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Strong irregular primes. A prime is strong irregular iff it is a Bernoulli irregular prime and an Euler irregular prime.
4

%I #9 Apr 03 2023 10:36:11

%S 67,101,149,263,307,311,353,379,433,461,463,491,541,577,587,619,677,

%T 691,751,761,773,811,821,877,887,929,971,1151,1229,1279,1283,1291,

%U 1307,1319,1381,1409,1429,1439,1523,1559,1621,1637,1663,1733,1759,1787,1831,1877

%N Strong irregular primes. A prime is strong irregular iff it is a Bernoulli irregular prime and an Euler irregular prime.

%H Bernd C. Kellner, <a href="http://dx.doi.org/10.1090/S0025-5718-06-01887-4"> On irregular prime power divisors of the Bernoulli numbers</a>, Math. Comp. 76 (2007) 405-441.

%H Peter Luschny, <a href="http://www.luschny.de/math/primes/irregular.html">Irregular Bernoulli and Euler Primes</a>.

%H The Prime Pages, <a href="https://t5k.org/top20/page.php?id=26">Irregular Primes</a>

%H The Prime Pages, <a href="https://t5k.org/top20/page.php?id=25">Euler Irregular</a>

%Y Cf. A000040, A000928, A120337.

%K hard,nonn

%O 1,1

%A _Peter Luschny_, Feb 27 2007