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- Title
A note on square totients.
- Authors
Freiberg, Tristan; Pomerance, Carl
- Abstract
A well-known conjecture asserts that there are infinitely many primes p for which p - 1 is a perfect square. We obtain upper and lower bounds of matching order on the number of pairs of distinct primes p, q ≤ x for which (p - 1)(q - 1) is a perfect square.
- Subjects
LOGICAL prediction; INFINITY (Mathematics); MATHEMATICAL bounds; PRIME numbers; EULER equations; MATHEMATICAL analysis
- Publication
International Journal of Number Theory, 2015, Vol 11, Issue 8, p2265
- ISSN
1793-0421
- Publication type
Article
- DOI
10.1142/S179304211550102X