A125885 -id:A125885 - cp's OEIS frontend

A125969 Numbers k for which k^12+k^11-1 is prime.

2, 5, 9, 10, 11, 12, 13, 24, 30, 31, 48, 49, 60, 61, 71, 85, 96, 104, 131, 132, 147, 167, 175, 185, 191, 198, 204, 218, 226, 242, 269, 305, 323, 340, 385, 386, 406, 437, 471, 500, 526, 534, 549, 570, 576, 591, 592, 609, 633, 660, 670, 676, 680, 690, 697, 713, 752

Offset: 1

Artur Jasinski, Dec 14 2006

nonn

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A000040, A045546, A125881-A125885, A125965-A125973.

Do[If[PrimeQ[x^12 + x^11 - 1], Print[x]], {x, 1, 400}]
Select[Range[800],PrimeQ[#^12+#^11-1]&] (* Harvey P. Dale, Nov 08 2022 *)

is(n)=isprime(n^12+n^11-1) \\ Charles R Greathouse IV, May 15 2013

More terms from Amiram Eldar, Mar 18 2020

A125970 Numbers k for which k^13+k^12-1 is prime.

Original entry on oeis.org

38, 47, 51, 91, 102, 139, 150, 203, 207, 212, 218, 225, 237, 245, 263, 269, 278, 280, 283, 297, 300, 302, 303, 337, 357, 367, 370, 382, 404, 405, 408, 411, 425, 452, 456, 472, 496, 509, 514, 595, 605, 619, 626, 630, 670, 693, 707, 714, 735, 771, 773, 799, 854

Offset: 1

Artur Jasinski, Dec 14 2006

nonn

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A000040, A045546, A125881-A125885, A125965-A125973.

Do[If[PrimeQ[x^13 + x^12 - 1], Print[x]], {x, 1, 600}]

is(n)=isprime(n^13+n^12-1) \\ Charles R Greathouse IV, May 15 2013

More terms from Amiram Eldar, Mar 18 2020

A125971 Numbers k for which k^14+k^13-1 is prime.

Original entry on oeis.org

6, 9, 11, 21, 29, 33, 36, 49, 64, 66, 68, 80, 110, 113, 144, 240, 266, 270, 309, 348, 365, 366, 394, 426, 438, 459, 471, 474, 479, 485, 501, 548, 553, 570, 593, 660, 684, 699, 704, 725, 729, 743, 783, 798, 801, 809, 815, 820, 824, 833, 841, 891, 900, 931, 968

Offset: 1

Artur Jasinski, Dec 14 2006

nonn

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A000040, A045546, A125881-A125885, A125965-A125973.

Do[If[PrimeQ[x^14 + x^13 - 1], Print[x]], {x, 1, 600}]

is(n)=isprime(n^14+n^13-1) \\ Charles R Greathouse IV, May 15 2013

More terms from Amiram Eldar, Mar 18 2020

A126017 Smallest prime of the form k^n + k^(n-1) - 1.

Original entry on oeis.org

2, 5, 11, 23, 47, 971, 191, 383, 22136835839, 1310719, 2259801991, 6143, 353563778431304822783, 91424858111, 5425784582791, 57395627, 21474836479, 1099999999999999999, 786431, 13508517176729920889, 1818426107493966837974532393806148403199, 153558654482644991

Offset: 1

Artur Jasinski, Dec 14 2006

nonn

Primes arising in A125973.

			Consider n = 10. k^n + k^(n-1) - 1 evaluates to 1, 1535, 78731, 1310719 for k = 1, ..., 4. Only the last of these numbers, 4^10+4^9-1 = 1310719, is prime, hence a(10) = 1310719.

Cf. A000040, A045546, A125881-A125885, A125965-A125973.

Table[k=0;Until[PrimeQ[p=k^n+k^(n-1)-1],k++];p,{n,22}] (* James C. McMahon, Dec 23 2024 *)

{for(n=1,20,k=1;while(!isprime(a=k^n+k^(n-1)-1),k++);print1(a,","))} \\ Klaus Brockhaus, Dec 17 2006

Edited and extended by Klaus Brockhaus, Dec 17 2006

a(21)-a(22) from James C. McMahon, Dec 23 2024

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A125969 Numbers k for which k^12+k^11-1 is prime.

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A125970 Numbers k for which k^13+k^12-1 is prime.

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A125971 Numbers k for which k^14+k^13-1 is prime.

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A126017 Smallest prime of the form k^n + k^(n-1) - 1.

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