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A002242 Numbers k such that 45*2^k - 1 is prime.
(Formerly M0502 N0181)
0

%I M0502 N0181 #26 Dec 20 2021 20:59:18

%S 1,2,3,4,5,6,8,9,14,15,16,22,28,29,36,37,54,59,85,93,117,119,161,189,

%T 193,256,308,322,327,411,466,577,591,902,928,946,1162,1428,1708,1724,

%U 2063,2922,2951,3111,3402,4024,4485,5859,6124,8981,10628,19283,23522,26591,28914,33954,34743,76367,103546,103912,104452,125132,139883,174102,249065,306394,368553,528245,645542,818648

%N Numbers k such that 45*2^k - 1 is prime.

%D H. Riesel, Lucasian criteria for the primality of N=h.2^n-1, Math. Comp., 23 (1969), 869-875.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

%H Ray Ballinger and Wilfrid Keller, <a href="http://www.prothsearch.com/riesel1.html">List of primes k.2^n + 1 for k < 300</a>

%H Wilfrid Keller, <a href="http://www.prothsearch.com/riesel2.html">List of primes k.2^n - 1 for k < 300</a>

%H <a href="/index/Pri#riesel">Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime</a>

%H Kosmaj, <a href="http://www.15k.org/riesellist.html">Riesel list k<300</a>.

%o (PARI) v=[ ]; for(n=1,2000, if(isprime(45*2^n-1),v=concat(v,n),)); v

%K hard,nonn

%O 1,2

%A _N. J. A. Sloane_

%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008

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Last modified April 25 09:56 EDT 2024. Contains 371967 sequences. (Running on oeis4.)