Fermat Quotients for Composite Moduli
โ Scribed by Takashi Agoh; Karl Dilcher; Ladislav Skula
- Book ID
- 102601610
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 363 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
โฆ Synopsis
Analogues of Fermat quotients for a composite modulus m 2 are investigated, with special emphasis on various congruences. In particular, the numbers m for which a ,(m) #1 (mod m 2 ), where gcd(a, m)=1, (``Wieferich numbers with base a'') are completely characterized in terms of the Wieferich primes with base a.
๐ SIMILAR VOLUMES
Let a be an integer { &1 and not a square. Let P a (x) be the number of primes up to x for which a is a primitive root. Goldfeld and Stephens proved that the average value of P a (x) is about a constant multiple of xรln x. Carmichael extended the definition of primitive roots to that of primitive \*