A245594 Numbers k that divide 2^k + 10.

1, 2, 3, 9, 14, 161, 261, 5727, 12127, 16394, 20029238, 577738261, 2637324098, 45019843643, 54756012358, 142046769201, 2144325306742, 2247950127743, 34462584090334, 223385072880447

Offset: 1

Author

Derek Orr, Jul 27 2014

Keywords

• nonn
• hard

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

Examples

			3 divides 2^3 + 10 = 18. Thus 3 is a term of this sequence.
		

Links

• OEIS Wiki, 2^n mod n

Crossrefs

Cf. A128123, A246139.

Programs

Mathematica

Select[Range[10^5], Divisible[2^# + 10, #] &] (* Robert Price, Oct 12 2018 *)

PARI

for(n=1,10^9,if(Mod(2,n)^n==Mod(-10,n),print1(n,", ")))

Extensions

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