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A152309 Primes p such that the multiplicative order of 2 modulo p is (p-1)/9. 2

%I #9 Sep 08 2022 08:45:39

%S 397,7867,10243,10333,12853,13789,14149,14293,14563,15643,17659,18379,

%T 18541,21277,21997,23059,23203,26731,27739,29179,29683,31771,34147,

%U 35461,35803,36541,37747,39979,40213,40429,41131,41491,44029,44101

%N Primes p such that the multiplicative order of 2 modulo p is (p-1)/9.

%H Klaus Brockhaus, <a href="/A152309/b152309.txt">Table of n, a(n) for n=1..1000</a>

%o (Magma) [ p: p in PrimesUpTo(44101) | r eq 1 and Order(R!2) eq q where q,r is Quotrem(p,9) where R is ResidueClassRing(p) ];

%o (PARI) Vec(select(p->((p!=2) && (znorder(Mod(2, p)) == (p-1)/9)), primes(10000))) \\ _Michel Marcus_, Feb 09 2015

%Y Cf. A115591, A001133, A001134, A001135, A001136.

%K nonn

%O 1,1

%A _Klaus Brockhaus_, Dec 02 2008

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Last modified April 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)