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 1-6 of 6 results.

A226281 Least number k such that 3^(2^i) + k is prime for i = 0,1,..,n-1.

Original entry on oeis.org

2, 2, 2, 2, 58, 440, 18248, 2024098, 4263330280, 22836544460, 40728071843930
Offset: 1

Views

Author

Robin Garcia, Jun 02 2013

Keywords

Comments

Generalized Fermat primes of the form b^(2^i) + k.

Examples

			a(5) = 58 because k = 58 is the minimal k such that  N = 3^(2^i) + k is prime for i = 0, 1, 2 ,3 ,4; N = 61, 67, 139, 6619, 43046779. But 3^(2^5) + 58 is divisible by 37 and three other primes.
		

Crossrefs

Extensions

a(11) from Giovanni Resta, Jun 17 2013

A226707 Least number k such that 5^(2^i) + k is prime for i = 0,1,..,n-1.

Original entry on oeis.org

2, 6, 6, 48, 384, 1518, 2037018, 2037018, 44279730804, 424427587626
Offset: 1

Views

Author

Robin Garcia, Jun 15 2013

Keywords

Examples

			a(5) = 384 because k = 384 is the minimal k such that  N = 5^(2^i) + k is prime for i = 0, 1, 2, 3, 4; N = 389, 409, 1009, 391009, 152587891009. But 5^(2^5) + 384 is divisible by 797 and another prime.
		

Crossrefs

Extensions

a(10) from Giovanni Resta, Jun 16 2013

A161719 Least number k such that 7^(2^i) + k is prime for i = 0,1,..,n-1.

Original entry on oeis.org

4, 4, 10, 40, 990, 8712, 1691820, 69466840, 6173190532, 4139897208540
Offset: 1

Views

Author

Robin Garcia, Jun 16 2013

Keywords

Examples

			a(5) = 990 because k = 990 is the minimal k such that N = 7^(2^i) + k is prime for i = 0, 1, 2, 3, 4; N = 997, 1039, 3391, 5765791, 33232930570591. But 7^(2^5) + 990 is divisible by 37 and four other primes.
		

Crossrefs

Extensions

a(10) from Giovanni Resta, Jun 16 2013

A226708 Least number k such that 6^(2^i) + k is prime for i = 0,1,..,n-1.

Original entry on oeis.org

1, 1, 1, 11, 77, 1081, 142531, 41758027, 1206670783, 10654858617041
Offset: 1

Views

Author

Robin Garcia, Jun 15 2013

Keywords

Comments

a(5) = 77 because k = 77 is the minimal k such that N = 6^(2^i) + k is prime for i = 0, 1, 2, 3, 4; N = 83, 113, 1373, 1679693, 2821109907533. But 6^(2^5) + 77 is divisible by 79 and another prime.

Crossrefs

Extensions

a(10) from Giovanni Resta, Jun 16 2013

A226745 Least number k such that 9^(2^i) + k is prime for i = 0,1,..,n-1.

Original entry on oeis.org

2, 2, 2, 58, 440, 18248, 1659002, 71997050, 6776406070, 2038979576678
Offset: 1

Views

Author

Robin Garcia, Jun 16 2013

Keywords

Crossrefs

Extensions

a(10) from Giovanni Resta, Jun 16 2013

A226766 Least number k such that 4^(2^i) + k is prime for i = 0,1,..,n-1.

Original entry on oeis.org

1, 1, 1, 1, 15, 93, 53097, 3014907, 2295032545, 46868723367
Offset: 1

Views

Author

Robin Garcia, Jun 17 2013

Keywords

Comments

a(7) = 53097 < A129613(7) (base-2 version).

Crossrefs

Extensions

a(10) from Giovanni Resta, Jun 17 2013
Showing 1-6 of 6 results.