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%I #5 Apr 16 2024 13:43:44
%S 8,1,4,7,1,7,5,6,4,4,1,2,5,7,3,0,7,5,1,4,2,6,7,7,2,6,4,3,8,9,1,3,5,4,
%T 2,6,0,1,5,3,1,3,7,8,3,0,8,5,0,2,2,2,7,1,0,3,2,1,1,4,5,1,0,4,8,4,6,9,
%U 9,3,8,0,3,0,8,9,9,6,1,6,0,8,3,4,0,9,8,0,2,3
%N Decimal expansion of 2^1398269 - 1, the 35th Mersenne prime.
%C This prime has 420921 decimal digits and was discovered by Joel Armengaud in 1996.
%H GIMPS, <a href="https://www.mersenne.org/primes/">List of Known Mersenne Prime Numbers</a>.
%H OEIS Wiki, <a href="/wiki/Mersenne_primes">Mersenne primes</a> (with a list of similar sequences).
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Mersenne_prime">Mersenne prime</a>.
%e 81471756441257307514267726438913542601531378308502...
%t IntegerDigits[2^1398269 - 1][[;;100]]
%Y Cf. A000043 (exponents), A000668, A028335 (lengths).
%Y Cf. decimal expansion of Mersenne primes: see OEIS Wiki link.
%K nonn,cons,fini
%O 420921,1
%A _Paolo Xausa_, Apr 10 2024