A158848 Prime numbers p where 2^k-p is prime, with k>6 and minimal.

67, 97, 109, 149, 167, 173, 197, 227, 233, 239, 251, 271, 283, 313, 331, 349, 373, 409, 433, 439, 499, 509, 521, 557, 563, 593, 641, 677, 743, 761, 773, 797, 827, 857, 887, 911, 941, 953, 971, 977, 983, 1013, 1019, 1021, 1039, 1051, 1129, 1171, 1237, 1279, 1291, 1297, 1321

Offset: 1

Author

Vladimir Shevelev, Mar 28 2009

Keywords

• nonn

Comments

These are the primes removed according to algorithm of A156284 beginning with m=7.

Powers 2^m, m>=7, are not expressible as sums of two primes which are not in the sequence.

Links

• Bill McEachen, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A152451, A156284, A158756, A158759, A158846, A158847, A086081.

Programs

PARI

isok(p) = if (isprime(p), my(k=ceil(log(p)/log(2))); (k >= 7) && isprime(2^k-p)); \\ Michel Marcus, Jan 22 2023

Formula

a(n) = A086081(n+11). - Bill McEachen, Jan 22 2023

Extensions

Missing terms 773, 797, 827, 857 added by Michel Marcus, Jan 23 2023

New name from Bill McEachen, Jan 22 2023