A108692 It is known that 4472988326827347533 is a quadratic non-residue for all primes between 3 and 283; sequence gives 4472988326827347533 mod prime(n).
1, 2, 3, 3, 8, 11, 7, 15, 22, 27, 3, 19, 6, 28, 19, 2, 11, 23, 51, 63, 51, 69, 74, 61, 19, 2, 57, 103, 18, 34, 111, 69, 46, 56, 131, 48, 139, 137, 163, 59, 69, 140, 62, 183, 119, 42, 31, 91, 6, 52, 139, 190, 207, 134, 151, 20, 236, 142, 18, 91, 32, 260, 142, 171, 117, 123, 47, 286
Offset: 1
Links
- Michael John Jacobson, Computational techniques in quadratic fields, Doctor of Science in Computer Science Thesis, University of Manitoba, 1995, 147 pages, (see Table 6.14, p. 133).
- Michael John Jacobson Jr. and Hugh C. Williams, New quadratic polynomials with high densities of prime values, Math. Comp. 72 (2003), 499-519 (see Table 4.3, p. 510).
- Richard F. Lukes, A very fast electronic number sieve, Doctor of Philosophy in Computer Science Thesis, University of Manitoba, 1995, 253 pages, (see Table 6.8, p. 140).
- Dror Speiser, Posting to NMBRTHRY, Jun 18 2005
- Index entries for linear recurrences with constant coefficients, signature (1).
Crossrefs
Cf. A094849.
Programs
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Mathematica
Table[Mod[4472988326827347533,p],{p,Prime[Range[70]]}] (* Harvey P. Dale, Dec 07 2020 *) -
PARI
a(n)=4472988326827347533%prime(n) \\ Charles R Greathouse IV, Jul 03 2013
Comments