Jack P. Eisenmann - cp's OEIS frontend

A273519 Numbers n such that 7*14^n-1 is prime.

1, 3, 5, 7, 9, 21, 39, 59, 99, 323, 331, 359, 617, 2529

Offset: 0

Jack P. Eisenmann, May 23 2016

J. Brillhart, D. H. Lehmer and J. L. Selfridge, New primality criteria and factorizations of 2^m+-1, Math. Compl. 29 (1975) 620-647.
John Eisenmann, Prime Numbers of the Form a * 14^b - 1.
Victor Shoup, A Computational Introduction to Number Theory and Algebra, 2008, page 348.
Eric Weisstein's World of Mathematics, Lucas Sequence.
Eric Weisstein's World of Mathematics, Rabin-Miller Strong Pseudoprime Test.

is(n)=ispseudoprime(7*14^n-1) \\ Charles R Greathouse IV, Jun 08 2016

A273520 Numbers n such that 8*14^n-1 is prime.

Original entry on oeis.org

2, 88, 178, 562, 2392, 4946, 5816

Offset: 0

Jack P. Eisenmann, May 23 2016

J. Brillhart, D. H. Lehmer and J. L. Selfridge, New primality criteria and factorizations of 2^m+-1, Math. Compl. 29 (1975) 620-647.
John Eisenmann, Prime Numbers of the Form a * 14^b - 1.
Victor Shoup, A Computational Introduction to Number Theory and Algebra, 2008, page 348.
Eric Weisstein's World of Mathematics, Lucas Sequence.
Eric Weisstein's World of Mathematics, Rabin-Miller Strong Pseudoprime Test.

is(n)=ispseudoprime(8*14^n-1) \\ Charles R Greathouse IV, Jun 08 2016

A273521 Numbers n such that 10*14^n-1 is prime.

Original entry on oeis.org

1, 105, 209, 505, 683, 879, 1233, 11647

Offset: 0

Jack P. Eisenmann, May 23 2016

J. Brillhart, D. H. Lehmer and J. L. Selfridge, New primality criteria and factorizations of 2^m+-1, Math. Compl. 29 (1975) 620-647.
John Eisenmann, Prime Numbers of the Form a * 14^b - 1.
Victor Shoup, A Computational Introduction to Number Theory and Algebra, 2008, page 348.
Eric Weisstein's World of Mathematics, Lucas Sequence.
Eric Weisstein's World of Mathematics, Rabin-Miller Strong Pseudoprime Test.

is(n)=ispseudoprime(10*14^n-1) \\ Charles R Greathouse IV, Jun 08 2016

A273522 Numbers n such that 12*14^n-1 is prime.

Original entry on oeis.org

1, 2, 4, 6, 22, 24, 26, 37, 47, 257, 374, 1848, 3128, 3468, 6943, 9663

Offset: 0

Jack P. Eisenmann, May 23 2016

J. Brillhart, D. H. Lehmer and J. L. Selfridge, New primality criteria and factorizations of 2^m+-1, Math. Compl. 29 (1975) 620-647.
John Eisenmann, Prime Numbers of the Form a * 14^b - 1.
Victor Shoup, A Computational Introduction to Number Theory and Algebra, 2008, page 348.
Eric Weisstein's World of Mathematics, Lucas Sequence.
Eric Weisstein's World of Mathematics, Rabin-Miller Strong Pseudoprime Test.

is(n)=ispseudoprime(12*14^n-1) \\ Charles R Greathouse IV, Jun 08 2016

A273518 Numbers n such that 6*14^n-1 is prime.

