cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-8 of 8 results.

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

Original entry on oeis.org

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

Views

Author

Arkadiusz Wesolowski, Aug 15 2016

Keywords

Examples

			47822027880546120295283929866000590974149717240223650085133451099183789...

Links

Crossrefs

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).

Programs

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

Formula

2^A000043(21) - 1.

A275979 Decimal expansion of 2^9941 - 1, the 22nd Mersenne prime A000668(22).

Original entry on oeis.org

3, 4, 6, 0, 8, 8, 2, 8, 2, 4, 9, 0, 8, 5, 1, 2, 1, 5, 2, 4, 2, 9, 6, 0, 3, 9, 5, 7, 6, 7, 4, 1, 3, 3, 1, 6, 7, 2, 2, 6, 2, 8, 6, 6, 8, 9, 0, 0, 2, 3, 8, 5, 4, 7, 7, 9, 0, 4, 8, 9, 2, 8, 3, 4, 4, 5, 0, 0, 6, 2, 2, 0, 8, 0, 9, 8, 3, 4, 1, 1, 4, 4, 6, 4, 3, 6, 4, 3, 7, 5, 5, 4, 4, 1, 5, 3, 7, 0, 7, 5, 3, 3, 6, 6, 4
Offset: 2993

Views

Author

Arkadiusz Wesolowski, Aug 15 2016

Keywords

Examples

			34608828249085121524296039576741331672262866890023854779048928344500622...

Links

Crossrefs

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), A275980 = A000668(23), A275981 = A000668(24), A275982 = A000668(25), A275983 = A000668(26), A275984 = A000668(27).

Programs

  • Magma
    Reverse(Intseq(2^9941-1))[1..105];
  • Mathematica
    First@RealDigits@N[2^9941 - 1, 100] (* G. C. Greubel, Aug 15 2016 *)
  • PARI
    eval(Vec(Str(2^9941-1)))[1..105]

Formula

2^A000043(22) - 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

Views

Author

Arkadiusz Wesolowski, Aug 15 2016

Keywords

Examples

			28141120136973731333931529758425841918186623820136007878924193493455151...

Links

Crossrefs

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).

Programs

  • Magma
    Reverse(Intseq(2^11213-1))[1..105];
  • Mathematica
    First@RealDigits@N[2^11213 - 1, 100] (* G. C. Greubel, Aug 15 2016 *)
  • PARI
    eval(Vec(Str(2^11213-1)))[1..105]

Formula

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

Views

Author

Arkadiusz Wesolowski, Aug 15 2016

Keywords

Examples

			43154247973881626480552355163379198390539350432267115051652505414033306...

Links

Crossrefs

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).

Programs

  • Magma
    Reverse(Intseq(2^19937-1))[1..105];
  • Mathematica
    First@RealDigits@N[2^19937 - 1, 100] (* G. C. Greubel, Aug 15 2016 *)
  • PARI
    eval(Vec(Str(2^19937-1)))[1..105]

Formula

2^A000043(24) - 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

Views

Author

Arkadiusz Wesolowski, Aug 15 2016

Keywords

Examples

			40287411577898877818187332907159176772243850689162242004102996357869459...

Links

Crossrefs

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).

Programs

  • Magma
    Reverse(Intseq(2^23209-1))[1..105];
  • Mathematica
    First@RealDigits@N[2^23209 - 1, 100] (* G. C. Greubel, Aug 15 2016 *)
  • PARI
    eval(Vec(Str(2^23209-1)))[1..105]

Formula

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

Views

Author

Arkadiusz Wesolowski, Aug 15 2016

Keywords

Examples

			85450982430363380319330070531840303650990159130402105834326925828229006...

Links

Crossrefs

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).

Programs

  • Magma
    Reverse(Intseq(2^44497-1))[1..105];
  • Mathematica
    First@RealDigits@N[2^44497 - 1, 100] (* G. C. Greubel, Aug 15 2016 *)
  • PARI
    eval(Vec(Str(2^44497-1)))[1..105]

Formula

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

Views

Author

Felix Fröhlich, Jun 04 2021

Keywords

Comments

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

Examples

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

Links

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), A344984 (M82589933).

Programs

  • Mathematica
    IntegerDigits[2^77232917 - 1][[;;100]] (* Paolo Xausa, Apr 05 2024 *)
  • PARI
    list(Nmax) = {localprec(Nmax+5); digits(10^frac(77232917*log(2)/log(10))\.1^Nmax)}
list(200) \\ print initial 200 digits
  • Python
    f = open("M77232917.txt", "a")
f.write(str(pow(2, 77232917)-1))
f.close() # Karl-Heinz Hofmann, Jun 06 2021
  • Python
    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

Views

Author

Felix Fröhlich, Jun 04 2021

Keywords

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

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
Showing 1-8 of 8 results.

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