A258035 - OEIS

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).

%I #20 Jul 09 2015 20:08:57

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

%T 4428230508349

%N 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).

%H Carlos Rivera's Prime Puzzles, <a href="http://www.primepuzzles.net/puzzles/puzz_782.htm">Prime Generating Non-Polynomials</a>

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

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

%K hard,more,nonn

%O 0,1

%A _Fred Schneider_, May 16 2015