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A090756 Numbers m of form 5k+1 such that binomial(m-1,(m-1)/5) == 1 (mod m). 1

%I #11 May 08 2022 08:48:03

%S 11,31,41,51,61,71,101,131,141,151,181,191,211,241,251,271,281,311,

%T 321,331,401,411,421,431,461,491,521,541,571,601,631,641,661,691,701,

%U 751,761,811,821,881,911,941,951,971,991,1021,1031,1051,1061,1091,1151,1171

%N Numbers m of form 5k+1 such that binomial(m-1,(m-1)/5) == 1 (mod m).

%C Contains primes of form 5k+1 and some composite of form 5k+1 such that (5k+1)/3 is prime.

%H Amiram Eldar, <a href="/A090756/b090756.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[5*Range[0, 250] + 1, Mod[Binomial[# - 1, (# - 1)/5] , #] == 1 &] (* _Amiram Eldar_, May 08 2022 *)

%Y Cf. A016861, A030430.

%K nonn

%O 1,1

%A _Benoit Cloitre_, Feb 07 2004

%E Offset corrected by _Amiram Eldar_, May 08 2022

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Last modified June 8 13:51 EDT 2024. Contains 373217 sequences. (Running on oeis4.)