|
| |
|
|
A141350
|
|
Overpseudoprimes of base 3.
|
|
4
| | |
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| If h_3(n) is the multiplicative order of 3 modulo n, r_3(n) is the number of cyclotomic cosets of 3 modulo n then, by the definition, n is an overpseudoprime of base 3 if h_3(n)*r_3(n)+1=n. These numbers are in A020229.
In particular, if n is squarefree such that its prime factorization is n=p_1*...*p_k, then n is overpseudoprime of base 3 iff h_3(p_1)=...=h_3(p_k).
|
|
|
REFERENCES
| V. Shevelev, Overpseudoprimes, Mersenne Numbers and Wieferich Primes, arxiv.org/abs/0806.3412
|
|
|
CROSSREFS
| Cf. A141232 A137576 A001262 A020229 A062117 A006694.
Sequence in context: A014749 A048950 A020229 * A190877 A203959 A120353
Adjacent sequences: A141347 A141348 A141349 * A141351 A141352 A141353
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jun 27 2008, corrected Sep 07 2008
|
| |
|
|
