A275979 -id:A275979 - cp's OEIS frontend

A275977 Decimal expansion of 2^9689 - 1, the 21st Mersenne prime A000668(21).

4, 7, 8, 2, 2, 0, 2, 7, 8, 8, 0, 5, 4, 6, 1, 2, 0, 2, 9, 5, 2, 8, 3, 9, 2, 9, 8, 6, 6, 0, 0, 0, 5, 9, 0, 9, 7, 4, 1, 4, 9, 7, 1, 7, 2, 4, 0, 2, 2, 3, 6, 5, 0, 0, 8, 5, 1, 3, 3, 4, 5, 1, 0, 9, 9, 1, 8, 3, 7, 8, 9, 5, 0, 9, 4, 2, 6, 6, 2, 9, 7, 0, 2, 7, 8, 9, 2, 7, 6, 8, 6, 1, 1, 2, 7, 0, 7, 8, 9, 4, 5, 8, 6, 8, 2

Offset: 2917

Arkadiusz Wesolowski, Aug 15 2016

			47822027880546120295283929866000590974149717240223650085133451099183789...

Arkadiusz Wesolowski, Table of n, a(n) for n = 2917..5833
Wikipedia, Mersenne prime

Cf. A169684 = A000668(11), A169681 = A000668(12), A169685 = A000668(13), A204063 = A000668(14), A248931 = A000668(15), A248932 = A000688(16), A248933 = A000668(17), A248934 = A000668(18), A248935 = A000668(19), A248936 = A000668(20), A275979 = A000668(22), A275980 = A000668(23), A275981 = A000668(24), A275982 = A000668(25), A275983 = A000668(26), A275984 = A000668(27).

Magma
```
Reverse(Intseq(2^9689-1))[1..105];
```

First@RealDigits@N[2^9689 - 1, 100] (* G. C. Greubel, Aug 15 2016 *)
RealDigits[2^MersennePrimeExponent[21]-1,10,120][[1]] (* Harvey P. Dale, Aug 14 2025 *)

PARI
```
eval(Vec(Str(2^9689-1)))[1..105]
```

2^A000043(21) - 1.

A275980 Decimal expansion of 2^11213 - 1, the 23rd Mersenne prime A000668(23).

Original entry on oeis.org

2, 8, 1, 4, 1, 1, 2, 0, 1, 3, 6, 9, 7, 3, 7, 3, 1, 3, 3, 3, 9, 3, 1, 5, 2, 9, 7, 5, 8, 4, 2, 5, 8, 4, 1, 9, 1, 8, 1, 8, 6, 6, 2, 3, 8, 2, 0, 1, 3, 6, 0, 0, 7, 8, 7, 8, 9, 2, 4, 1, 9, 3, 4, 9, 3, 4, 5, 5, 1, 5, 1, 7, 6, 6, 8, 2, 2, 7, 6, 3, 1, 3, 8, 1, 0, 7, 1, 5, 0, 9, 4, 7, 4, 5, 6, 3, 3, 2, 5, 7, 0, 7, 4, 1, 9

Offset: 3376

Arkadiusz Wesolowski, Aug 15 2016

			28141120136973731333931529758425841918186623820136007878924193493455151...

Arkadiusz Wesolowski, Table of n, a(n) for n = 3376..6751
Wikipedia, Mersenne prime

Cf. A169684 = A000668(11), A169681 = A000668(12), A169685 = A000668(13), A204063 = A000668(14), A248931 = A000668(15), A248932 = A000688(16), A248933 = A000668(17), A248934 = A000668(18), A248935 = A000668(19), A248936 = A000668(20), A275977 = A000668(21), A275979 = A000668(22), A275981 = A000668(24), A275982 = A000668(25), A275983 = A000668(26), A275984 = A000668(27).

Magma
```
Reverse(Intseq(2^11213-1))[1..105];
```

First@RealDigits@N[2^11213 - 1, 100] (* G. C. Greubel, Aug 15 2016 *)

PARI
```
eval(Vec(Str(2^11213-1)))[1..105]
```

2^A000043(23) - 1.

A275981 Decimal expansion of 2^19937 - 1, the 24th Mersenne prime A000668(24).

