A296204 Numbers k such that Product_{d|k, gcd(d,k/d) is prime} gcd(d,k/d) = k; the fixed points of A295666.

1, 36, 100, 144, 196, 225, 324, 400, 441, 484, 676, 784, 1089, 1156, 1225, 1296, 1444, 1521, 1936, 2025, 2116, 2500, 2601, 2704, 3025, 3249, 3364, 3844, 3969, 4225, 4624, 4761, 5476, 5625, 5776, 5929, 6724, 7225, 7396, 7569, 8281, 8464, 8649, 8836, 9025, 9604, 9801, 10000, 11236, 12321, 13225, 13456, 13689, 13924, 14161

Offset

1,2

Links

Table of n, a(n) for n=1..55.

Mathematica

a295666[n_]:=Product[GCD[i, n/i]^Boole[PrimeQ[GCD[i, n/i]]], {i, Divisors[n]}]; Select[Range[14500], a295666[#]==# &] (* Stefano Spezia, Feb 20 2024 *)

Crossrefs

Cf. A295666, A296205 (the square roots).

Sequence in context: A377817 A131605 A376119 * A063734 A069057 A342402

Adjacent sequences: A296201 A296202 A296203 * A296205 A296206 A296207

Keyword

nonn

Author

Antti Karttunen, Dec 18 2017

Status

approved