A167609 Primes which are not the sum of two consecutive nonprimes A141468.

2, 3, 7, 11, 13, 23, 37, 47, 59, 61, 73, 83, 107, 157, 167, 179, 193, 227, 263, 277, 313, 347, 359, 383, 397, 421, 457, 467, 479, 503, 541, 563, 587, 613, 661, 673, 719, 733, 757, 839, 863, 877, 887, 983, 997, 1019, 1093, 1153, 1187, 1201, 1213, 1237, 1283

Offset: 1

Author

Juri-Stepan Gerasimov, Nov 07 2009

Keywords

• nonn

Comments

2, and primes p such that floor(p/2) or ceiling(p/2) is prime, but not both. - Robert Israel, Jan 23 2024

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A005383, A005385, A060254, A079149, A141468.

Programs

Maple

filter:= proc(n) if n mod 4 = 1
  then isprime(n) and isprime((n+1)/2)
  else isprime(n) and isprime((n-1)/2)
fi end proc:
2, 3, op(select(filter, [seq(i,i=7 .. 10000, 2)])); # Robert Israel, Jan 23 2024

Extensions

Entries checked by R. J. Mathar, May 30 2010