A180203 Differences between prime powers of primes, offsetting the prime and the power by only one. (For purposes of this sequence, 0 and 1 are treated as primes; see Formula.)

1, 1, 7, 116, 16682, 19470364, 1792140906866, 9902785872511900, 5480376953206769280002, 74609990540732925759722548, 4316720643133944843150107810831502

Offset

1,3

Comments

Except for the first few terms, first differences of A078422. - Franklin T. Adams-Watters, Mar 08 2014

Links

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

Formula

a(n)= {EP(n+2)^EP(n+1)}-{EP(n+1)^EP(n)}, where EP(1) = 0, EP(2) = 1, and EP(n) = Prime(n-2) for n > 2.

Example

n=7 13^11 - 11^7 = 1 792 160 394 037 - 19 487 171 = 1 792 140 906 866.

Crossrefs

Cf. A078422, A088385.

Sequence in context: A251585 A320083 A329543 * A070067 A027502 A050285

Adjacent sequences: A180200 A180201 A180202 * A180204 A180205 A180206

Keyword

nonn

Author

Rick Stephens (rickstphns68(AT)hotmail.com), Aug 15 2010

Extensions

a(8)-a(11) from Robert G. Wilson v, Aug 23 2010

Status

approved