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