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 A245728 Numbers k that divide 2^k + 6. 3
 1, 2, 10, 1030, 10009593662, 13957196317, 55299492770, 3764656723270 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS No other terms below 10^15. Some larger terms: 2962089521722084981, 1376243703434217460265762. - Max Alekseyev, Sep 23 2016 LINKS OEIS Wiki, 2^n mod n EXAMPLE 2^10 + 6 = 1030 is divisible by 10. Thus 10 is a term of this sequence. MAPLE select(n -> 2 &^ n + 6 mod n = 0, [\$1..10^6]); # Robert Israel, Jul 30 2014 MATHEMATICA Select[Range[10^5], Divisible[2^# + 6, #] &] (* Robert Price, Oct 12 2018 *) PROG (PARI) for(n=1, 10^9, if(Mod(2, n)^n==Mod(-6, n), print1(n, ", "))) CROSSREFS Cf. A015910, A128122, A153972. Sequence in context: A137890 A074333 A008559 * A171485 A291882 A215650 Adjacent sequences:  A245725 A245726 A245727 * A245729 A245730 A245731 KEYWORD nonn,more,hard AUTHOR Derek Orr, Jul 30 2014 EXTENSIONS a(5) from Jason G. Wurtzel, Sep 25 2014 a(6)-a(8) from Max Alekseyev, Sep 23 2016 STATUS approved

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Last modified December 6 01:52 EST 2021. Contains 349558 sequences. (Running on oeis4.)