A239629 Factored over the Gaussian integers, the least positive number having n prime factors, including units -1, i, and -i.

1, 2, 5, 10, 30, 130, 390, 2730, 13260, 64090, 192270, 1345890, 7113990, 49797930, 291673590, 2041715130

Offset: 1

Author

T. D. Noe, Mar 31 2014

Keywords

• nonn
• more

Comments

Here -1, i, and -i are counted as factors. The factor 1 is counted only in a(1).

Indices of records of A239627. - Amiram Eldar, Jun 27 2020

Crossrefs

Cf. A001221, A001222 (integer factorizations).

Cf. A078458, A086275 (Gaussian factorizations).

Cf. A239627 (number of Gaussian factors of n, including units).

Cf. A239628 (similar to this sequence, but count all prime factors).

Cf. A239630 (number of distinct factors, excluding units).

Programs

Mathematica

nn = 12; t = Table[0, {nn}]; n = 0; found = 0; While[found < nn, n++; cnt = Length[FactorInteger[n, GaussianIntegers -> True]]; If[cnt <= nn && t[[cnt]] == 0, t[[cnt]] = n; found++]]; t

Extensions

a(14)-a(16) from Amiram Eldar, Jun 27 2020