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A160491
First differences of A062481.
1
7, 235, 16141, 48811741, 13011865891, 232617453293191, 143882557561868665, 8862794004464425240057, 99999991137061880347498904071, 191843424957750480504146841291811
OFFSET
1,1
COMMENTS
a(1), a(3) and a(6) are the only primes found for n up to 10000 using The C/Gmp program in the link which is 17 times faster than the PARI routine. We read large blocks of primes into memory and test in memory.
If another prime exists, it is larger than 418977 digits.
A concept of order can be introduced here by researching and analyzing the next-nextprime, next-next-nextprime etc.
FORMULA
a(n) = A062481(n+1) - A062481(n).
EXAMPLE
For n = 3, 4^7 - 3^3 = 16141, the 3rd entry in the sequence.
PROG
(PARI) ppower(n) = { for(x=1, n, y=(x+1)^prime(x+1)-x^prime(x); print1(y", ") ); }
CROSSREFS
Sequence in context: A081618 A285369 A287042 * A120661 A366703 A185389
KEYWORD
nonn
AUTHOR
Cino Hilliard, May 15 2009
EXTENSIONS
Edited by R. J. Mathar, May 17 2009
STATUS
approved