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A092131 Distance from 2^n to the next prime. 5

%I #11 Oct 19 2022 06:37:37

%S 0,1,3,1,5,3,3,1,9,7,5,3,17,27,3,1,29,3,21,7,17,15,9,43,35,15,29,3,11,

%T 3,11,15,17,25,53,31,9,7,23,15,27,15,29,7,59,15,5,21,69,55,21,21,5,

%U 159,3,81,9,69,131,33,15,135,29,13,131,9,3,33,29,25,11,15,29,37,33,15,11,7,23

%N Distance from 2^n to the next prime.

%C Essentially the same as A013597. - T. D. Noe, Jul 17 2007

%H T. D. Noe, <a href="/A092131/b092131.txt">Table of n, a(n) for n=1..5000</a>

%F a(n) = nextprime(2^n) - 2^n.

%F a(n) = A007920(A000079(n)). - _Michel Marcus_, Oct 19 2022

%e a(13)=17 because 2^13=8192 and the next prime is 8209=8192+17.

%t Join[{0},NextPrime[#]-#&/@(2^Range[2,80])] (* _Harvey P. Dale_, Jun 06 2012 *)

%o (PARI) for(i=1,100,x=2^i;print1(nextprime(x)-x,","))

%Y Cf. A013597.

%Y Equivalent sequence for previous prime: A013603.

%Y Cf. A000079, A007920.

%K easy,nonn

%O 1,3

%A Helmut Richter (richter(AT)lrz.de), Mar 30 2004

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)