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A240942 Numbers n such that n divides 2^n + 9. 3
1, 11, 121, 323, 117283, 432091, 4132384531, 15516834659, 15941429747, 98953554491, 3272831195051, 7362974489179, 26306805687881, 33869035218491, 280980898827691 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

No other terms below 10^15. Some larger terms: 53496121130110340001650284048539458491, 136243118444105327963550175410279542214992801356720577. - Max Alekseyev, Sep 29 2016

LINKS

Table of n, a(n) for n=1..15.

OEIS Wiki, 2^n mod n

EXAMPLE

2^11 + 9 = 2057 is divisible by 11. Thus 11 is a member of this sequence.

MAPLE

select(n -> 9 + 2 &^ n mod n = 0, [$1..10^6]); # Robert Israel, Aug 04 2014

PROG

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

CROSSREFS

Cf. A051447, A245594, A245319, A245318, A244673.

Sequence in context: A015958 A014951 A223223 * A216131 A338784 A223392

Adjacent sequences:  A240939 A240940 A240941 * A240943 A240944 A240945

KEYWORD

nonn,more,hard

AUTHOR

Derek Orr, Aug 04 2014

EXTENSIONS

a(7)-a(10) from Lars Blomberg, Nov 05 2014

a(11)-a(15) from Max Alekseyev, Sep 29 2016

STATUS

approved

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Last modified May 6 19:52 EDT 2021. Contains 343586 sequences. (Running on oeis4.)