A213162 Smallest prime p such that (k+1)*p^2-k are prime for k=1..n.

2, 199, 409, 17569, 981091, 3918251, 1329433951, 75902670689, 45048280453021

Offset

1,1

Comments

a(1..8) are the first terms correspondingly in A106483, A213078, A213079, A213107, A213125, A213159, A213161, A213334.

Links

Table of n, a(n) for n=1..9.

Prog

(PARI) a(n) = {my(p = 2); until (ok, ok = 1; for (k = 1, n, if (! isprime((k+1)*p^2-k), ok = 0; break; ); ); if (!ok, p = nextprime(p+1); )); return (p); }  \\ Michel Marcus, Apr 19 2013

Crossrefs

Sequence in context: A262650 A123100 A033147 * A124339 A089772 A280090

Adjacent sequences: A213159 A213160 A213161 * A213163 A213164 A213165

Keyword

nonn,more

Author

Zak Seidov, Jun 06 2012

Extensions

a(9) from Tyler Busby, Jan 11 2023

Status

approved