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Numbers k such that 153*2^k+1 is prime.
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%I #26 Mar 12 2020 20:55:30

%S 1,2,13,16,17,26,37,62,73,97,112,286,313,317,1001,1237,1565,2665,5753,

%T 9232,13202,14665,15226,16633,50237,82205,122821,181093,402206,801973,

%U 877553,1214002,2079401,2697173

%N Numbers k such that 153*2^k+1 is prime.

%H Ray Ballinger, <a href="http://www.prothsearch.com/index.html">Proth Search Page</a>

%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>

%t Select[Range[1000], PrimeQ[153*2^# + 1] & ] (* _Robert Price_, Dec 18 2018 *)

%o (PARI) is(n)=ispseudoprime(153*2^n+1) \\ _Charles R Greathouse IV_, Jun 13 2017

%K nonn,hard,more

%O 1,2

%A _N. J. A. Sloane_.

%E a(28)-a(32) from the Ray Ballinger and Wilfrid Keller link by _Robert Price_, Dec 18 2018

%E a(33)-a(34) from _Jeppe Stig Nielsen_, Mar 12 2020