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 1-5 of 5 results.

A104843 Primes from merging of 2 successive digits in decimal expansion of e.

Original entry on oeis.org

71, 59, 23, 53, 47, 71, 13, 97, 47, 59, 67, 53, 47, 59, 71, 13, 17, 19, 59, 17, 41, 13, 59, 29, 43, 29, 29, 59, 73, 13, 23, 79, 43, 23, 29, 53, 31, 19, 19, 11, 73, 83, 41, 79, 89, 41, 67, 47, 61, 47, 41, 11, 53, 37, 23, 43, 37, 71, 53, 17, 61, 83, 61, 13, 31, 13, 83, 29, 97
Offset: 1

Views

Author

Andrew G. West (WestA(AT)wlu.edu), Mar 27 2005

Keywords

Comments

Scan decimal expansion of e from left to right, recording any 2-digit primes seen. Overlaps are allowed in all the sequences in this family. - N. J. A. Sloane, Feb 05 2012
Leading zeros are not permitted, so each term is 2 digits in length. - Harvey P. Dale, Oct 23 2011

Links

Crossrefs

Cf. A001113, A073246 (the one-digit primes in e), A104844 - A104862.

Programs

  • Mathematica
    With[{len=2},FromDigits/@Select[Partition[RealDigits[E,10,1000][[1]], len,1],PrimeQ[FromDigits[#]]&&IntegerLength[FromDigits[#]]==len&]] (* Harvey P. Dale, Oct 23 2011 *)

Extensions

Changed offset from 0 to 1 by Vincenzo Librandi, Apr 21 2013

A101456 Prime digits in the decimal expansion of Euler's constant (or Euler-Mascheroni constant) gamma.

Original entry on oeis.org

5, 7, 7, 2, 5, 5, 3, 2, 5, 2, 2, 2, 3, 2, 5, 3, 3, 5, 3, 2, 3, 5, 5, 7, 7, 2, 3, 7, 7, 2, 7, 7, 7, 7, 3, 7, 3, 2, 7, 7, 5, 3, 7, 2, 7, 2, 5, 5, 2, 3, 2, 2, 7, 3, 7, 2, 3, 5, 3, 2, 5, 3, 5, 3, 3, 3, 7, 2, 3, 7, 3, 3, 7, 7, 3, 7, 7, 3, 2, 7, 2, 5, 5, 2, 5, 2, 7, 7, 3, 5, 2, 3, 5, 7, 5, 3, 2, 3, 3, 5, 7, 7, 5, 2, 2
Offset: 0

Views

Author

Sebastian Gutierrez (sgutierr(AT)alum.mit.edu), Jan 20 2005

Keywords

Links

Crossrefs

Cf. A001620, A073264, A073246.

Programs

  • Mathematica
    Select[ RealDigits[ EulerGamma, 10, 275][[1]], PrimeQ[ # ] &] (* Robert G. Wilson v, Jan 21 2005 *)

Extensions

More terms from Robert G. Wilson v, Jan 21 2005

A185120 Cut decimal expansion of e (A001113) into pieces that are primes, each prime being greater in length than the last.

Original entry on oeis.org

2, 71, 8281828459045235360287471, 352662497757247093699959574966967627724076630353547594571382178525166427427466391932003059
Offset: 1

Views

Author

N. J. A. Sloane, Feb 05 2012

Keywords

Comments

Feb 06 2012: Charles R Greathouse IV found the next few terms. He reports that the sequence starts 2, 71, 8281828459045235360287471, 352...3059 (90 digits), 9218...939 (456 digits), 239...6753 (608 digits), 985...8631 (1421 digits), 382...0327 (1469 digits). Since these terms are too large to display here, M. F. Hasler points out that we could add a sequence giving the starting place (in the decimal expansion of e) where the next prime begins.
If we omit the condition that the terms increase in length, the sequence begins 2, 7. The third term is the 649-digit number 18281...0429, found by Charles R Greathouse IV, Feb 06 2012.

Crossrefs

Cf. A001113, A073246, A104843.
A subsequence of A198188. - M. F. Hasler, Feb 05 2012

Extensions

a(4) from Ignacio Larrosa Cañestro, Feb 05 2012

A101457 Prime digits in the decimal expansion of golden ratio phi (or tau) = (1 + sqrt 5 )/2.

Original entry on oeis.org

3, 3, 7, 2, 5, 3, 3, 5, 3, 7, 7, 2, 3, 7, 5, 7, 2, 2, 3, 5, 2, 2, 7, 5, 2, 2, 2, 7, 7, 2, 7, 2, 3, 3, 7, 7, 5, 7, 5, 3, 7, 5, 2, 2, 3, 3, 2, 2, 2, 3, 5, 3, 3, 7, 3, 7, 7, 2, 3, 5, 3, 3, 3, 5, 5, 3, 5, 2, 5, 3, 3, 2, 2, 3, 2, 2, 2, 7, 7, 5, 2, 7, 2, 5, 7, 2, 7, 3, 2, 2, 2, 3, 2, 2, 5, 2, 2, 3, 3, 3, 7, 5, 7, 2, 2
Offset: 0

Views

Author

Sebastian Gutierrez (sgutierr(AT)alum.mit.edu), Jan 20 2005

Keywords

Crossrefs

Cf. A001622, A073264, A073246.

Programs

  • Mathematica
    Select[ RealDigits[ GoldenRatio, 10, 275][[1]], PrimeQ[ # ] &] (* Robert G. Wilson v, Jan 21 2005 *)

Extensions

More terms from Robert G. Wilson v, Jan 21 2005

A101458 Prime digits in the decimal expansion of Khinchin's constant.

Original entry on oeis.org

2, 5, 5, 2, 5, 3, 5, 3, 7, 3, 5, 7, 5, 3, 2, 3, 2, 2, 3, 2, 5, 3, 5, 5, 2, 3, 5, 5, 5, 7, 2, 5, 5, 3, 7, 5, 2, 2, 7, 3, 7, 7, 5, 5, 3, 5, 5, 2, 2, 7, 7, 7, 7, 3, 5, 7, 2, 5, 3, 3, 3, 2, 5, 3, 5, 2, 3, 5, 2, 3, 3, 2, 2, 3, 3, 2, 5, 2, 2, 2, 3, 7, 7, 2, 3, 7, 3, 7, 5, 3, 5, 3, 3, 7, 2, 3, 3, 5, 7, 7, 2, 2, 7, 7, 2
Offset: 1

Views

Author

Sebastian Gutierrez (sgutierr(AT)alum.mit.edu), Jan 20 2005

Keywords

Crossrefs

Cf. A002210, A073264, A073246.

Programs

  • Mathematica
    Select[RealDigits[Khinchin,10,263][[1]],PrimeQ] (* James C. McMahon, Jan 01 2024 *)

Extensions

More terms from Robert G. Wilson v, Jan 21 2005
Showing 1-5 of 5 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.