Primorial prime
id:
primorial-prime-204-9084962
title:
Primorial prime
text:
In mathematics, a primorial prime is a prime number of the form pn# ± 1, where pn# is the primorial of pn (i.e. the product of the first n primes). Primality tests show that:
- pn# − 1 is prime for n = 2, 3, 5, 6, 13, 24,... (sequence A057704 in the OEIS).
- pn# + 1 is prime for n = 0, 1, 2, 3, 4, 5, 11,... (sequence A014545 in the OEIS). The first term of the second sequence is 0 because p0# = 1 is the empty product, and thus p0# + 1 = 2, which is prime. Similarly, the first term of the fir
brand slug:
wiki
category slug:
encyclopedia
description:
Prime number that is product of first n primes ± 1
original url:
https://en.wikipedia.org/wiki/Primorial_prime
date created:
2003-12-20T19:02:44Z
date modified:
2024-09-09T23:12:07Z
main entity:
{"identifier":"Q2085786","url":"https://www.wikidata.org/entity/Q2085786"}
image:
fields total:
13
integrity:
15