A213334 Primes p such that (k+1)*p^2 - k is prime for k=1..8.

75902670689, 84005465699, 188745495049, 220260667439, 314987199911, 1970532645509, 2368000666921, 3702971171899, 3886185845431, 4117783215701, 4166366916251, 6213125459729, 7768065083591, 7946042954849, 8788172678669, 11387502711311, 14643617926211

Offset

1,1

Comments

The square of each term is congruent to 1 (mod 9240).

Note that for each p, (k+1)*p^2 - k (k=1..8) gives 8 primes in arithmetic progression with difference d = p^2 - 1.

Links

Table of n, a(n) for n=1..17.

Crossrefs

Subsequence of A213161. Cf. A106483, A213078, A213079, A213107, A213125, A213159.

Sequence in context: A186095 A218397 A103617 * A211417 A287246 A022252

Adjacent sequences: A213331 A213332 A213333 * A213335 A213336 A213337

Keyword

nonn,more

Author

Zak Seidov, Jun 08 2012

Extensions

a(6)-a(17) from Tyler Busby, Jan 09 2023

Status

approved