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A014127 Primes p such that p^2 divides 3^(p-1) - 1. 12
11, 1006003 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Sometimes called Mirimanoff primes. - Matthijs Coster, Jun 30 2008

Dorais and Klyve proved that there are no further terms up to 9.7*10^14.

REFERENCES

Alf van der Poorten, Notes on Fermat's Last Theorem, Wiley, 1996, p. 21.

LINKS

W. Keller, J. Richstein, Solutions of the congruence a^(p-1) == 1 (mod p^r), Math. Comp. 74 (2005), 927-936.

F. G. Dorais and D. Klyve, A Wieferich prime search up to  p < 6.7*10^15, J. Integer Seq. 14 (2011), Art. 11.9.2, 1-14.

C. K. Caldwell, Fermat Quotient, The Prime Glossary.

Planet Math, Wieferich Primes

CROSSREFS

Cf. A001220, A039951, A096082.

Sequence in context: A076171 A090102 A112854 * A049192 A156670 A116061

Adjacent sequences:  A014124 A014125 A014126 * A014128 A014129 A014130

KEYWORD

nonn,hard,bref,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Edited by Max Alekseyev (maxale(AT)gmail.com), Oct 20 2010

Updated by Max Alekseyev (maxale(AT)gmail.com), Jan 29 2012

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.