A114846 Numbers of the form p^p - p!, where p is a prime.

2, 21, 3005, 818503, 285271753811, 302868879571453, 827239906198908668177, 1978419534015213180291979, 20880467973995895295470056270567, 2567686153152369372568088512776472510483469, 17069174130715013119956465106241589193164734431

Offset

1,1

Comments

Except for the term 2, p^p - p! is equal to the sum of p distinct primes.

Links

Table of n, a(n) for n=1..11.

Mathematica

Table[Prime[n]^Prime[n] - Prime[n]!, {n, 1, 11}] (* Stefan Steinerberger, Feb 21 2006 *)
Table[p^p-p!, {p, Prime[Range[15]]}] (* Harvey P. Dale, Feb 03 2015 *)

Crossrefs

Cf. A036679.

Sequence in context: A080815 A351580 A276654 * A195165 A201973 A278737

Adjacent sequences: A114843 A114844 A114845 * A114847 A114848 A114849

Keyword

easy,nonn

Author

Giovanni Teofilatto, Feb 20 2006

Extensions

More terms from Stefan Steinerberger, Feb 21 2006

Status

approved