Belphegor's prime number

Belphegor's prime number 1 000 000 000 000 066 600 000 000 000 001 is a prime number palindrome in the decimal system , i.e. a prime number whose digits, read from the front and back, result in the same number. It was named by Clifford A. Pickover after Belphegor , the demon of ingenious inventions. The number has some interesting number- symbolic properties: In the middle is the number 666 , also called the number of the beast. It is surrounded on both sides by 13 consecutive zeros and enclosed by ones. It has a total of 31 digits, the mirror number of the 13th.

Belphegor's prime number is the thirteenth element of the Belphegor number sequence and the second prime number in the sequence:

${\displaystyle B_{n}=10^{2n+4}+666\cdot 10^{n+1}+1}$

${\displaystyle B_{0}=1\,666\,1}$

${\displaystyle B_{13}=1\,\underbrace {0\,000\,000\,000\,000} _{13}\,666\,\underbrace {0\,000\,000\,000\,000} _{13}\,1}$

Web links

• Numberphile: The Most Evil Number on YouTube , October 31, 2018, accessed October 31, 2018.

Individual evidence

1. ↑ Eric W. Weisstein : Belphegor Prime . In: MathWorld (English).
2. ↑ Follow A232449 in OEIS
3. ↑ Follow A232448 in OEIS