|
Search: id:A057948
|
|
|
| A057948 |
|
S-primes: let S={1,5,9, ... 4i+1, ...}; then an S-prime is in S but is not divisible by any members of S except itself and 1. |
|
+0
4
|
|
| 5, 9, 13, 17, 21, 29, 33, 37, 41, 49, 53, 57, 61, 69, 73, 77, 89, 93, 97, 101, 109, 113, 121, 129, 133, 137, 141, 149, 157, 161, 173, 177, 181, 193, 197, 201, 209, 213, 217, 229, 233, 237, 241, 249, 253, 257, 269, 277, 281, 293, 301, 309, 313, 317, 321, 329
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Factorization in S is not unique. See related sequences.
|
|
REFERENCES
|
T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, page 101, problem 1.
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Hilbert Number [From Eric W. Weisstein (eric(AT)weisstein.com), Sep 15 2008]
|
|
EXAMPLE
|
21 is of the form 4i+1, but it is not divisible by any smaller S-primes, so 21 is in the sequence.
|
|
CROSSREFS
|
Cf. A054520, A057949, A057950.
Sequence in context: A016813 A004766 A145288 this_sequence A004958 A088346 A098109
Adjacent sequences: A057945 A057946 A057947 this_sequence A057949 A057950 A057951
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Jud McCranie (j.mccranie(AT)comcast.net), Oct 14 2000
|
|
|
Search completed in 0.002 seconds
|
