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 A234366 Primes of the form q(p) + 1, where p is a prime and q(.) is the strict partition function (A000009). 3
 2, 3, 13, 19, 257, 761, 2591, 32993, 70489, 173683, 570079, 3725411, 5010689, 132535703, 150473569, 406072423, 3328423937, 26114971541, 519999315041, 4743946406977, 704890732521793, 445433800804233383, 712827068077888961 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Though the primes in this sequence are very rare, by the conjecture in A234514 there should be infinitely many such primes. LINKS Zhi-Wei Sun, Table of n, a(n) for n = 1..120 FORMULA a(n) = A000009(A234530(n)) + 1. EXAMPLE a(1) = 2 since 2 = q(2) + 1 with 2 prime. a(2) = 3 since 3 = q(3) + 1 with 3 prime. a(3) = 13 since 13 = q(11) + 1 with 11 and 13 both prime. MATHEMATICA p[n_]:=A234530(n) Table[PartitionsQ[p[n]]+1, {n, 1, 35}] CROSSREFS Cf. A000009, A000040, A234514, A234530 Sequence in context: A302485 A135118 A274905 * A084958 A249573 A295111 Adjacent sequences: A234363 A234364 A234365 * A234367 A234368 A234369 KEYWORD nonn AUTHOR Zhi-Wei Sun, Dec 28 2013 STATUS approved

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Last modified June 8 13:50 EDT 2023. Contains 363165 sequences. (Running on oeis4.)