{"id":55751,"date":"2025-08-22T13:13:38","date_gmt":"2025-08-22T18:13:38","guid":{"rendered":"https:\/\/www.wlbott.com\/?p=55751"},"modified":"2025-08-22T17:21:37","modified_gmt":"2025-08-22T22:21:37","slug":"1-0000000000000-666-0000000000000-1","status":"publish","type":"post","link":"https:\/\/www.wlbott.com\/?p=55751","title":{"rendered":"1-0000000000000-666-0000000000000-1"},"content":{"rendered":"\n

Gentle People, if you are like the staff at WLBOTT<\/strong>, you probably spend several hours a day memorizing large prime numbers.

Last night we came across a doozy….<\/p>\n\n\n\n

1000000000000066600000000000001<\/strong>

1-0000000000000-666-0000000000000-1<\/strong>

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One, followed by 13 zeros, followed by 666, followed by 13 zeros, followed by a one.<\/p>\n\n\n\n

The number is also a palindromic prime (same forward and back).  The prime is called Belphegor’s Prime<\/strong>, named after one of the seven Christian demons in Hell. It has its own symbol – the upside down Greek letter pi.

Sounds like a blott-worthy topic. My peeps, if you’d like to create epic poems, haiku, slam poetry, abstract pinatas, gluten-free recipes, OSHA \/ ISO standards, etc, around Belphegor’s Prime, send them to seriousInquiriesOnly@WLBOTT.com<\/a>.<\/p>\n\n\n\n

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Belphegor’s Prime<\/strong>
Belphegor’s prime is the palindromic prime number 1000000000000066600000000000001<\/strong> (1030 + 666 \u00d7 1014 + 1), a number which reads the same both backwards and forwards and is only divisible by itself and one.<\/p>\n\n\n\n

History<\/strong>
Belphegor’s prime was first discovered by Harvey Dubner<\/strong>, a mathematician known for his discoveries of many large prime numbers and prime number forms. For Belphegor’s prime in particular, he discovered the prime while determining a sequence of primes it belongs to.<\/p>\n\n\n\n

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The name “Belphegor’s prime” was coined by author Clifford A. Pickover<\/strong> in 2012. <\/p>\n\n\n\n

(Sushi Never Sleeps<\/em><\/strong> on Amazon<\/a>)<\/p>\n<\/div><\/div>\n\n\n\n

Belphegor <\/strong>is one of the Seven Princes of Hell; specifically, “the demon of inventiveness”. The number itself contains superstitious elements that have given it its name: the number 666 at the heart of Belphegor’s prime is widely associated as being the number of the beast, used in symbolism to represent one of the creatures in the apocalypse or, more commonly, the devil. This number is surrounded on either side by thirteen zeroes and is 31 digits in length (thirteen reversed), with thirteen itself long regarded superstitiously as an unlucky number in Western culture.<\/p>\n\n\n\n

Mathematics<\/strong>
A Belphegor number is a palindromic number<\/strong> in the form of<\/p>\n\n\n\n

1 (0…) 666 (0…) 1<\/p>\n\n\n\n

The sequence of the first four Belphegor numbers is:<\/p>\n\n\n\n

16661, 1066601, 100666001, 10006660001, \u2026<\/p>\n\n\n\n

Dubner noticed that 16661 is a prime number. By adding zeroes directly on both sides of the 666, Dubner found more palindromic prime numbers, including the Belphegor prime, which is second in the sequence. This sequence eventually became the Belphegor primes, named after the number. The number of zeroes on each side of the 666 in the first few Belphegor primes is:<\/p>\n\n\n\n

0, 13, 42, 506, 608, 2472, 2623, 28291, 181298, \u2026<\/p>\n\n\n\n

Belphegor’s prime contains 13 zeroes on either side of the central 666, and thus corresponds to the second number in this sequence.<\/p>\nWikipedia<\/a><\/cite><\/blockquote>\n\n\n\n

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The Bard Elder JimZim<\/h3>\n\n\n\n
Limerick <\/strong>
Belphegor is known as the demon of Sloth
He is fond of calculating primes while wearing a black loincloth
His devotees are ignorant of numbers prime
They skipped math class all the time
To worship at the altar of Belphegor while dressed in Goth

Haiku <\/strong>
Belphegor loves math
He studies all prime numbers 
But he\u2019s known for Sloth<\/pre>\n\n\n\n
The Seven Demons of the Deadly Sins<\/h5>\n\n\n\n