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A269798
Numbers b such that b is not a power of 2 and both 1093 and 3511 are base-b Wieferich primes.
1
429327, 858654, 1717308, 3434616, 6869232, 13738464, 14583415, 27476928, 29166830, 31995179, 46455089, 54953856, 57420033, 58333660, 58473815, 60227705, 63990358, 66863995, 71828271, 72766215, 84301671, 86290359, 91406901, 92910178, 94508343, 97720353
OFFSET
1,1
COMMENTS
Intersection of A057716 and A247208.
All terms of A247214, except 2, appear in the sequence.
EXAMPLE
The sequence w of primes p such that 429327^(p-1) == 1 (mod p^2) starts 1093, 3511, 2652379, 20793169. Since both 1093 and 3511 are terms of w, 429327 is in this sequence.
PROG
(PARI) my(p=1093, q=3511); for(n=2, 1e9, if(Mod(n, p^2)^(p-1)==1 && Mod(n, q^2)^(q-1)==1, my(x=2); while(x < n, x=2*x); if(x!=n, print1(n, ", "))))
CROSSREFS
KEYWORD
nonn
AUTHOR
Felix Fröhlich, Mar 05 2016
STATUS
approved