A263561 Odd numbers n such that for every k >= 1, n*2^k - 1 has a divisor in the set {3, 5, 13, 17, 97, 241, 257}.

42270067, 97579567, 340716433, 721933559, 890948323, 1726122269, 1865978047, 1889699677, 2362339121, 3185721853, 3637126963, 4668508603, 5064217117, 5569622789, 7480754459, 7701804269, 8594194301, 9005098303, 9180863669, 9939496717, 9979211051

Offset: 1

Author

Arkadiusz Wesolowski, Oct 21 2015

Keywords

• nonn

Comments

What is the smallest term of this sequence that belongs to A076335? Is it the smallest Brier number?

This sequence contains only numbers of the form 30*k + 7, 30*k + 11, 30*k + 13, 30*k + 29.

Links

• Arkadiusz Wesolowski, Table of n, a(n) for n = 1..96
• Chris Caldwell, The Prime Glossary, Riesel number
• Carlos Rivera, Problem 29 and Problem 58
• Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1).

Crossrefs

Cf. A076335, A263347.

Subsequence of A101036.

A263562 gives the primes.

Formula

a(n) = a(n-96) + 39832304070 for n > 96.