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Belphegor's prime is the name for the number 1000000000000066600000000000001 = $$10^{30} + 666 \cdot 10^{14} + 1$$.[1] It is a palindromic prime, notable for its curious decimal expansion containing the beast number. Clifford Pickover named the number after a demon from the Judeo-Christian mythos, playing on 666's association with the devil in numerology.

Using exponents to represent digit repetition, the number could be written $$10^{13}6660^{13}1$$. (The presence of the number 13 — associated with bad luck in Western culture — further ties into the numerological theme.) Harvey Dubner calculated that the first few numbers of the form $$10^n6660^n1$$ have $$n = 0,\,13,\,42,\,506,\,608,\,2472,\,2623$$.

## Sources Edit

1. Clifford Pickover, Belphegor's Prime: 1000000000000066600000000000001!