A283051 Positive integers n such that none of the primes of the form k*2^n + 1 (with k odd) divide any Fermat number F(m) = 2^(2^m) + 1, m >= 0.

3, 5, 6, 10

Offset: 1

Author

Arkadiusz Wesolowski, Feb 27 2017

Keywords

• nonn
• hard
• more

Comments

Conjecture: sequence is infinite.

a(5) >= 18.

Links

• Proth Search Page, Prime factors of Fermat numbers
• Eric Weisstein's World of Mathematics, Fermat Number

Crossrefs

Cf. A019434, A023394, A228845, A228846, A229857, A231203.