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Decimal expansion of Mersenne prime 2^136279841 - 1.
1

%I #21 Oct 25 2024 09:22:31

%S 8,8,1,6,9,4,3,2,7,5,0,3,8,3,3,2,6,5,5,5,3,9,3,9,1,0,0,3,7,8,1,1,7,3,

%T 5,8,9,7,1,2,0,7,3,5,4,5,0,9,0,6,6,0,4,1,0,6,7,1,5,6,3,7,6,4,1,2,4,2,

%U 2,6,3,0,6,9,4,7,5,6,8,4,1,4,4,1,7,2,5

%N Decimal expansion of Mersenne prime 2^136279841 - 1.

%C 2^136279841 - 1 is the largest presently known prime. It was discovered on October 12, 2024 by Luke Durant and the GIMPS project. It has 41024320 decimal digits.

%H Mersenne.org, <a href="https://www.mersenne.org/primes/?press=M136279841">Mersenne Prime Number discovery - 2^136279841-1 is Prime!</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Largest_known_prime_number">Largest known prime number</a>.

%e Prime starts with 88169432750383326555393... and ends in ...5555076706219486871551.

%o (Python)

%o from gmpy2 import mpz

%o def A377303(n): return int((mpz(2)**136279841-1)//mpz(10)**(82048639-n) % 10)

%K nonn,cons,fini

%O 41024320,1

%A _Chai Wah Wu_, Oct 23 2024