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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). 0
2, 37, 3, 7, 13, 277, 2617, 43, 2924263, 300999679, 631112173, 1368737917, 4428230508349 (list; graph; refs; listen; history; text; internal format)
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 A290803

Adjacent sequences:  A258032 A258033 A258034 * A258036 A258037 A258038

KEYWORD

hard,more,nonn

AUTHOR

Fred Schneider, May 16 2015

STATUS

approved

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Last modified February 18 15:30 EST 2020. Contains 332019 sequences. (Running on oeis4.)