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A245594 Numbers n such that n divides 2^n + 10. 5
1, 2, 3, 9, 14, 161, 261, 5727, 12127, 16394, 20029238, 577738261, 2637324098, 45019843643, 54756012358, 142046769201, 2144325306742, 2247950127743, 34462584090334, 223385072880447 (list; graph; refs; listen; history; text; internal format)
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

LINKS

Table of n, a(n) for n=1..20.

OEIS Wiki, 2^n mod n

EXAMPLE

3 divides 2^3 + 10 = 18. Thus 3 is a member 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

Cf. A128123.

Sequence in context: A026307 A139816 A083303 * A078610 A108825 A109663

Adjacent sequences:  A245591 A245592 A245593 * A245595 A245596 A245597

KEYWORD

nonn,hard

AUTHOR

Derek Orr, Jul 27 2014

EXTENSIONS

a(13)-a(20) from Max Alekseyev, Oct 01 2016

STATUS

approved

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Last modified January 20 12:32 EST 2019. Contains 319330 sequences. (Running on oeis4.)