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.

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A135113 Integers k such that 10^k + 67 is a prime number.

Original entry on oeis.org

2, 4, 14, 26, 36, 60, 150, 410, 484, 972, 1942, 3694, 6926, 8582, 11930, 16076, 16276, 22820
Offset: 1

Views

Author

Julien Peter Benney (jpbenney(AT)gmail.com), Feb 12 2008

Keywords

Comments

The next k, if it exists, is > 100000. - Robert Price, Apr 25 2011
See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10067".

Examples

			4 is a term: 10^4 + 67 = 10000 + 67 = 10067, which is a prime number.

Links

Crossrefs

Cf. A095688, A108052, A108050, A108312, A107083, A108049, A108054.

Extensions

Term 11930 from Robert Price, Mar 22 2010
Terms 1942, 3694, 6926, 8582, 16076, 16276, 22820 from Robert Price, Sep 04 2010
Edited by Ray Chandler, Dec 23 2010

A135114 Integers k such that 10^k + 69 is a prime number.

Original entry on oeis.org

1, 3, 4, 5, 10, 11, 16, 35, 49, 69, 119, 223, 400, 775, 1003, 1523, 2225, 6793, 7018, 13600, 76801
Offset: 1

Views

Author

Julien Peter Benney (jpbenney(AT)gmail.com), Feb 12 2008

Keywords

Comments

Next term in sequence, if one exists is > 100000. - Robert Price, Apr 25 2011
See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10069".

Examples

			5 is a term because 10^5 + 69 = 100000 + 69 = 100069, which is prime.

Links

Crossrefs

Cf. A095688, A108052, A108050, A108312, A107083, A108049, A108054.

Extensions

Term 13600 from Robert Price, Mar 22 2010
Terms 1003, 1523, 2225, 6793, 7018 inserted by Robert Price, Oct 31 2010
Edited by Ray Chandler, Dec 23 2010
a(21)=76801 from Robert Price, Mar 03 2011

A135115 Integers k such that 10^k + 63 is a prime number.

Original entry on oeis.org

1, 2, 3, 11, 12, 37, 42, 64, 101, 131, 170, 366, 404, 771, 1454, 1696, 4415, 5208, 9027, 10978, 11264, 11651, 14432, 20655, 28220, 34623, 62523, 63986
Offset: 1

Views

Author

Julien Peter Benney (jpbenney(AT)gmail.com), Feb 12 2008

Keywords

Comments

If another term exists it is > 100000. - Robert Price, Apr 25 2011
See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10063".

Examples

			3 is a term because 10^3 + 63 = 1000 + 63 = 1063, which is prime.

Links

Crossrefs

Cf. A095688, A108052, A108050, A108312, A107083, A108049, A108054.

Programs

  • Mathematica
    Select[Range[2000],PrimeQ[10^#+63]&] (* Harvey P. Dale, Jul 24 2009 *)

Extensions

Two additional terms from Harvey P. Dale, Jul 24 2009
One more term from Robert Price, Mar 22 2010
Eight more terms from Robert Price, Aug 14 2010
Edited by Ray Chandler, Dec 23 2010
a(27)=62523, a(28)=63986 from Robert Price, Jan 29 2011

A135116 Integers k such that 10^k + 61 is a prime number.

Original entry on oeis.org

1, 3, 4, 10, 12, 16, 33, 696, 739, 1764, 2577, 3198, 4242, 11104, 18081, 19587, 20799, 22986, 92178
Offset: 1

Views

Author

Julien Peter Benney (jpbenney(AT)gmail.com), Feb 12 2008

Keywords

Comments

The next term, if one exists is > 100000. - Robert Price, Jul 14 2010
See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10061".

Examples

			4 is a term because 10^4 + 61 = 10000 + 61 = 10061, which is a prime number.

Links

Crossrefs

Cf. A095688, A108052, A108050, A108312, A107083, A108049, A108054.

Extensions

Term 11104 from Robert Price, Mar 22 2010
Terms 1764, 2577, 3198, 4242, 18081, 19587, 20799, 22986 from Robert Price, Jul 14 2010
Edited by Ray Chandler, Dec 23 2010
a(19)=92178 from Robert Price, Apr 19 2011

A135117 Integers k such that 10^k + 87 is a prime number.

Original entry on oeis.org

1, 3, 9, 19, 39, 43, 121, 153, 1243, 14445, 15273, 26779
Offset: 1

Views

Author

Julien Peter Benney (jpbenney(AT)gmail.com), Feb 12 2008

Keywords

Comments

The next term, if one exists, is > 100000. - Robert Price, Apr 25 2011
See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10087".

Examples

			3 is a term because 10^3 + 87 = 1000 + 87 = 1087, which is a prime number.

Links

Crossrefs

Cf. A095688, A108052, A108050, A108312, A107083, A108049, A108054.

Extensions

Term 14445 from Robert Price, Mar 22 2010
Terms 1243, 15273, 26779 from Robert Price, Oct 04 2010
Edited by Ray Chandler, Dec 23 2010

A135118 Integers k such that 10^k + 51 is a prime number.

Original entry on oeis.org

1, 2, 3, 13, 19, 81, 658, 1009, 1070, 1731, 2899, 4237, 5499, 18628, 28699, 47026
Offset: 1

Views

Author

Julien Peter Benney (jpbenney(AT)gmail.com), Feb 12 2008

Keywords

Comments

If more terms exist, then they are > 39456. - Robert Price, Aug 14 2010
See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10051".

Examples

			3 is a term because 10^3 + 51 = 1000 + 51 = 1051, which is prime.

Links

Crossrefs

Cf. A095688, A108052, A108050, A108312, A107083, A108049, A108054.

