OFFSET
2,1
COMMENTS
This is a subsequence of A273756 which considers all odd numbers (2n+1) instead of only prime(n) as coefficients of the linear term.
All terms are necessarily prime, since this is necessary and sufficient to get a prime for x = 0.
The respective minima (= number of consecutive primes for x = 0, 1, 2, ...) are given in A273597.
It has been pointed out by Don Reble that the prime k-tuple conjecture predicts infinitely long sequences of primes of the given form, therefore we consider the "local" maxima, for q below some appropriate (large) limit: see sequences A273756 & A273770 for further details. - M. F. Hasler, Feb 17 2020
LINKS
Eric Weisstein's World of Mathematics, Prime-Generating Polynomial.
FORMULA
a(n) = A273756((prime(n) - 1)/2). - M. F. Hasler, Feb 17 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
M. F. Hasler, May 26 2016
EXTENSIONS
STATUS
approved