

A225389


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


1



781370209, 59015782001929, 109012413691801, 185341023228001, 275502533796361, 315952509152809, 613721000732449, 1579642847367841, 3182047597748881, 5927491050020401, 13602074755852489, 22706626517726761
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OFFSET

1,1


COMMENTS

Prime powers p such that there are x and y such that p+x, px, p+y, py are four distinct prime powers.
First 12 terms are squares of prime numbers.
Conjecture: the sequence is infinite.


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CROSSREFS



KEYWORD

nonn,hard,more


AUTHOR



STATUS

approved



