A361900 Numbers k such that 3*153479820268467961^2*2^k + 1 is prime.

600, 810, 1074, 7974, 22290, 43086

Offset

1,1

Comments

Let p be a prime number of the form 3*153479820268467961^2*2^k + 1 with k > 0, then the multiplicative order of 2 modulo p is not of the form 2^(m+1), m >= 0. Hence, p does not divide any Fermat number F(m) = 2^(2^m) + 1.

Links

Table of n, a(n) for n=1..6.

Mathematica

Select[Range[2, 10^4, 2], PrimeQ[3*153479820268467961^2*2^# + 1] &]

Crossrefs

Cf. A000215, A229852, A351332, A361898, A361899.

Sequence in context: A362324 A172244 A090222 * A216058 A157918 A092183

Adjacent sequences: A361897 A361898 A361899 * A361901 A361902 A361903

Keyword

nonn,more

Author

Arkadiusz Wesolowski, Mar 28 2023

Status

approved