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 A362056 Prime numbers of the form prime(k)! - prime(k!). 0
 3, 107, 4951, 39916141, 355687428046967 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS No other terms < prime(22)! - prime(22!) (using A062439). Problem suggested by Carlos Rivera as a follow-on to Puzzle 1127 (see links). LINKS Table of n, a(n) for n=1..5. Carlos Rivera, Puzzle 1127. Prime(11!)+Prime(11)!, The Prime Puzzles and Problems Connection. Carlos Rivera, Puzzle 1128. Prime(n)!-Prime(n!), The Prime Puzzles and Problems Connection. FORMULA A261997(k) = A000142(A000040(k)) - A000040(A000142(k)) is in A000040. EXAMPLE prime(2)! - prime(2!) = 3 is prime. prime(3)! - prime(3!) = 107 is prime. prime(4)! - prime(4!) = 4951 is prime. prime(5)! - prime(5!) = 39916141 is prime. prime(7)! - prime(7!) = 355687428046967 is prime. CROSSREFS Cf. A000040, A000142, A062439. Prime terms in A261997. Sequence in context: A003705 A146214 A261997 * A061308 A302060 A336438 Adjacent sequences: A362053 A362054 A362055 * A362057 A362058 A362059 KEYWORD nonn,hard,more AUTHOR Michael S. Branicky, Apr 06 2023 STATUS approved

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Last modified October 4 09:31 EDT 2023. Contains 365873 sequences. (Running on oeis4.)