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Prime powers (A025475) representable as (p+q)/2, where p and q are distinct prime powers, in two or more ways.
1

%I #7 May 08 2013 23:36:02

%S 781370209,59015782001929,109012413691801,185341023228001,

%T 275502533796361,315952509152809,613721000732449,1579642847367841,

%U 3182047597748881,5927491050020401,13602074755852489,22706626517726761

%N Prime powers (A025475) representable as (p+q)/2, where p and q are distinct prime powers, in two or more ways.

%C Prime powers p such that there are x and y such that p+x, p-x, p+y, p-y are four distinct prime powers.

%C First 12 terms are squares of prime numbers.

%C Conjecture: the sequence is infinite.

%Y Cf. A025475, A225388.

%K nonn,hard,more

%O 1,1

%A _Alex Ratushnyak_, May 05 2013