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.

A104799 Primes containing sublist {0123456789}.

Original entry on oeis.org

101234567897, 301234567891, 401234567891, 401234567897, 601234567897, 701234567897, 801234567893, 1012345678901, 1012345678907, 1012345678961, 1012345678969, 1012345678979, 1012345678997, 1101234567899, 1201234567891, 1501234567891, 1501234567897, 1601234567897, 1601234567899
Offset: 1

Views

Author

Zak Seidov, Mar 26 2005

Keywords

Examples

			101234567897 is in the sequence as it contains the string 0123456789 and it is a prime. - _David A. Corneth_, May 28 2023

Links

Crossrefs

Cf. A104800, A104801, A104802.

Programs

Extensions

Missing data inserted and more terms from David A. Corneth, May 28 2023

A104912 Numbers k such that the string 9876543210k is prime.

Original entry on oeis.org

29, 47, 61, 89, 97, 217, 229, 299, 361, 379, 389, 419, 461, 463, 467, 533, 637, 643, 649, 701, 707, 733, 749, 769, 791, 847, 869, 923, 943, 949, 997, 1067, 1103, 1169, 1319, 1327, 1361, 1439, 1451, 1481, 1489, 1493, 1517, 1543, 1549, 1579, 1591, 1643, 1681
Offset: 1

Views

Author

Zak Seidov, Mar 29 2005

Keywords

Links

Crossrefs

Cf. A104800, A104913.

Programs

  • Magma
    [ n: n in [1..1750] | IsPrime(Seqint(Intseq(n) cat [0, 1, 2, 3, 4, 5, 6, 7, 8, 9])) ]; // Vincenzo Librandi, Feb 02 2011
  • Mathematica
    Select[Range[2000],PrimeQ[9876543210*10^IntegerLength[#]+#]&] (* Harvey P. Dale, Jun 22 2024 *)

A104913 Primes p such that the string 9876543210p is prime, or primes in A104912.

Original entry on oeis.org

29, 47, 61, 89, 97, 229, 379, 389, 419, 461, 463, 467, 643, 701, 733, 769, 997, 1103, 1319, 1327, 1361, 1439, 1451, 1481, 1489, 1493, 1543, 1549, 1579, 1741, 1823, 1951, 2039, 2063, 2081, 2089, 2237, 2273, 2287, 2549, 2621, 2683, 2693, 2963, 2999
Offset: 1

Views

Author

Zak Seidov, Mar 29 2005

Keywords

Crossrefs

Cf. A104800, A104912.

A108491 Smallest prime with a run of n strictly decreasing digits.

Original entry on oeis.org

2, 31, 421, 5431, 75431, 764321, 8764321, 97654321, 9765432101, 198765432101
Offset: 1

Views

Author

Rick L. Shepherd, Jun 04 2005

Keywords

Comments

This sequence contains A071360. a(10) = A104800(1).

Crossrefs

Cf. A071360, A108471, A104800.

A180616 Emirps containing the pandigital 9876543210 as a substring.

Original entry on oeis.org

987654321007, 1098765432101, 3598765432109, 9798765432101, 9876543210463, 9876543210733, 9876543210847, 9987654321077, 9987654321097, 10987654321001, 10987654321097, 11987654321081, 12987654321011, 14987654321053, 18898765432109, 19876543210187, 19876543210607, 19876543210691
Offset: 1

Views

Author

Lekraj Beedassy, Sep 12 2010

Keywords

Examples

			1098765432101 is a term as it contains the string 9876543210 and it is prime and its digital reversal, 1012345678901, is prime. - _David A. Corneth_, May 28 2023

Links

Crossrefs

Cf. A104800, A006567

Programs

Formula

A006567 INTERSECT A104800.

Extensions

Table moved into b-file by R. J. Mathar, Sep 23 2010
More terms from David A. Corneth, May 28 2023
Showing 1-5 of 5 results.

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

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