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Numbers k such that 2^(2*k)-(2*k-1) is prime.
1

%I #16 May 16 2023 10:39:46

%S 0,1,2,3,8,9,27,29,50,60,252,651,1617,7374,8051,11391,17328,32382,

%T 35433

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

%C a(18) > 30000, if it exists. - _Amiram Eldar_, Dec 01 2021

%t Select[Range[0,2000],PrimeQ[2^(2#)-(2#-1)]&] _Harvey P. Dale_, May 20 2012

%o (PARI) for(x=0,1000,if(isprime(2^(2*x)-(2*x-1)),print1(x,",")))

%Y Cf. A100102.

%K nonn,more

%O 1,3

%A _Jorge Coveiro_, Jul 25 2006

%E a(14)-a(17) from _Amiram Eldar_, Dec 01 2021

%E a(18)-a(19) from _Michael S. Branicky_, May 15 2023