Agoh's conjecture: its generalizations, its analogues

Abstract

In this paper we formulate two generalizations of Agoh's conjecture. We also formulate conjectures involving congruence modulo primes about hyperbolic secant, hyperbolic tangent, Nörlund numbers, as well as about coefficients of expansions in powers of other analytic functions. We formulate a thesis about combinatorial objects that do not produce fake primes.

9 pages

References in corpus (2)

• Giuga Numbers and the arithmetic derivative
• Generalizing Giuga's conjecture