Problems & Puzzles: Puzzles

Puzzle 1048. Follow up to Puzzle 486 Carlos Rivera poses the following follow up to puzzle 486. Q. Find couples of prime numbers (p, q) such that: p|Sq & q|Sp, where Sr=3+5+7+...+r.

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During the week 1-6 August, contribution came from Simon Cavegn

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Simon wrote:

For Sr = 3+5+7+...+r, when allowing p=q:
3|3 and 3|3
13|39 and 13|39
Other than that found nothing.

For Sr = 1+3+5+7+...+r found:
5443|10886 and 349|1814800
116507|249557994 and 73043|607352545
421913|74678601 and 38803|7147046964
496901|39752080 and 27827|9794603114

Searched p and q up to 370402633

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