This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A362056 #17 Apr 15 2023 10:08:45 %S A362056 3,107,4951,39916141,355687428046967 %N A362056 Prime numbers of the form prime(k)! - prime(k!). %C A362056 No other terms < prime(22)! - prime(22!) (using A062439). %C A362056 Problem suggested by _Carlos Rivera_ as a follow-on to Puzzle 1127 (see links). %H A362056 Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_1127.htm">Puzzle 1127. Prime(11!)+Prime(11)!</a>, The Prime Puzzles and Problems Connection. %H A362056 Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_1128.htm">Puzzle 1128. Prime(n)!-Prime(n!)</a>, The Prime Puzzles and Problems Connection. %F A362056 A261997(k) = A000142(A000040(k)) - A000040(A000142(k)) is in A000040. %e A362056 prime(2)! - prime(2!) = 3 is prime. %e A362056 prime(3)! - prime(3!) = 107 is prime. %e A362056 prime(4)! - prime(4!) = 4951 is prime. %e A362056 prime(5)! - prime(5!) = 39916141 is prime. %e A362056 prime(7)! - prime(7!) = 355687428046967 is prime. %Y A362056 Cf. A000040, A000142, A062439. %Y A362056 Prime terms in A261997. %K A362056 nonn,hard,more %O A362056 1,1 %A A362056 _Michael S. Branicky_, Apr 06 2023