Found 45th Mersenne prime?
Mathematicians from the distributed GIMPS primer search project announced that one of the client machines involved in the calculations sent a file with a new Mersenne prime number to the server! This is an important event for the mathematical community, because until now only 44 such numbers were known, the latter was found exactly two years ago.
Mersenne numbers are of the form 2 n -1, where n is a positive integer. The sequence of Mersenne numbers starts like this:
1, 3, 7, 15, 31, 63, 127, 255, 511, 1023, ... (sequence A000225 in OEIS).
Mersenne primes are the largest primes known to science. The previous world record belonged to the number 2 32582657 -1, which has 9.808.358 ranks. On the magnitude of the new number is not reported. His test has been going on for a week on two supercomputers, the processes will end on September 12 and 16.
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For the finest number in the world of Mersenne, which will exceed 10 million bits, there is a cash prize of $ 100 thousand.
via Scientific American
Mersenne numbers are of the form 2 n -1, where n is a positive integer. The sequence of Mersenne numbers starts like this:
1, 3, 7, 15, 31, 63, 127, 255, 511, 1023, ... (sequence A000225 in OEIS).
Mersenne primes are the largest primes known to science. The previous world record belonged to the number 2 32582657 -1, which has 9.808.358 ranks. On the magnitude of the new number is not reported. His test has been going on for a week on two supercomputers, the processes will end on September 12 and 16.
')
For the finest number in the world of Mersenne, which will exceed 10 million bits, there is a cash prize of $ 100 thousand.
via Scientific American
Source: https://habr.com/ru/post/38581/
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