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

Author

Paul Tek, May 10 2013

Keywords

• nonn

Comments

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

Examples

			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.
		

Links

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

Crossrefs

Cf. A000040, A000079, A225547.