-ag.fr/~mhasler), Jun 19 2008

CROSSREFS

Cf. A133122, A098237, A065381.

Cf. A133122, A098237, A065381.

Sequence in context: A153815 A126096 A164966 this_sequence A094933 A156702 A137985

Adjacent sequences: A006282 A006283 A006284 this_sequence A006286 A006287 A006288

KEYWORD

nonn,nice,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Apr 13 2000

Link to Pollack Notes corrected by Rainer Rosenthal (r.rosenthal(AT)web.de), Feb 03 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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