Problems & Puzzles: Puzzles

Puzzle 1126 518!!   On March 9, 2023 Sebastián Martín Ruiz wrote: I have found this curio prime: 518!!+1. Q. Are more prime of this form after n=1,2 & 518?

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Contributions came from Michael Branicky, Gennady Gusev

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Michael and Gennady wrote:

This is OEIS sequence A080778 ("Double factorial primes; values for which n!!+1 is prime.").
Other terms are 0, 1, 2, 518, 33416, 37310, 52608, 123998, 220502.

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