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Date: 23-1-2021
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The largest known prime numbers are Mersenne primes, the largest of these known as of September 2013 bing , which has a whopping decimal digits.
As of Sep. 2013, the largest known probable primes are the Wagstaff primes and , both found by R. Propper in Sep. 2013 and which have and decimal digits, respectively. Other large known probable primes are the "dual Sierpinski numbers" (Moore 2009) given by and , which have and decimal digits, respectively.
A prime with at least 1000 decimal digits is (or used to be) known as a titanic prime.
REFERENCES:
Lifchitz, H. and Lifchitz, R. "PRP Records: Probable Primes Top 10000."
Moore, P. "Welcome to 'Five or Bust!' " Oct. 8, 2009. https://www.mersenneforum.org/showthread.php?t=10754.
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