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Primes which do not divide any repunit number R(p) = (10^p - 1)/9 with p prime.
1

%I #9 Sep 08 2022 08:46:10

%S 2,5,7,13,17,19,23,29,31,43,47,59,61,67,71,73,89,97,101,103,109,113,

%T 127,131,137,139,149,151,157,163,167,179,181,191,193,197,199,211,223,

%U 229,233,241,251,257,263,269,277,281,283,293,307,311,313,331,337,349,353

%N Primes which do not divide any repunit number R(p) = (10^p - 1)/9 with p prime.

%C If a prime p has period n, then p divides 10^m - 1 for all m divisible by n. Therefore the sequence together with 3 is the complement in the primes of A072859.

%o (Magma) [2] cat [p: p in PrimesInInterval(5, 353) | not IsPrime(Modorder(10, p))];

%Y Cf. A072859.

%K nonn,base

%O 1,1

%A _Arkadiusz Wesolowski_, Oct 25 2014