
06202067
j
2013e.00394
Schiffman, Jay L.
Variations in Euclid$[n]$: The product of the first $n$ primes plus one.
Math. Spectr. 45, No. 1, 1420 (2012).
2012
Applied Probability Trust (APT) c/o University of Sheffield, School of Mathematics and Statistics (SoMaS), Sheffield
EN
F60
primes
Euclid's proof
twin prime pairs
product of the first $n$ primes
Summary: We undertake an examination encompassing variations on the product of the first $n$ primes plus one utilized in Euclid's classical proof that there are infinitely many primes. In this article, we seek to secure prime outputs from these generalizations and determine if we achieve a rich source for twin prime pairs.