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Revision History for A337859

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Showing entries 1-10 | older changes
A337859 k-1 for integers k>=4 such that 2^k == 4 (mod k*(k-1)*(k-2)*(k-3)/24).
(history; published version)
#16 by Peter Luschny at Mon Oct 12 00:30:59 EDT 2020
STATUS

reviewed

approved

#15 by Michel Marcus at Fri Oct 09 12:42:34 EDT 2020
STATUS

proposed

reviewed

#14 by Chai Wah Wu at Fri Oct 09 12:17:50 EDT 2020
STATUS

editing

proposed

#13 by Chai Wah Wu at Fri Oct 09 12:17:25 EDT 2020
DATA

3, 5, 37, 44101, 157081, 2031121, 7282801, 8122501, 18671941, 78550201, 208168381, 770810041, 2658625201, 2710529641, 5241663001, 14643783001, 18719308441, 56181482281, 73303609681, 74623302001, 110102454001, 140659081201

EXTENSIONS

a(18)-a(22) from Chai Wah Wu, Oct 09 2020

STATUS

approved

editing

#12 by N. J. A. Sloane at Mon Oct 05 00:05:03 EDT 2020
STATUS

proposed

approved

#11 by Hugo Pfoertner at Mon Sep 28 12:58:31 EDT 2020
STATUS

editing

proposed

#10 by Hugo Pfoertner at Mon Sep 28 12:56:59 EDT 2020
COMMENTS

It seems that all larger terms are of the form 60*k + 1, starting at a(4) = 44101 = 60*735 + 1. Further terms of this form after a(17) are 56181482281, 73303609681, 74623302001, 110102454001, 140659081201, 283268822761, 469078212241, 530106748081, 570417709681, 701030830501, 720023604301; all are prime. - Hugo Pfoertner, Sep 28 2020

STATUS

proposed

editing

#9 by Amiram Eldar at Sun Sep 27 03:35:09 EDT 2020
STATUS

editing

proposed

#8 by Amiram Eldar at Sun Sep 27 03:34:53 EDT 2020
MATHEMATICA

Select[Range[4, 10^7], (t = #*(# - 1)*(# - 2)*(# - 3)/24) == 1 || PowerMod[2, #, t] == 4 &] - 1 (* Amiram Eldar, Sep 27 2020 *)

PROG

(PARI) is(k) = k>=4 && Mod(2, k*(k-1)*(k-2)*(k-3)/24)^nk == 4

STATUS

proposed

editing

#7 by Amiram Eldar at Sun Sep 27 03:24:32 EDT 2020
STATUS

editing

proposed

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Last modified September 11 14:15 EDT 2024. Contains 375836 sequences. (Running on oeis4.)