Original entry on oeis.org

4, 3, 1, 5, 4, 2, 4, 7, 9, 7, 3, 8, 8, 1, 6, 2, 6, 4, 8, 0, 5, 5, 2, 3, 5, 5, 1, 6, 3, 3, 7, 9, 1, 9, 8, 3, 9, 0, 5, 3, 9, 3, 5, 0, 4, 3, 2, 2, 6, 7, 1, 1, 5, 0, 5, 1, 6, 5, 2, 5, 0, 5, 4, 1, 4, 0, 3, 3, 3, 0, 6, 8, 0, 1, 3, 7, 6, 5, 8, 0, 9, 1, 1, 3, 0, 4, 5, 1, 3, 6, 2, 9, 3, 1, 8, 5, 8, 4, 6, 6, 5, 5, 4, 5, 2

Offset: 6002

Arkadiusz Wesolowski, Aug 15 2016

			43154247973881626480552355163379198390539350432267115051652505414033306...

Arkadiusz Wesolowski, Table of n, a(n) for n = 6002..12003
Wikipedia, Mersenne prime

Cf. A169684 = A000668(11), A169681 = A000668(12), A169685 = A000668(13), A204063 = A000668(14), A248931 = A000668(15), A248932 = A000688(16), A248933 = A000668(17), A248934 = A000668(18), A248935 = A000668(19), A248936 = A000668(20), A275977 = A000668(21), A275979 = A000668(22), A275980 = A000668(23), A275982 = A000668(25), A275983 = A000668(26), A275984 = A000668(27).

Magma
```
Reverse(Intseq(2^19937-1))[1..105];
```

First@RealDigits@N[2^19937 - 1, 100] (* G. C. Greubel, Aug 15 2016 *)

PARI
```
eval(Vec(Str(2^19937-1)))[1..105]
```

2^A000043(24) - 1.

A275982 Decimal expansion of 2^21701 - 1, the 25th Mersenne prime A000668(25).

Original entry on oeis.org

4, 4, 8, 6, 7, 9, 1, 6, 6, 1, 1, 9, 0, 4, 3, 3, 3, 4, 7, 9, 4, 9, 5, 1, 4, 1, 0, 3, 6, 1, 5, 9, 1, 7, 7, 8, 7, 2, 7, 2, 0, 9, 0, 2, 3, 7, 2, 9, 3, 8, 8, 6, 1, 3, 0, 1, 0, 3, 6, 4, 8, 0, 4, 4, 7, 5, 1, 2, 7, 8, 5, 6, 0, 9, 1, 5, 8, 0, 5, 3, 6, 3, 7, 1, 6, 2, 0, 1, 8, 3, 9, 5, 9, 2, 0, 1, 8, 3, 1, 0, 8, 6, 8, 9, 1

Offset: 6533

Arkadiusz Wesolowski, Aug 15 2016

			44867916611904333479495141036159177872720902372938861301036480447512785...

Arkadiusz Wesolowski, Table of n, a(n) for n = 6533..13065
Wikipedia, Mersenne prime

Cf. A169684 = A000668(11), A169681 = A000668(12), A169685 = A000668(13), A204063 = A000668(14), A248931 = A000668(15), A248932 = A000688(16), A248933 = A000668(17), A248934 = A000668(18), A248935 = A000668(19), A248936 = A000668(20), A275977 = A000668(21), A275979 = A000668(22), A275980 = A000668(23), A275981 = A000668(24), A275983 = A000668(26), A275984 = A000668(27).

Magma
```
Reverse(Intseq(2^21701-1))[1..105];
```

First@RealDigits@N[2^21701 - 1, 100] (* G. C. Greubel, Aug 15 2016 *)

PARI
```
eval(Vec(Str(2^21701-1)))[1..105]
```

2^A000043(25) - 1.

A275983 Decimal expansion of 2^23209 - 1, the 26th Mersenne prime A000668(26).

