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

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, 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, 3, 2, 3, 9, 3, 6, 1, 0, 6, 4, 4, 7, 5, 3, 1, 0, 3, 0, 9

Offset

24862048,2

Comments

This prime has 24862048 decimal digits and was found by Patrick Laroche with GIMPS on Dec 07 2018.

Links

Table of n, a(n) for n=24862048..24862134.

OEIS Wiki, Mersenne primes (with a list of similar sequences)

Mersenne.ca, Link to the record prime: M82589933

Example

Prime starts with 14889444574204132554780645847...
  and ends in ...66457823695074037951210325217902591

Mathematica

IntegerDigits[2^82589933 - 1][[;; 100]] (* Paolo Xausa, Apr 05 2024 *)

Prog

(PARI) list(Nmax) = {localprec(Nmax+5); digits(10^frac(82589933*log(2)/log(10))\.1^Nmax)}
list(200) \\ print initial 200 digits
(Python)
f = open("M82589933.txt", "a")
f.write(str(pow(2, 82589933)-1))
f.close() # Karl-Heinz Hofmann, Jun 05 2021
(Python)
from gmpy2 import mpz
def A344984(n): return int((mpz(2)**82589933-1)//mpz(10)**(49724095-n) % 10) # Chai Wah Wu, Jun 07 2021

Crossrefs

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).

Sequence in context: A029679 A304651 A187768 * A335212 A141284 A272812

Adjacent sequences: A344981 A344982 A344983 * A344985 A344986 A344987

Keyword

nonn,cons,fini,changed

Author

Felix Fröhlich, Jun 04 2021

Status

approved