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A256397
Primes congruent to {17, 23} mod 24.
1
17, 23, 41, 47, 71, 89, 113, 137, 167, 191, 233, 239, 257, 263, 281, 311, 353, 359, 383, 401, 431, 449, 479, 503, 521, 569, 593, 599, 617, 641, 647, 719, 743, 761, 809, 839, 857, 863, 881, 887, 911, 929, 953, 977, 983, 1031, 1049, 1097, 1103, 1151, 1193
OFFSET
1,1
COMMENTS
All these primes do not divide any number of the form 2^k + 3. Therefore, they are not in A256396.
FORMULA
MATHEMATICA
Select[Prime@Range[196], MemberQ[{17, 23}, Mod[#, 24]] &]
PROG
(Magma) [p: p in PrimesUpTo(1193) | p mod 24 in {17, 23}];
(PARI) select(p->my(k=p%24); k==17||k==23, primes(1000)) \\ Charles R Greathouse IV, Jun 03 2015
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved