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A344983 Decimal expansion of Mersenne prime 2^77232917 - 1.

%I A344983 #26 Apr 05 2024 20:09:57
%S A344983 4,6,7,3,3,3,1,8,3,3,5,9,2,3,1,0,9,9,9,8,8,3,3,5,5,8,5,5,6,1,1,1,5,5,
%T A344983 2,1,2,5,1,3,2,1,1,0,2,8,1,7,7,1,4,4,9,5,7,9,8,5,8,2,3,3,8,5,9,3,5,6,
%U A344983 7,9,2,3,4,8,0,5,2,1,1,7,7,2,0,7,4,8,4
%N A344983 Decimal expansion of Mersenne prime 2^77232917 - 1.
%C A344983 This prime has 23249425 decimal digits and was found by Jon Pace with GIMPS on Dec 26 2017.
%H A344983 OEIS Wiki, <a href="/wiki/Mersenne_primes">Mersenne primes</a> (with a list of similar sequences)
%H A344983 Mersenne.ca, <a href="https://www.mersenne.ca/exponent/77232917">Link to the Mersenne prime:</a> M77232917
%e A344983 Prime starts with 46733318335923109998833558556...
%e A344983   and ends in ...14659217371136582730618069762179071
%t A344983 IntegerDigits[2^77232917 - 1][[;;100]] (* _Paolo Xausa_, Apr 05 2024 *)
%o A344983 (PARI) list(Nmax) = {localprec(Nmax+5); digits(10^frac(77232917*log(2)/log(10))\.1^Nmax)}
%o A344983 list(200) \\ print initial 200 digits
%o A344983 (Python)
%o A344983 f = open("M77232917.txt", "a")
%o A344983 f.write(str(pow(2, 77232917)-1))
%o A344983 f.close() # _Karl-Heinz Hofmann_, Jun 06 2021
%o A344983 (Python)
%o A344983 from gmpy2 import mpz
%o A344983 def A344983(n): return int((mpz(2)**77232917-1)//mpz(10)**(46498849-n) % 10) # _Chai Wah Wu_, Jun 07 2021
%Y A344983 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), A344984 (M82589933).
%K A344983 nonn,cons,fini
%O A344983 23249425,1
%A A344983 _Felix Fröhlich_, Jun 04 2021