Extensions

a(8)-a(15) from Robert Price, Aug 14 2010
Edited by Ray Chandler, Dec 23 2010
a(16) from Robert Price, Dec 27 2010

A135119 Integers n such that 10^n+57 is a prime number.

Original entry on oeis.org

1, 2, 5, 11, 22, 30, 31, 43, 44, 64, 107, 191, 2149, 3174, 4952, 12126, 29884, 32645, 48442, 60959, 62750, 87408, 95326
Offset: 1

Views

Author

Julien Peter Benney (jpbenney(AT)gmail.com), Feb 12 2008

Keywords

Comments

See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10057".
No additional terms <100000.

Examples

			5 is a member because 10^5+57 = 100000+57 = 100057, which is a prime number.

Links

Crossrefs

Cf. A095688, A108052, A108050, A108312, A107083, A108049, A108054.

Extensions

Four PRP terms from Sean A. Irvine, Nov 11 2009
Added term 60959. Robert Price, Mar 22 2010
Added terms 29884,32645. Robert Price, Aug 24 2010
Edited by Ray Chandler, Dec 23 2010
a(19)=48442 from Robert Price, Dec 31 2010
a(21)=62750 from Robert Price, Jan 29 2011
a(22)=87408 from Robert Price, Mar 03 2011
a(23)=95326 from Robert Price, Mar 24 2011
Deleted superseded comment. - Harvey P. Dale, Apr 23 2022

A135131 Integers n such that 10^n + 79 is a prime number.

Original entry on oeis.org

1, 2, 4, 7, 16, 18, 43, 60, 73, 91, 106, 115, 120, 169, 394, 444, 516, 835, 886, 1912, 3120, 3602, 5664, 10188, 14434, 16564, 23732, 29058, 47728, 63916
Offset: 1

Views

Author

Julien Peter Benney (jpbenney(AT)gmail.com), Feb 12 2008

Keywords

Comments

If any additional terms exist, they are >40000. - Robert Price, Sep 25 2010
See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10079".

Examples

			7 is a member because 10^7+79 = 10000000+79 = 10000079, which is a prime number.

Links

Crossrefs

Cf. A095688, A108052, A108050, A108312, A107083, A108049, A108054.

Programs

  • Mathematica
    Select[Range[1000], PrimeQ[10^# + 79] &] (* G. C. Greubel, Sep 28 2016 *)

Extensions

Added two terms: 10188 and 14434. Robert Price, Mar 22 2010
Added seven terms: 1912, 3120, 3602, 5664, 16564, 23732, 29058. Robert Price, Sep 25 2010
Edited by Ray Chandler, Dec 23 2010
a(29)=47728 from Robert Price, Dec 31 2010
a(30)=63916 from Robert Price, Jan 29 2011

A135132 Integers n such that 10^n + 73 is a prime number.

Original entry on oeis.org

1, 2, 8, 11, 145, 695, 1099, 3518, 6211, 13015
Offset: 1

Views

Author

Julien Peter Benney (jpbenney(AT)gmail.com), Feb 12 2008

Keywords

Comments

a(5) to a(7) were certified prime with PRIMO. - Bernardo Boncompagni, Nov 07 2008
The next term (if one exists) is > 100000. - Robert Price, Apr 25 2011
See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10073".

Examples

			8 is a member because 10^8+73 = 100000000+73 = 100000073, which is prime.

Links

Crossrefs

Cf. A095688, A108052, A108050, A108312, A107083, A108049, A108054.

Programs

  • Mathematica
    Select[Range[1000], PrimeQ[10^# + 73] &] (* G. C. Greubel, Sep 28 2016 *)

Extensions

a(7) from Bernardo Boncompagni, Nov 07 2008
Added term 13015. Robert Price, Mar 22 2010
Added two terms: 3518,6211. Robert Price, Oct 10 2010
Edited by Ray Chandler, Dec 23 2010

A258932 Numbers k such that 10^k + 103 is prime.

Original entry on oeis.org

1, 3, 4, 5, 7, 9, 10, 11, 27, 35, 85, 169, 209, 221, 321, 347, 603, 610, 1229, 1391, 2171, 2303, 2679, 3977, 4545, 5721, 7090, 35877
Offset: 1

Views

Author

Vincenzo Librandi, Jun 15 2015

Keywords

Comments

a(29) > 60000. - Michael S. Branicky, Apr 27 2025

Examples

			For n = 3, a(3) = 10^3 + 103 = 1103, which is prime.

Crossrefs

Sequences of the type 10^n+k: A049054 (k=3), A088274 (k=7), A088275 (k=9), A095688 (k=13), A108052 (k=19), A108050 (k=21), A108312 (k=27), A107083 (k=31), A107084 (k=33), A135109 (k=37), A135108 (k=39), A108049 (k=43), A108054 (k=49), A135118 (k=51), A135119 (k=57), A135116 (k=61), A135115 (k=63), A135113 (k=67), A135114 (k=69), A135132 (k=73), A135131 (k=79), A137848 (k=81), A135117 (k=87), A110918 (k=91), A135112 (k=93), A135107 (k=97), A110980 (k=99), this sequence (k=103), A258933 (k=109), A165508 (k=111), A248349 (k=123456789), A248351 (k=987654321).

Programs

  • Magma
    [n: n in [1..600] | IsPrime(10^n+103)];
  • Mathematica
    Select[Range[5000], PrimeQ[10^# + 103] &]
  • PARI
    is(n)=ispseudoprime(10^n+103) \\ Charles R Greathouse IV, Jun 13 2017

Extensions

a(26)-a(28) from Jens Kruse Andersen, Jun 23 2015
Previous Showing 11-20 of 27 results. Next

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

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