A267875 -id:A267875 - cp's OEIS frontend

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

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, 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, 7, 9, 2, 3, 4, 8, 0, 5, 2, 1, 1, 7, 7, 2, 0, 7, 4, 8, 4

Offset: 23249425

Felix Fröhlich, Jun 04 2021

This prime has 23249425 decimal digits and was found by Jon Pace with GIMPS on Dec 26 2017.

			Prime starts with 46733318335923109998833558556...
  and ends in ...14659217371136582730618069762179071

OEIS Wiki, Mersenne primes (with a list of similar sequences)
Mersenne.ca, Link to the Mersenne prime: M77232917

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).

IntegerDigits[2^77232917 - 1][[;;100]] (* Paolo Xausa, Apr 05 2024 *)

list(Nmax) = {localprec(Nmax+5); digits(10^frac(77232917*log(2)/log(10))\.1^Nmax)}
list(200) \\ print initial 200 digits

f = open("M77232917.txt", "a")
f.write(str(pow(2, 77232917)-1))
f.close() # Karl-Heinz Hofmann, Jun 06 2021

from gmpy2 import mpz
def A344983(n): return int((mpz(2)**77232917-1)//mpz(10)**(46498849-n) % 10) # Chai Wah Wu, Jun 07 2021

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

Original entry on oeis.org

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

Felix Fröhlich, Jun 04 2021

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

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

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

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

list(Nmax) = {localprec(Nmax+5); digits(10^frac(82589933*log(2)/log(10))\.1^Nmax)}
list(200) \\ print initial 200 digits

f = open("M82589933.txt", "a")
f.write(str(pow(2,82589933)-1))
f.close() # Karl-Heinz Hofmann, Jun 05 2021

from gmpy2 import mpz
def A344984(n): return int((mpz(2)**82589933-1)//mpz(10)**(49724095-n) % 10) # Chai Wah Wu, Jun 07 2021

A268068 First occurrence of n in the decimal expansion of Mersenne prime 2^74207281 - 1.

Original entry on oeis.org

2, 8, 18, 1, 7, 20, 6, 5, 9, 22, 167, 240, 196, 156, 51, 143, 31, 241, 8, 74, 18, 73, 138, 71, 154, 217, 96, 119, 160, 21, 1, 166, 72, 63, 64, 28, 87, 4, 172, 57, 210, 7, 81, 56, 103, 65, 12, 68, 52, 374, 35, 239, 20, 90, 67, 66, 38, 178, 42, 29, 13, 15, 174, 44, 6

Offset: 0

Michael P. Tilley, Jan 25 2016

The largest known prime as of Jan 07 2016 is 2^74207281 - 1. The number itself contains 22,338,618 digits; all integers with fewer than 7 digits are contained within M74207281. The first number not contained in M74207281 is 1000003, so this sequence stops at a(1000002) = 1505496.

			The first few digits of M74207281 are 30037641808460618205298609835916605...
Starting with three as the first digit count the position of n from the beginning
  0 is the second digit,
  1 is the eighth digit,
  2 18,
  3 1,
  4 7,
  etc.

Michael P. Tilley, Table of n, a(n) for n = 0..9999
Brady Haran and Matt Parker, More details about the World's Biggest Prime (2016).
Michael P. Tilley, A larger file of the sequence for n= 0 - 1000002

Cf. A000043, A267875.

With[{m = IntegerDigits[2^74207281 - 1]}, Array[SequencePosition[m, IntegerDigits[#], 1][[1, 1]] &, 100, 0]] (* Paolo Xausa, Apr 07 2024 *)

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

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

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Author

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Comments

Examples

Links

Crossrefs

Programs

Mathematica

PARI

Python

Python

A268068 First occurrence of n in the decimal expansion of Mersenne prime 2^74207281 - 1.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica