

A301918


Primes which divide numbers of the form 3^k+3.


1



2, 3, 5, 7, 17, 19, 29, 31, 37, 41, 43, 53, 61, 67, 73, 79, 89, 97, 101, 103, 113, 127, 137, 139, 149, 151, 157, 163, 173, 193, 197, 199, 211, 223, 233, 241, 257, 269, 271, 281, 283, 293, 307, 317, 331, 337, 349, 353, 367, 373, 379, 389, 397, 401, 409, 439
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OFFSET

1,1


COMMENTS

Union of {3} and A301916, because 3^k + 3 = 3*(3^(k1) + 1). [Comment edited by Jeppe Stig Nielsen, Jul 04 2020.]
Can be used to factor P+1 values where P is a potential prime of the form 3^k+2.
Is this 2 and 3 with A045318?  David A. Corneth, May 04 2018
No, it is not. Primes like 769, 1297, ... are also here but not in A045318. See A320481 for the explanation.  Jeppe Stig Nielsen, Jun 27 2020


LINKS

Table of n, a(n) for n=1..56.


EXAMPLE

All values of 3^k+3 are multiples of 2, so 2 is in the sequence.
3^4+3 = 84, which is a multiple of 7, so 7 is in the sequence.


CROSSREFS

Cf. A045318, A301916, A301917, A301919.
Sequence in context: A164060 A113029 A090432 * A127042 A069802 A067954
Adjacent sequences: A301915 A301916 A301917 * A301919 A301920 A301921


KEYWORD

nonn


AUTHOR

Luke W. Richards, Mar 28 2018


STATUS

approved



