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A007644 Primes not of form | 3^a +- 2^b | where a, b are nonnegative integers.
(Formerly M5307)
3

%I M5307 #30 Feb 16 2020 01:17:06

%S 53,71,103,107,109,149,151,157,163,167,173,181,191,193,197,199,223,

%T 233,263,271,277,281,293,311,313,317,331,347,349,353,359,367,373,379,

%U 383,389,397,401,409,419,421,433,439,443,449,457,461,463,467,479,487,491

%N Primes not of form | 3^a +- 2^b | where a, b are nonnegative integers.

%C Contains all primes congruent to 53, 77 or 103 modulo 120. - _Jianing Song_, Feb 15 2020

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H H. Gauchman and I. Rosenholtz (Proposers), R. Martin (Solver), <a href="https://www.jstor.org/stable/2691457">Difference of prime powers, Problem 1404</a>, Math. Mag., 65 (No. 4, 1992), 265; <a href="https://www.jstor.org/stable/2690747">Solution</a>, Math. Mag., 66 (No. 4, 1993), 269.

%e 127 = 2^7 - 3^0, so 127 is not a member.

%e 257 = 3^0 + 2^8, so 257 is not a member.

%Y Cf. A007643, A004051, A103146.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, _Mira Bernstein_, _Robert G. Wilson v_

%E Minor edits by _N. J. A. Sloane_, Jun 27 2010

%E More terms from _Jon E. Schoenfield_, Jun 30 2010

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Last modified April 23 14:49 EDT 2024. Contains 371914 sequences. (Running on oeis4.)