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A344984 Decimal expansion of Mersenne prime 2^82589933 - 1.

%I A344984 #31 Apr 05 2024 16:53:21
%S A344984 1,4,8,8,9,4,4,4,5,7,4,2,0,4,1,3,2,5,5,4,7,8,0,6,4,5,8,4,7,2,3,9,7,9,
%T A344984 1,6,6,0,3,0,2,6,2,7,3,9,9,2,7,9,5,3,2,4,1,8,5,2,7,1,2,8,9,4,2,5,2,1,
%U A344984 3,2,3,9,3,6,1,0,6,4,4,7,5,3,1,0,3,0,9
%N A344984 Decimal expansion of Mersenne prime 2^82589933 - 1.
%C A344984 This prime has 24862048 decimal digits and was found by Patrick Laroche with GIMPS on Dec 07 2018.
%H A344984 OEIS Wiki, <a href="/wiki/Mersenne_primes">Mersenne primes</a> (with a list of similar sequences)
%H A344984 Mersenne.ca, <a href="https://www.mersenne.ca/exponent/82589933">Link to the record prime:</a> M82589933
%e A344984 Prime starts with 14889444574204132554780645847...
%e A344984   and ends in ...66457823695074037951210325217902591
%t A344984 IntegerDigits[2^82589933 - 1][[;;100]] (* _Paolo Xausa_, Apr 05 2024 *)
%o A344984 (PARI) list(Nmax) = {localprec(Nmax+5); digits(10^frac(82589933*log(2)/log(10))\.1^Nmax)}
%o A344984 list(200) \\ print initial 200 digits
%o A344984 (Python)
%o A344984 f = open("M82589933.txt", "a")
%o A344984 f.write(str(pow(2,82589933)-1))
%o A344984 f.close() # _Karl-Heinz Hofmann_, Jun 05 2021
%o A344984 (Python)
%o A344984 from gmpy2 import mpz
%o A344984 def A344984(n): return int((mpz(2)**82589933-1)//mpz(10)**(49724095-n) % 10) # _Chai Wah Wu_, Jun 07 2021
%Y A344984 Cf. decimal expansions of Mersenne primes: A169681 (M127), A169685 (M521), A204063 (M607), A248931 (M1279), A248932 (M2203), A248933 (M2281), A248934 (M3217), A248935 (M4253), A248936 (M4423), A275977 (M9689), A275979 (M9941), A275980 (M11213), A275981 (M19937), A275982 (M21701), A275983 (M23209), A275984 (M44497), A089065 (M13466917), A089578 (M20996011), A117853 (M30402457), A193864 (M43112609), A267875 (M74207281), A344983 (M77232917).
%K A344984 nonn,cons,fini
%O A344984 24862048,2
%A A344984 _Felix Fröhlich_, Jun 04 2021