A280717 - cp's OEIS frontend

A280717 Given a prime number p, let b = -p and c = p^2. Assuming that the polynomial P(x) := x^2+b*x+c takes at least one prime value for some positive integer x we define the next term of the sequence to be the maximal element in the set S := {P(x) : x is an integer, 0 < x < p, and P(x) is a prime number}. The first term of the present sequence is p=3.

n	a(n)
1	3
2	7
3	43
4	1693
5	2864557
6	8205572225569
7	67331415548799635795058613
8	4533519519805137360312930667312809111343819483374997
9	20552799236454203238557860425684304712780972342513397945121797314302926172950212696842909492430773376197

[3, 7, 43, 1693, 2864557, 8205572225569, 67331415548799635795058613, 4533519519805137360312930667312809111343819483374997, 20552799236454203238557860425684304712780972342513397945121797314302926172950212696842909492430773376197]

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