A140669 Numbers k such that (k+1)^(k+1) - k^k is prime.
1, 2, 3, 6, 10, 16, 105, 119, 1906, 7917
Offset: 1
Examples
17^17 - 16^16 = 808793517812627212561, which is prime, so 16 is a term.
Links
- Eric Weisstein's World of Mathematics, Integer Sequence Primes
- Eric Weisstein's World of Mathematics, Power Difference Prime
Programs
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Mathematica
Select[Table[n,{n,8000}],PrimeQ[(#+1)^(#+1)-#^#]&] (* Vladimir Joseph Stephan Orlovsky, Mar 03 2011 *)
Comments