

A128466


Primes of the form ((n+1)^n1)/n^2 = A060073(n+1).


4




OFFSET

1,1


COMMENTS

Corresponding numbers n such that ((n+1)^n1)/n^2 is a prime are listed in A127837(n) = {2, 3, 5, 17, ...}. a(n) are the primes in A060073(n) = (n^(n1)1)/(n1)^2 = {1, 2, 7, 39, 311, 3268, 42799, ...}.
Next term has 15850 = 1+floor((4357*log(4358)2*log(4357))/log(10)) digits and is too large to include.  M. F. Hasler, May 22 2007


LINKS

Table of n, a(n) for n=1..4.


FORMULA

a(n) = ((A127837(n) + 1)^A127837(n)  1) / A127837(n)^2.


MATHEMATICA

Select[Table[((n+1)^n1)/n^2, {n, 500}], PrimeQ] (* Harvey P. Dale, Apr 30 2011 *)


PROG

(PARI) A128466(n)=A060073(A127837(n)+1) /* see there.  or: */ forprime(p=1, 10^5, if(ispseudoprime(n=((p+1)^p1)/p^2), print1(n, ", ")));  M. F. Hasler, May 22 2007


CROSSREFS

Cf. A127837, A037205, A060072, A060073, A058128, A128456
Sequence in context: A128456 A137666 A137665 * A048122 A144787 A118910
Adjacent sequences: A128463 A128464 A128465 * A128467 A128468 A128469


KEYWORD

nonn


AUTHOR

Alexander Adamchuk, Mar 09 2007


STATUS

approved