Original entry on oeis.org

4, 0, 2, 8, 7, 4, 1, 1, 5, 7, 7, 8, 9, 8, 8, 7, 7, 8, 1, 8, 1, 8, 7, 3, 3, 2, 9, 0, 7, 1, 5, 9, 1, 7, 6, 7, 7, 2, 2, 4, 3, 8, 5, 0, 6, 8, 9, 1, 6, 2, 2, 4, 2, 0, 0, 4, 1, 0, 2, 9, 9, 6, 3, 5, 7, 8, 6, 9, 4, 5, 9, 5, 2, 4, 0, 8, 8, 7, 4, 0, 0, 8, 6, 7, 6, 3, 9, 8, 6, 1, 4, 6, 1, 4, 6, 6, 5, 3, 7, 1, 0, 3, 8, 3, 3

Offset: 6987

Arkadiusz Wesolowski, Aug 15 2016

			40287411577898877818187332907159176772243850689162242004102996357869459...

Arkadiusz Wesolowski, Table of n, a(n) for n = 6987..13973
Wikipedia, Mersenne prime

Cf. A169684 = A000668(11), A169681 = A000668(12), A169685 = A000668(13), A204063 = A000668(14), A248931 = A000668(15), A248932 = A000688(16), A248933 = A000668(17), A248934 = A000668(18), A248935 = A000668(19), A248936 = A000668(20), A275977 = A000668(21), A275979 = A000668(22), A275980 = A000668(23), A275981 = A000668(24), A275982 = A000668(25), A275984 = A000668(27).

Magma
```
Reverse(Intseq(2^23209-1))[1..105];
```

First@RealDigits@N[2^23209 - 1, 100] (* G. C. Greubel, Aug 15 2016 *)

PARI
```
eval(Vec(Str(2^23209-1)))[1..105]
```

2^A000043(26) - 1.

A275984 Decimal expansion of 2^44497 - 1, the 27th Mersenne prime A000668(27).

Original entry on oeis.org

8, 5, 4, 5, 0, 9, 8, 2, 4, 3, 0, 3, 6, 3, 3, 8, 0, 3, 1, 9, 3, 3, 0, 0, 7, 0, 5, 3, 1, 8, 4, 0, 3, 0, 3, 6, 5, 0, 9, 9, 0, 1, 5, 9, 1, 3, 0, 4, 0, 2, 1, 0, 5, 8, 3, 4, 3, 2, 6, 9, 2, 5, 8, 2, 8, 2, 2, 9, 0, 0, 6, 4, 7, 8, 2, 1, 6, 7, 6, 3, 5, 8, 5, 6, 2, 0, 0, 5, 0, 0, 0, 1, 4, 4, 5, 7, 6, 4, 5, 8, 6, 1, 4, 8, 1

Offset: 13395

Arkadiusz Wesolowski, Aug 15 2016

			85450982430363380319330070531840303650990159130402105834326925828229006...

Arkadiusz Wesolowski, Table of n, a(n) for n = 13395..26789
Wikipedia, Mersenne prime

Cf. A169684 = A000668(11), A169681 = A000668(12), A169685 = A000668(13), A204063 = A000668(14), A248931 = A000668(15), A248932 = A000688(16), A248933 = A000668(17), A248934 = A000668(18), A248935 = A000668(19), A248936 = A000668(20), A275977 = A000668(21), A275979 = A000668(22), A275980 = A000668(23), A275981 = A000668(24), A275982 = A000668(25), A275983 = A000668(26).

Magma
```
Reverse(Intseq(2^44497-1))[1..105];
```

First@RealDigits@N[2^44497 - 1, 100] (* G. C. Greubel, Aug 15 2016 *)

PARI
```
eval(Vec(Str(2^44497-1)))[1..105]
```

2^A000043(27) - 1.

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

Original entry on oeis.org

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

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).

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

cp's OEIS Frontend

A275977 Decimal expansion of 2^9689 - 1, the 21st Mersenne prime A000668(21).

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A275980 Decimal expansion of 2^11213 - 1, the 23rd Mersenne prime A000668(23).

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A275981 Decimal expansion of 2^19937 - 1, the 24th Mersenne prime A000668(24).

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A275982 Decimal expansion of 2^21701 - 1, the 25th Mersenne prime A000668(25).

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A275983 Decimal expansion of 2^23209 - 1, the 26th Mersenne prime A000668(26).

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Magma

Mathematica

PARI

Formula

A275984 Decimal expansion of 2^44497 - 1, the 27th Mersenne prime A000668(27).

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Programs

Magma

Mathematica

PARI

Formula

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

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