A145038 Numbers to which Mersenne primes 2^p-1 can be congruent mod k! (for k > 1).

1, 3, 7, 31, 127, 271, 607, 2047, 3151, 8191, 10111, 40447, 42367, 48511, 50431, 80767, 88831, 90751, 121087, 131071, 161407, 163327, 169471, 171391, 201727, 209791, 211711, 243967, 250111, 282367, 290431, 292351, 322687, 324607, 332671

Offset: 1

Author

Artur Jasinski, Sep 30 2008

Keywords

• nonn

Comments

All Mersenne primes are congruent to 1 mod 2!, 1 mod 3! (with the exception of the first one), 7 mod 4! (with the exception of the first one), 7 mod 5! (see A112633), or 31 mod 5! (see A145040).

Crossrefs

Cf. A000668, A124477, A139484, A112633, A145040, A145041, A145042.