A225548 Numbers of the form prime(i)^2^(i-1) or prime(i)^2^(j-1)*prime(j)^2^(i-1) with i and j distinct integers.

2, 9, 12, 80, 625, 1792, 2025, 321489, 720896, 5764801, 937890625, 5208653241, 55834574848, 2234039306640625, 45949729863572161, 313160411915961129, 313594649253062377472, 7123773809250362976481, 664987601339817047119140625, 992334624064536108066118386802209

Offset

1,1

Comments

These numbers are the "basic" fixed points of A225546.

Links

Paul Tek, Table of n, a(n) for n = 1..60

Example

5764801 = 7^8 = prime(4)^2^(4-1); hence 5764801 is in the sequence.
2234039306640625 = 5^16*11^4 = prime(3)^2^(5-1)*prime(5)^2^(3-1); hence 2234039306640625 is in the sequence.

Crossrefs

Cf. A000040, A000079, A225547.

Sequence in context: A216350 A125019 A259984 * A233400 A234945 A357729

Adjacent sequences: A225545 A225546 A225547 * A225549 A225550 A225551

Keyword

nonn

Author

Paul Tek, May 10 2013

Status

approved