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A245594
Numbers k that divide 2^k + 10.
7
1, 2, 3, 9, 14, 161, 261, 5727, 12127, 16394, 20029238, 577738261, 2637324098, 45019843643, 54756012358, 142046769201, 2144325306742, 2247950127743, 34462584090334, 223385072880447
OFFSET
1,2
COMMENTS
No other terms below 10^15. Some larger terms: 58431276133663538, 107614684491896498, 246944720684027923581501, 2^260+5 (79 digits), 581*p (112 digits) where p is the largest prime factor of 2^580+5. - Max Alekseyev, Oct 01 2016
EXAMPLE
3 divides 2^3 + 10 = 18. Thus 3 is a term of this sequence.
MATHEMATICA
Select[Range[10^5], Divisible[2^# + 10, #] &] (* Robert Price, Oct 12 2018 *)
PROG
(PARI) for(n=1, 10^9, if(Mod(2, n)^n==Mod(-10, n), print1(n, ", ")))
CROSSREFS
Sequence in context: A139816 A368567 A083303 * A078610 A108825 A109663
KEYWORD
nonn,hard
AUTHOR
Derek Orr, Jul 27 2014
EXTENSIONS
a(13)-a(20) from Max Alekseyev, Oct 01 2016
STATUS
approved