A138837 Non-Mersenne primes: A000040 \ A000668.

2, 5, 11, 13, 17, 19, 23, 29, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283

Offset: 1

Author

Omar E. Pol, Apr 03 2008

Keywords

• easy
• nonn

Comments

Primes that are not Mersenne primes A000668.

Pandigital primes in base 2. (Pandigital interpreted as including all digits, not necessarily only once each.) - Franklin T. Adams-Watters, May 11 2011

Primes whose sum of divisors is not a power of 2. - Omar E. Pol, Dec 19 2016

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• Microsoft Ltd., The Prime Challenge, Dec. 2013
• OEIS wiki, Pandigital primes.

Crossrefs

Primes in A133398.

Cf. A000040, A000203, A000668, A155151.

Programs

Mathematica

max = 300; Complement[Prime[Range[PrimePi[max]]], 2^Range[Ceiling[Log[2, max]]] - 1] (* Alonso del Arte, Dec 30 2013 *)

PARI

is_A138837(n)={isprime(n)&&1<M. F. Hasler, Feb 05 2014

Formula

A138837 = A000040 \ A000668. - M. F. Hasler, Feb 09 2014

Extensions

New name from Omar E. Pol, Jan 02 2014