Problems & Puzzles: Puzzles

Puzzle 655 pq+rs, perfect square.

In one of the the Prime Curios! pages from Caldwell & Honaker, Jr. I found this curio:

Let p < q < r < s be consecutive primes. The least prime p for which pq + rs is a perfect square is 203233.

Q1 Find three more cases.

BTW see our puzzle 498.

Contributions came from Ryan Bailey & Emmanuel Vantieghem


Both weren't able to find more solutions than the reported one going up to 21940132061 and to 31*10^9, in their respectively search.



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