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Number of n-bit binary reversible primes.
1

%I #12 Nov 12 2023 12:49:38

%S 0,1,2,2,4,6,9,14,27,36,69,94,178,308,589,908,1540,2814,5158,9210,

%T 16732,29392,55109,101120,179654,332130,625928,1136814,2120399,

%U 3963166,7377931,13878622,25958590,48421044,92163237,173672988,325098134,617741968,1177573074,2221353224,4222570054

%N Number of n-bit binary reversible primes.

%C Number of primes p in [2^(n-1),2^n) whose reverse in base 2 is also prime. The count includes palindromic primes in base 2.

%H Cathy Swaenepoel, <a href="/A366910/b366910.txt">Table of n, a(n) for n = 1..50</a>

%H Cécile Dartyge, Bruno Martin, Joël Rivat, Igor E. Shparlinski, and Cathy Swaenepoel, <a href="https://arxiv.org/abs/2309.11380">Reversible primes</a>, arXiv:2309.11380 [math.NT], 2023. See p. 34.

%e The 5-bit binary reversible primes are 17="10001", 23="10111", 29="11101" and 31="11111", so a(5)=4.

%Y Cf. A074831, A074832, A117773, A048054.

%K nonn,base

%O 1,3

%A _Cathy Swaenepoel_, Oct 27 2023