id: 06202067
dt: j
an: 2013e.00394
au: Schiffman, Jay L.
ti: Variations in Euclid$[n]$: The product of the first $n$ primes plus one.
so: Math. Spectr. 45, No. 1, 14-20 (2012).
py: 2012
pu: Applied Probability Trust (APT) c/o University of Sheffield, School of
Mathematics and Statistics (SoMaS), Sheffield
la: EN
cc: F60
ut: primes; Euclid’s proof; twin prime pairs; product of the first $n$ primes
ci:
li:
ab: 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.
rv: