Curious Facts
Page 23

1000000000000066600000000000001 is known as Belphegor’s prime because it is a palendromic prime number which contains 666 surrounded by thirteen zeros on either side.

In demonology Belphegor is one of the seven princes of Hell. He seduces people with ingenious inventions to make them rich.

It is not known whether or not there are an infinite number of palendromic primes.

In accordance with the divisibility rule for 11, every palendromic number with an even number of digits is divisible by 11. This means that 11 is the only palendromic prime with an even number of digits.

At the time of writing (October 2013) the largest known palendromic prime is 2013 is 10^{314727}  8×10^{157363}  1. Discovered by Darren Bedwell in January 2013, it has 314727 digits. ^{1}

1,782¹² + 1,841¹² = 1,922¹² is a mathematical joke which appears in an episode of the Simpsons called Homer^{3}. When computed on a pocket calculator this sum appears to contradict Fermat’s Last Theorem. Calculators with a greater number of digits will show that this sum is only approximately correct. ^{2}

In May 2012 the US Government General Accountability Office issued a report about reports about reports, recommending the preparation of a report about the report about reports about reports. The report won an Ig Nobel prize for literature.^{3}
1.
The Prime Pages. Prime numbers research records and resources
2.
The Simpsons and Their Mathematical Secrets by Simon Singh. Bloomsbury, Oct 2013
3.
"Actions Needed to Evaluate the Impact of Efforts to Estimate Costs of Reports and Studies," US Government General Accountability Office report GAO12480R, May 10, 2012.
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