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).
Power Difference Prime
See also
Integer Sequence Primes, Power TowerExplore with Wolfram|Alpha
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 PrimeCite this as:
Weisstein, Eric W. "Power Difference Prime." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PowerDifferencePrime.html