cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A108692 It is known that 4472988326827347533 is a quadratic non-residue for all primes between 3 and 283; sequence gives 4472988326827347533 mod prime(n).

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%I A108692 #18 Dec 07 2020 16:59:48
%S A108692 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,
%T A108692 57,103,18,34,111,69,46,56,131,48,139,137,163,59,69,140,62,183,119,42,
%U A108692 31,91,6,52,139,190,207,134,151,20,236,142,18,91,32,260,142,171,117,123,47,286
%N A108692 It is known that 4472988326827347533 is a quadratic non-residue for all primes between 3 and 283; sequence gives 4472988326827347533 mod prime(n).
%C A108692 Suggested by a posting to the Number Theory mailing list by Dror Speiser.
%C A108692 a(20509) = a(22206) = a(4498151) = 0; all other values are positive. a(n) = 4472988326827347533 for n > 106704271535495739, while a(106704271535495739) = 16. - _Charles R Greathouse IV_, Jul 03 2013
%H A108692 Michael John Jacobson, <a href="http://hdl.handle.net/1993/18862">Computational techniques in quadratic fields</a>, Doctor of Science in Computer Science Thesis, University of Manitoba, 1995, 147 pages, (see Table 6.14, p. 133).
%H A108692 Michael John Jacobson Jr. and Hugh C. Williams, <a href="http://www.ams.org/journals/mcom/2003-72-241/S0025-5718-02-01418-7/">New quadratic polynomials with high densities of prime values</a>, Math. Comp. 72 (2003), 499-519 (see Table 4.3, p. 510).
%H A108692 Richard F. Lukes, <a href="http://hdl.handle.net/1993/12210">A very fast electronic number sieve</a>, Doctor of Philosophy in Computer Science Thesis, University of Manitoba, 1995, 253 pages, (see Table 6.8, p. 140).
%H A108692 Dror Speiser, <a href="https://listserv.nodak.edu/cgi-bin/wa.exe?A2=NMBRTHRY;9ed1eff2.0506">Posting to NMBRTHRY</a>, Jun 18 2005
%H A108692 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).
%t A108692 Table[Mod[4472988326827347533,p],{p,Prime[Range[70]]}] (* _Harvey P. Dale_, Dec 07 2020 *)
%o A108692 (PARI) a(n)=4472988326827347533%prime(n) \\ _Charles R Greathouse IV_, Jul 03 2013
%Y A108692 Cf. A094849.
%K A108692 nonn,easy
%O A108692 1,2
%A A108692 _N. J. A. Sloane_, Jun 20 2005