A Belphegor prime (also known as a Beelphegor prime or a beastly palindromic prime) is a prime Belphegor
number, i.e., a palindromic prime of the
decimal form , with an equal number of zeros
on each side of 666 (Ondrejka 2001, p. 32). The first few Belphegor primes are
the Belphegor numbers
with ,
13, 42, 506, 608, 2472, 2623, 28291, 181298, ... (OEIS A232448).
Shifting this sequence by one gives 1, 14, 43, 507, 609, ... (OEIS A156166).
The original named prime is
which Pickover (n.d.) called "the" Belphegor prime after one of the Seven Princes of Hell who is the demon of inventiveness. This prime has a number of numerological properties, including a central beast number 666 which is surrounded on each side by 13 (a number traditionally associated with bad luck) zeros and an overall decimal number length of 31-which is 13 backwards.