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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A082705 Numbers k such that (29*10^(k-1) + 7)/9 is a depression prime.

Original entry on oeis.org

7, 9, 895, 1525, 3037, 21157
Offset: 1

Views

Author

Patrick De Geest, Apr 13 2003

Keywords

Comments

Prime versus probable prime status and proofs are given in the author's table.

Examples

			k=9 -> (29*10^(9-1) + 7)/9 = 322222223.

References

  • C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

Links

Crossrefs

Cf. A082697-A082720, A056252.

Formula

a(n) = A056252(n) + 2.

Extensions

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
Edited by Ray Chandler, Nov 05 2014

A082718 Numbers k such that (83*10^(k-1) + 61)/9 is a depression prime.

Original entry on oeis.org

3, 7, 13, 111, 3609, 37785
Offset: 1

Views

Author

Patrick De Geest, Apr 13 2003

Keywords

Comments

Prime versus probable prime status and proofs are given in the author's table.

Examples

			k=13 -> (83*10^(13-1) + 61)/9 = 9222222222229.

References

  • C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

Links

Crossrefs

Cf. A082697-A082720, A056265, A068651.

Formula

a(n) = A056265(n) + 2.

Extensions

37785 from Patrick De Geest, Jun 26 2005
Edited by Ray Chandler, Oct 20 2010
Edited by Ray Chandler, Nov 04 2014

A082701 Numbers k such that (16*10^(k-1) - 61)/9 is a plateau prime.

Original entry on oeis.org

7, 49, 103, 193, 367, 1003, 20365, 37447, 56083
Offset: 1

Views

Author

Patrick De Geest, Apr 13 2003

Keywords

Comments

Prime versus probable prime status and proofs are given in the author's table.

Examples

			k=7 -> (16*10^(7-1) - 61)/9 = 1777771.

References

  • C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

Links

Crossrefs

Cf. A082697-A082720, A056248.

Formula

a(n) = A056248(n+1) + 2.

Extensions

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
Edited by Ray Chandler, Nov 04 2014

A082706 Numbers k such that (31*10^(k-1) - 13)/9 is a plateau prime.

Original entry on oeis.org

7, 13, 493, 5569, 24757
Offset: 1

Views

Author

Patrick De Geest, Apr 13 2003

Keywords

Comments

Prime versus probable prime status and proofs are given in the author's table.

Examples

			k=13 -> (31*10^(13-1) - 13)/9 = 3444444444443.

References

  • C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

Links

Crossrefs

Cf. A082697-A082720, A056253.

Formula

a(n) = A056253(n) + 2.

Extensions

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
Edited by Ray Chandler, Nov 05 2014

A082707 Numbers k such that (32*10^(k-1) - 23)/9 is a plateau prime.

Original entry on oeis.org

3, 9, 141, 231, 427, 463, 727, 1975, 7231, 45861, 47305
Offset: 1

Views

Author

Patrick De Geest, Apr 13 2003

Keywords

Comments

Prime versus probable prime status and proofs are given in the author's table.

Examples

			k=9 -> (32*10^(9-1) - 23)/9 = 355555553.

References

  • C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

Links

Crossrefs

Cf. A082697-A082720, A056254.

Formula

a(n) = A056254(n) + 2.

Extensions

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
Edited by Ray Chandler, Nov 05 2014

A082708 Numbers k such that (34*10^(k-1) - 43)/9 is a plateau prime.

Original entry on oeis.org

3, 15, 55, 69, 85, 87, 157, 2767, 3381, 3877, 5209, 10747, 15769, 31317, 40959, 45805, 46567, 51009, 80163
Offset: 1

Views

Author

Patrick De Geest, Apr 13 2003

Keywords

Comments

Prime versus probable prime status and proofs are given in the author's table.

Examples

			k=15 -> (34*10^(15-1) - 43)/9 = 377777777777773.

References

  • C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

Links

Crossrefs

Cf. A082697-A082720, A056255.

