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Belphegor Number

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A Belphegor number (also known as a Beelphegor number) is a palindromic number of the decimal form 1(0...)666(0...)1, with n zeros on each side of 666 for a nonnegative integer n. These numbers are named after the demon Belphegor (or Beelphegor), one of the seven princes of Hell and the demon of inventiveness (Pickover n.d.). The Belphegor number with parameter n is given by

B_n=10^(2n+4)+666·10^(n+1)+1,

giving the first few numbers for n=0, 1, ... as 16661, 1066601, 100666001, 10006660001, 1000066600001, ... (OEIS A232449).

A prime Belphegor number is known as a Belphegor prime.

See also

Belphegor Prime, Palindromic Number

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References

Pickover, C. "Belphegor's Prime: 1000000000000066600000000000001." n.d. https://sprott.physics.wisc.edu/pickover/pc/1000000000000066600000000000001.html.Sloane, N. J. A. Sequence A232449 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Belphegor Number

Cite this as:

Weisstein, Eric W. "Belphegor Number." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BelphegorNumber.html

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