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Least number k such that 3^(2^i) + k is prime for i = 0,1,..,n-1.
5

%I #16 Jun 17 2013 06:32:52

%S 2,2,2,2,58,440,18248,2024098,4263330280,22836544460,40728071843930

%N Least number k such that 3^(2^i) + k is prime for i = 0,1,..,n-1.

%C Generalized Fermat primes of the form b^(2^i) + k.

%e a(5) = 58 because k = 58 is the minimal k such that N = 3^(2^i) + k is prime for i = 0, 1, 2 ,3 ,4; N = 61, 67, 139, 6619, 43046779. But 3^(2^5) + 58 is divisible by 37 and three other primes.

%Y Cf. A129613, A225560.

%K nonn,more

%O 1,1

%A _Robin Garcia_, Jun 02 2013

%E a(11) from _Giovanni Resta_, Jun 17 2013