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

Author

Felix Fröhlich, Jun 04 2021

Keywords

• nonn
• cons
• fini

Comments

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

Examples

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

Links

• OEIS Wiki, Mersenne primes (with a list of similar sequences)
• Mersenne.ca, Link to the record prime: M82589933

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).

Programs

Mathematica

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

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