|
| |
|
|
A099499
|
|
Primes of the form A007925(n)=n^(n+1)-(n+1)^n.
|
|
1
| | |
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| The next term a(6)=883^884-884^883 has 2605 decimal digits and is too large to include here.
|
|
|
EXAMPLE
| a(2)=162287 because A007925(A072179(2))=6^7-7^6=162287 is prime.
|
|
|
MATHEMATICA
| lst={}; Do[m=n+1; q=n^m-m^n; If[PrimeQ[q], AppendTo[lst, q]], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 23 2009]
|
|
|
CROSSREFS
| Cf. A007925 n^(n+1)-(n+1)^n, A072179 n^(n+1)-(n+1)^n is prime, A099497 n^(n+1)-(n+1)^n is a semiprime, A099495 semiprimes of the form n^(n+1)-(n+1)^n.
Sequence in context: A046883 A046884 A203677 * A051157 A177918 A177816
Adjacent sequences: A099496 A099497 A099498 * A099500 A099501 A099502
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Hugo Pfoertner (hugo(AT)pfoertner.org), Oct 19 2004
|
| |
|
|
