Modular class primes in the Sundaram sieve

ABSTRACT

The purpose of this paper is to consider analogues of the twin-prime conjecture in various classes within modular rings.

KEYWORDS:

• Primes
• sieves
• classes
• modular rings
• conjectures

AMS CLASSIFICATIONS:

• 11A41
• 11A07

Acknowledgments

The first author acknowledges fruitful discussions with Dr Calvin T. Long when he was professor of Mathematics at Washington State University, Pullman and Dr J. Ronald Gupton when he was professor of Mathematics at Austin Peay State University in Clarksville, Tennessee.

Disclosure statement

No potential conflict of interest was reported by the authors.