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# Power Difference Prime

Define a power difference prime as a number of the form that is prime. The first few power difference primes then have , 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).

Integer Sequence Primes, Power Tower

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## References

Andersen, J. K. "RE: Is There a Pattern?" 28 Nov 2005. http://groups.yahoo.com/group/primenumbers/message/17255.Rivera, C. "Puzzle 185. Differences Between Consecutive Values." http://www.primepuzzles.net/puzzles/puzz_185.htm.Sloane, N. J. A. Sequence A072164 in "The On-Line Encyclopedia of Integer Sequences."Underwood, M. "RE: Is There a Pattern?" 28 Nov 2005. http://groups.yahoo.com/group/primenumbers/message/17254.

## Referenced on Wolfram|Alpha

Power Difference Prime

## Cite this as:

Weisstein, Eric W. "Power Difference Prime." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PowerDifferencePrime.html