Author Topic: A new and largest-known prime number has been discovered!  (Read 89 times)

GothicChessInventor

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Re: A new and largest-known prime number has been discovered!
« on: January 12, 2018, 09:35:59 am »
That's pretty awesome stuff - especially that you did the math and programming yourself (not just running GIMPS on your home PC).

Btw, what is the "799167/" in the 6th entry? Is that the first six digits of the very long coefficient? That prime is interesting because even in its collapsed form it still requires a lengthy expression.

Yeah that was another "show off" thing I did. The coefficient is so large, it could not fit on one line. So I generated a large Payam Number for Base-2, and generated a power of 2 prime using 799167535... as the coefficient. Basically is was 2 raised to the power of 1.2 million, times that large coefficient, minus 1.  I think it's the largest coefficient ever used to calculate a prime.

Payam Numbers are explained here: http://mathworld.wolfram.com/PayamNumber.html

That's why I did that stuff. I still own the record for the prime containing the greatest number of zeroes. If you think about it, the number is "mostly nothing."

:)

By the way, GIMPS stands for the Great Internet Mersenne Prime Search. That only works for 2^n - 1 = prime. None of my numbers take that form, so therefore, I could not have been using GIMPS.
« Last Edit: January 12, 2018, 09:39:40 am by GothicChessInventor »