A258035 Smallest prime number p such that p + pssq(1), p + pssq(2), ... p + pssq(n) are all prime but p+pssq(n+1) is not, where pssq(n) is the partial sum of the square of the proper terms of the primorial (A189997(n)-1).

2, 37, 3, 7, 13, 277, 2617, 43, 2924263, 300999679, 631112173, 1368737917, 4428230508349

Offset

0,1

Links

Table of n, a(n) for n=0..12.

Carlos Rivera's Prime Puzzles, Prime Generating Non-Polynomials

Example

a(3) = 7 because 7 + 4, 7 + 40 and 7 + 940 are primes, but 7 + 45040 = 107 * 421 is not.

Crossrefs

Cf. A257466 (analog for partial primorial sum), A257467 (analog for primorial squared).

Sequence in context: A077772 A083150 A066146 * A178200 A049106 A346067

Adjacent sequences: A258032 A258033 A258034 * A258036 A258037 A258038

Keyword

hard,more,nonn

Author

Fred Schneider, May 16 2015

Status

approved