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A050921 Smallest prime of form n*2^m+1, m >= 0, or 0 if no prime exists. 12

%I #9 Jun 01 2013 17:43:30

%S 2,3,7,5,11,7,29,17,19,11,23,13,53,29,31,17,137,19,1217,41,43,23,47,

%T 97,101,53,109,29,59,31,7937,257,67,137,71,37,149,1217,79,41,83,43,

%U 173,89,181,47

%N Smallest prime of form n*2^m+1, m >= 0, or 0 if no prime exists.

%C Primes arising from A040076 (or 0 if no such prime exists).

%C Or: Starting with x=n+1, the first prime created by iterating the map x-> 2*x-1. - _Kevin L. Schwartz_ and _Christian N. K. Anderson_, May 13 2013

%H R. J. Mathar, <a href="/A050921/b050921.txt">Table of n, a(n) for n = 1..382</a>

%p A050921 := proc(n)

%p for m from 0 do

%p if isprime(n*2^m+1) then

%p return n*2^m+1 ;

%p end if;

%p end do;

%p end proc; # _R. J. Mathar_, Jun 01 2013

%t Do[m = 0; While[ !PrimeQ[n*2^m + 1], m++ ]; Print[n*2^m + 1], {n, 1, 47} ]

%Y Cf. A040076, A034694, A038699.

%K nonn,easy,nice

%O 1,1

%A _N. J. A. Sloane_, Dec 30 1999

%E The next term (47*2^583 + 1) is too large to show.

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Last modified April 24 08:48 EDT 2024. Contains 371930 sequences. (Running on oeis4.)