Power Difference Prime

Define a power difference prime as a number of the form n^n-(n-1)^(n-1) that is prime. The first few power difference primes then have n=2, 3, 4, 7, 11, 17, 106, 120, 1907, 7918, ... (OEIS A072164). The first 9 terms were found by Rivera, and the tenth by H. Lifchitz in 2001 (Andersen 2005).

See also

Integer Sequence Primes, Power Tower

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Andersen, J. K. "RE: Is There a Pattern?" 28 Nov 2005., C. "Puzzle 185. Differences Between Consecutive n^n Values.", N. J. A. Sequence A072164 in "The On-Line Encyclopedia of Integer Sequences."Underwood, M. "RE: Is There a Pattern?" 28 Nov 2005.

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Power Difference Prime

Cite this as:

Weisstein, Eric W. "Power Difference Prime." From MathWorld--A Wolfram Web Resource.

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