login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A245583 Wieferich prime candidates: primes of the form A242139(n)+1 also having the form {m*(2^rs - 1)/(2^r - 1)}+1. 0
293, 439, 547, 1093, 1171, 2341, 3511 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
292 = 100100100, 438 = 110110110, 546 = 001000100010, 1092 = 010001000100, 1170 = 010010010010, 2340 = 100100100100, 3510 = 110110110110.
According to Dobson, all primes where m is of the form 2*(4^(r/2)-1)/3 cannot be Wieferich primes.
Triples (m, r, s) producing the terms through the formula in definition are (4, 3, 3), (6, 3, 3), (2, 4, 3), (4, 4, 3), (2, 3, 4), (4, 3, 4), (6, 3, 4).
LINKS
S. Agou, Irréductibilité des polynômes f(X^p^r-aX) sur un corps fini F_p^s, J. reine angew. Mat. 292 (1977), 191-195.
J. B. Dobson, A note on the two known Wieferich primes (Archive of the site from August 28 2011)
CROSSREFS
Sequence in context: A155140 A248210 A142284 * A252409 A251682 A251675
KEYWORD
nonn,more
AUTHOR
Felix Fröhlich, Jul 26 2014
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 21 11:00 EDT 2024. Contains 373544 sequences. (Running on oeis4.)