A208883 Numbers n such that n == 1 (mod 4), n != 2, and |x^2+x-n| is 1 or a prime for all x in {1,...,sqrt(n)}.

5, 13, 17, 21, 29, 37, 53, 77, 101, 173, 197, 293, 437, 677

Offset

1,1

Links

Table of n, a(n) for n=1..14.

D. Byeon, and H. M. Stark, On the finiteness of certain Rabinowitsch polynomials, Journal of Number Theory, vol. 94, no. 1, pp. 219-221, 2002.

R. A. Mollin, The Rabinowitsch-Mollin-Williams Theorem Revisited, International Journal of Mathematics and Mathematical Sciences, 2009

R. A. Mollin, and H. C. Williams, On prime valued polynomials and class numbers of real quadratic fields, Nagoya Mathematical Journal, vol. 112, pp. 143-151, 1988.

Shaoji Xu, On Euler Polynomials and Rabinowitsch Polynomials, International Journal of Algebra, Vol. 6, 2012, no. 3, 123 - 134.

Crossrefs

Sequence in context: A213340 A014539 A249034 * A182078 A074278 A087895

Adjacent sequences: A208880 A208881 A208882 * A208884 A208885 A208886

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Mar 02 2012

Status

approved