A177008 Primes of the form k^(k-1) + k - 1.

3, 11, 67, 1000000009, 550618520345910837374536871905139185678862431

Offset

1,1

Comments

This sequence is a subsequence of A173235.

Next term, if it exists has more than 11111 digits.

No additional terms for k <= 9159; next term, if it exists, has more than 36000 digits. - Aleksandar Vasilić, Dec 22 2025

Links

Table of n, a(n) for n=1..5.

Example

p=10^9+9 is prime, so p is in the sequence.

Mathematica

Do[If[PrimeQ[n^(n-1)+n-1], Print[n^(n-1)+n-1]], {n, 3174}]

Crossrefs

Intersection of A000040 and A173235.

Cf. A177007, A177009.

Sequence in context: A326091 A173235 A201259 * A218923 A342436 A342394

Adjacent sequences: A177005 A177006 A177007 * A177009 A177010 A177011

Keyword

nonn,hard

Author

Shirin Alam Holi (mymtain(AT)yahoo.com), May 12 2010

Status

approved