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A240941
Numbers k that divide 2^k + 7.
5
1, 3, 15, 75, 6308237, 871506915, 2465425275, 2937864075, 2948967789, 83313712623, 195392257275, 11126651718075, 45237726869109, 2920008144904215
OFFSET
1,2
COMMENTS
Some larger terms: 213736983815110866141, 23423890178454972202084722709155. - Max Alekseyev, Sep 23 2016
EXAMPLE
2^3 + 7 = 15 is divisible by 3. Thus 3 is a term of this sequence.
MATHEMATICA
k = 1; lst = {1, 3}; While[k < 2500000001, If[ PowerMod[2, k, k] + 7 == k, AppendTo[ lst, k]; Print[ k]]; k += 2]; lst (* Robert G. Wilson v, Aug 05 2014 *)
PROG
(PARI)
for(n=1, 10^9, if(Mod(2, n)^n==Mod(-7, n), print1(n, ", ")))
CROSSREFS
Sequence in context: A294340 A059838 A079164 * A047015 A322186 A037759
KEYWORD
nonn,more,hard
AUTHOR
Derek Orr, Aug 04 2014
EXTENSIONS
a(7)-a(9) from Robert G. Wilson v, Aug 05 2014
a(10)-a(14) from Max Alekseyev, Sep 23 2016
STATUS
approved