Formula

a(n) = A056255(n) + 2.

Extensions

Updates from De Geest site by Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
a(18)=51009 from Ray Chandler, Nov 16 2010
a(19)=80163 from Ray Chandler, Dec 15 2010
Edited by Ray Chandler, Nov 05 2014

A082709 Numbers k such that (35*10^(k-1) - 53)/9 is a plateau prime.

Original entry on oeis.org

3, 13, 31, 61, 117, 291, 633, 1065, 1495, 5433, 7363
Offset: 1

Views

Author

Patrick De Geest, Apr 13 2003

Keywords

Comments

Prime versus probable prime status and proofs are given in the author's table.

Examples

			k=13 -> (35*10^(13-1) - 53)/9 = 3888888888883.

References

  • C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

Links

Crossrefs

Cf. A082697-A082720, A056256.

Formula

a(n) = A056256(n) + 2.

Extensions

Edited by Ray Chandler, Nov 05 2014

A082711 Numbers k such that (65*10^(k-1) + 43)/9 is a depression prime.

Original entry on oeis.org

3, 5, 9, 29, 65, 725, 1787, 7277, 19463, 24215, 51779, 131393
Offset: 1

Views

Author

Patrick De Geest, Apr 13 2003

Keywords

Comments

Prime versus probable prime status and proofs are given in the author's table.
a(13) > 2*10^5. - Tyler Busby, Feb 01 2023

Examples

			k=9 -> (65*10^(9-1) + 43)/9 = 722222227.

References

  • C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

Links

Crossrefs

Cf. A082697-A082720, A056257.

Formula

a(n) = A056257(n) + 2.

Extensions

Update from De Geest site by Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
a(11)=51779 from Ray Chandler, Nov 16 2010
Edited by Ray Chandler, Nov 05 2014
a(12) from Tyler Busby, Feb 01 2023

A082712 Numbers k such that (67*10^(k-1) + 23)/9 is a depression prime.

Original entry on oeis.org

11, 31, 121, 485, 1487, 1579, 13673, 13811, 15095, 72773, 94212
Offset: 1

Views

Author

Patrick De Geest, Apr 13 2003

Keywords

Comments

Prime versus probable prime status and proofs are given in the author's table.

Examples

			k=11 -> (67*10^(11-1) + 23)/9 = 74444444447.

References

  • C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

Links

Crossrefs

Cf. A082697-A082720, A056258.

Formula

a(n) = A056258(n) + 2.

Extensions

a(10)=72773 from Ray Chandler, Nov 16 2010
a(11)=94212 from Ray Chandler, Feb 21 2011
Edited by Ray Chandler, Nov 05 2014

A082713 Numbers k such that (68*10^(k-1) + 13)/9 is a depression prime.

Original entry on oeis.org

3, 5, 11, 21, 23, 59, 75, 83, 209, 351, 423, 3813, 3983, 20925, 23787, 38853, 56043, 68505, 74435
Offset: 1

Views

Author

Patrick De Geest, Apr 13 2003

Keywords

Comments

Prime versus probable prime status and proofs are given in the De Geest link.

Examples

			k=21 -> (68*10^(21-1) + 13)/9 = 755555555555555555557.

References

  • C. Caldwell and H. Dubner, The near repdigit primes A(n-k-1)B(1)A(k), especially 9(n-k-1)8(1)9(k), Journal of Recreational Mathematics, Volume 28, No. 1, 1996-97, pp. 1-9.

Links

Crossrefs

Cf. A082697-A082720, A056259.

Formula

a(n) = A056259(n) + 2.

Extensions

Updates from De Geest site by Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
a(17)=56043 and a(18)=68505 from Ray Chandler, Nov 16 2010
a(19)=74434 from Ray Chandler, Nov 17 2010
a(19) corrected by Patrick De Geest, Nov 04 2014
Edited by Ray Chandler, Nov 05 2014
Definition rewritten by Michel Marcus, Oct 27 2019
Previous Showing 11-20 of 25 results. Next

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