A120426 n-th number with the same prime signature as n.

1, 3, 5, 49, 11, 22, 17, 6859, 529, 35, 31, 76, 41, 51, 55, 7890481, 59, 124, 67, 148, 74, 77, 83, 472, 9409, 87, 1092727, 212, 109, 285, 127, 38579489651, 115, 118, 119, 14884, 157, 129, 133, 856, 179, 385, 191, 356, 363, 155, 211, 2512, 51529, 412, 177, 425

Offset

1,2

Links

David A. Corneth, Table of n, a(n) for n = 1..20000

Eric Weisstein's World of Mathematics, Prime Signature

Formula

If p is prime, a(p) = prime(p). a(p^k) = prime(p^k)^k. More generally, if n = m^k, a(n) = [n-th number whose prime signature is the same as m]^k.

Crossrefs

Cf. A000040, A006450, A046523, A118914.

Sequence in context: A343768 A235356 A347593 * A077201 A196467 A371688

Adjacent sequences: A120423 A120424 A120425 * A120427 A120428 A120429

Keyword

nonn

Author

Franklin T. Adams-Watters, Jul 12 2006

Status

approved