The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A108692 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A108692

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

#18 by Harvey P. Dale at Mon Dec 07 16:59:48 EST 2020

STATUS

editing

approved

#17 by Harvey P. Dale at Mon Dec 07 16:59:45 EST 2020

MATHEMATICA

Table[Mod[4472988326827347533, p], {p, Prime[Range[70]]}] (* Harvey P. Dale, Dec 07 2020 *)

STATUS

approved

editing

#16 by Charles R Greathouse IV at Sun Jun 18 02:22:33 EDT 2017

LINKS

<a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).

Discussion

Sun Jun 18

02:22

OEIS Server: https://oeis.org/edit/global/2674

#15 by Charles R Greathouse IV at Sat Jun 13 00:51:51 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (1).

Discussion

Sat Jun 13

00:51

OEIS Server: https://oeis.org/edit/global/2439

#14 by Charles R Greathouse IV at Fri Jun 12 15:25:55 EDT 2015

LINKS

<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (1).

Discussion

Fri Jun 12

15:25

OEIS Server: https://oeis.org/edit/global/2436

#13 by Joerg Arndt at Sun Jul 21 13:34:12 EDT 2013

STATUS

editing

approved

#12 by Joerg Arndt at Sun Jul 21 13:33:37 EDT 2013

REFERENCES

References needed!

LINKS

Jacobson, 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).

Michael J. 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).

Lukes, 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).

STATUS

proposed

editing

#11 by Michel Marcus at Sun Jul 21 12:20:09 EDT 2013

STATUS

editing

proposed

#10 by Michel Marcus at Sun Jul 21 12:20:05 EDT 2013

LINKS

Jacobson, Michael John, <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).

STATUS

approved

editing

#9 by Bruno Berselli at Fri Jul 19 05:05:08 EDT 2013

STATUS

proposed

approved