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A276970 Odd integers n such that 2^n == 2^9 (mod n). 7

%I #15 Oct 15 2018 11:44:18

%S 1,3,5,9,17,21,27,45,63,99,105,117,153,171,189,207,261,273,279,333,

%T 369,387,423,429,477,513,531,549,585,603,639,657,711,747,801,873,909,

%U 927,945,963,981,1017,1143,1179,1197,1209,1233,1251,1341,1359,1365,1413,1467,1503,1557,1611,1629,1665,1719,1737

%N Odd integers n such that 2^n == 2^9 (mod n).

%C Also, integers n such that 2^(n-9) == 1 (mod n).

%C Contains A208157 as a subsequence.

%C For all m, 2^A128123(m)-1 belongs to this sequence.

%H Seiichi Manyama, <a href="/A276970/b276970.txt">Table of n, a(n) for n = 1..10000</a>

%t m = 2^9; Join[Select[Range[1, m, 2], Divisible[2^# - m, #] &], Select[Range[m + 1, 10^3, 2], PowerMod[2, #, #] == m &]] (* _Robert Price_, Oct 15 2018 *)

%Y The odd terms of A015931.

%Y Odd integers n such that 2^n == 2^k (mod n): A176997 (k=1), A173572 (k=2), A276967 (k=3), A033984 (k=4), A276968 (k=5), A215610 (k=6), A276969 (k=7), A215611 (k=8), this sequence (k=9), A215612 (k=10), A276971 (k=11), A215613 (k=12).

%K nonn,easy

%O 1,2

%A _Max Alekseyev_, Sep 22 2016

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)