A289379 Primes p that set a new record for the size of the smallest prime q such that q^(p-1) == 1 (mod p^2), i.e., such that p is a base-q Wieferich prime.

2, 3, 7, 17, 23, 37, 67, 89, 139, 163, 269, 379, 439, 491, 691, 701, 877, 1009, 1327, 1427, 1669, 2687, 4973, 6367, 7603, 9277, 10531, 11047, 12071, 18313, 29389, 34471, 42703, 42961, 57731, 77773, 87299, 105517, 113957, 118369, 151303, 192631, 205603, 232091

Offset

1,1

Comments

For n > 1, primes p such that A125636(i) reaches record values, where i is the index of p in A000040.

Links

Table of n, a(n) for n=1..44.

Prog

(PARI) minprimb(n) = forprime(q=1, , if(Mod(q, n^2)^(n-1)==1, return(q)))
my(r=0); forprime(p=1, , if(minprimb(p) > r, print1(p, ", "); r=minprimb(p)))

Crossrefs

Cf. A000040, A125636, A287147.

Sequence in context: A235627 A019335 A113425 * A245590 A110480 A338175

Adjacent sequences: A289376 A289377 A289378 * A289380 A289381 A289382

Keyword

nonn

Author

Felix Fröhlich, Sep 02 2017

Extensions

a(37)-a(44) from Giovanni Resta, Sep 02 2017

Status

approved