Original entry on oeis.org

1, 27, 1325, 6375, 6899, 13445

Offset: 0

Jack P. Eisenmann, May 23 2016

J. Brillhart, D. H. Lehmer and J. L. Selfridge, New primality criteria and factorizations of 2^m+-1, Math. Compl. 29 (1975) 620-647.
John Eisenmann, Prime Numbers of the Form a * 14^b - 1.
Victor Shoup, A Computational Introduction to Number Theory and Algebra, 2008, page 348.
Eric Weisstein's World of Mathematics, Lucas Sequence.
Eric Weisstein's World of Mathematics, Rabin-Miller Strong Pseudoprime Test.

is(n)=ispseudoprime(6*14^n-1) \\ Charles R Greathouse IV, Jun 08 2016

A273523 Numbers n such that 13*14^n-1 is prime.

Original entry on oeis.org

1, 3, 5, 27, 35, 165, 209, 2351, 11277

Offset: 0

Jack P. Eisenmann, May 23 2016

J. Brillhart, D. H. Lehmer and J. L. Selfridge, New primality criteria and factorizations of 2^m+-1, Math. Compl. 29 (1975) 620-647.
John Eisenmann, Prime Numbers of the Form a * 14^b - 1.
Victor Shoup, A Computational Introduction to Number Theory and Algebra, 2008, page 348.
Eric Weisstein's World of Mathematics, Lucas Sequence.
Eric Weisstein's World of Mathematics, Rabin-Miller Strong Pseudoprime Test.

is(n)=ispseudoprime(13*14^n-1) \\ Charles R Greathouse IV, Jun 08 2016

A270011 Numbers n such that 3*14^n-1 is prime.

Original entry on oeis.org

1, 2, 3, 5, 15, 31, 53, 100, 108, 188, 328, 568, 816, 1013, 1912, 4008, 4155, 8686, 10747

Offset: 0

Jack P. Eisenmann, May 23 2016

J. Brillhart, D. H. Lehmer and J. L. Selfridge, New primality criteria and factorizations of 2^m+-1, Math. Compl. 29 (1975) 620-647.
John Eisenmann, Prime Numbers of the Form a * 14^b - 1.
Victor Shoup, A Computational Introduction to Number Theory and Algebra, 2008, page 348.
Eric Weisstein's World of Mathematics, Lucas Sequence.
Eric Weisstein's World of Mathematics, Rabin-Miller Strong Pseudoprime Test.

is(n)=ispseudoprime(3*14^n-1) \\ Charles R Greathouse IV, Jun 13 2017

A273517 Numbers k such that 2*14^k-1 is prime.

Original entry on oeis.org

4, 10, 124, 550, 4720, 14644, 23896, 83384, 95492

Offset: 1

Jack P. Eisenmann, May 23 2016

a(10) > 10^5. - Tyler NeSmith, May 11 2021

J. Brillhart, D. H. Lehmer and J. L. Selfridge, New primality criteria and factorizations of 2^m+-1, Math. Compl. 29 (1975) 620-647.
John Eisenmann, Prime Numbers of the Form a * 14^b - 1.
Victor Shoup, A Computational Introduction to Number Theory and Algebra, 2008, page 348.
Eric Weisstein's World of Mathematics, Lucas Sequence.
Eric Weisstein's World of Mathematics, Rabin-Miller Strong Pseudoprime Test.

Select[Range[0, 15000], PrimeQ[2 14^# - 1] &] (* Vincenzo Librandi, May 24 2016 *)

is(n)=ispseudoprime(2*14^n-1) \\ Charles R Greathouse IV, Jun 13 2017

a(7)-a(9) from Tyler NeSmith, May 11 2021

cp's OEIS Frontend

User: Jack P. Eisenmann

A273519 Numbers n such that 7*14^n-1 is prime.

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A273520 Numbers n such that 8*14^n-1 is prime.

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A273521 Numbers n such that 10*14^n-1 is prime.

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A273522 Numbers n such that 12*14^n-1 is prime.

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A273518 Numbers n such that 6*14^n-1 is prime.

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A273523 Numbers n such that 13*14^n-1 is prime.

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A270011 Numbers n such that 3*14^n-1 is prime.

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A273517 Numbers k such that 2*14^k-1 is prime.

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