Editor-in-Chief: Nathanson, Melvyn B. / Nešetril, Jaroslav / Pomerance, Carl
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1Division of Mathematics, Science and Engineering, University of South Carolina Sumter, Sumter, SC, USA
2Division of Mathematics, Science and Engineering, University of South Carolina Sumter, Sumter, SC, USA
Citation Information: Integers. Volume 12, Issue 1, Pages 83–96, ISSN (Online) 1867-0652, ISSN (Print) 1867-0652, DOI: 10.1515/integ.2011.086, January 2012
Publication History:
We study a relation between factorials and their additive
analog, the triangular numbers. We show that there is a positive
integer 
k such that 
n!=2 k T where 
T is a product of
triangular numbers. We discuss the primality of 
T1 and the
primality of 
|T-p| where 
p is either the smallest prime greater
than 
T or the greatest prime less than 
T.
Keywords.: Triangular Numbers; Prime Numbers; Factorial; Large Primes; Wilson's Theorem
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