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A091997 Numbers n such that 3*2^(n-1) - 1 is prime. 2

%I #10 Jan 30 2020 04:49:16

%S 1,2,3,4,5,7,8,12,19,35,39,44,56,65,77,95,104,144,207,217,307,325,392,

%T 459,471,828,1275,3277,4205,5135,7560,12677,14899,18124,18820,25691,

%U 26460,41629,51388,71784,80331,85688,88172,97064,123631,155931,164988,234761,414841

%N Numbers n such that 3*2^(n-1) - 1 is prime.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ThabitibnKurrahRule.html">Thabit ibn Kurrah's rules</a>

%F a(n) = A002235(n) + 1. - _Jinyuan Wang_, Jan 30 2020

%e 3*2^(3-1) - 1 = 11 so a(1) = 3.

%t Do[If[PrimeQ[3*2^(n - 1) - 1], Print[n]], {n, 1, 8000}] (* Mohammed Bouayoun (Mohammed.Bouayoun(AT)yahoo.fr), Apr 13 2006 *)

%o (PARI) for (i=1,1000,if(isprime(3*2^(i-1)-1),print1(i,",")))

%Y Cf. A002235.

%K nonn

%O 1,2

%A Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Mar 17 2004

%E More terms from Mohammed Bouayoun (Mohammed.Bouayoun(AT)yahoo.fr), Apr 13 2006

%E More terms from _Jinyuan Wang_, Jan 30 2020

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Last modified June 7 02:04 EDT 2024. Contains 373140 sequences. (Running on oeis4.)