A233819 Least odd integer of each prime signature ordered by prime signatures occurrence.

1, 3, 9, 15, 27, 45, 81, 135, 105, 243, 225, 405, 315, 729, 675, 1215, 945, 2187, 2025, 1575, 3645, 1155, 3375, 2835, 6561, 6075, 4725, 10935, 3465, 10125, 8505, 19683, 18225, 14175, 32805, 10395, 30375, 11025, 25515, 59049, 23625, 54675, 17325, 50625, 42525, 98415, 31185, 91125, 33075, 76545, 177147, 70875

Offset

1,2

Comments

a(n) is the least odd integer with the same prime signature as A025487(n).

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Will Nicholes, Prime Signatures

Formula

a(n) = A003961(A025487(n)). - Amiram Eldar, Jun 23 2019

Example

a(7) is the first odd integer with prime signature {1,3} = 3^3*5 = 135.
a(8) is the first odd integer with prime signature {1,1,1} = 3*5*7 = 105.

Crossrefs

Cf. A003961, A025487, A147516.

Sequence in context: A339886 A147516 A372509 * A131822 A131801 A280963

Adjacent sequences: A233816 A233817 A233818 * A233820 A233821 A233822

Keyword

nonn

Author

Lior Manor, Dec 16 2013

Status

approved