A364599 a(n) is the least number with exactly n divisors of the form 5*k+3.

1, 3, 18, 48, 144, 288, 504, 1248, 1008, 2016, 3024, 4368, 5544, 14112, 12096, 17136, 11088, 34272, 22176, 26208, 33264, 52416, 48048, 91728, 66528, 117936, 155232, 183456, 133056, 235872, 188496, 222768, 144144, 528528, 376992, 616896, 421344, 825552, 288288, 1707552, 432432

Offset: 0

Author

Ilya Gutkovskiy, Jul 29 2023

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 0..100

Crossrefs

Cf. A001878, A005179, A038547, A364586, A364598, A364600.

Programs

PARI

list(nmax) = {my(v = vector(nmax+1), c = 0, k = 1, i); while(c < nmax+1, i = sumdiv(k, d, d % 5 == 3) + 1; if(i <= nmax+1 && v[i] == 0, c++; v[i] = k); k++); v;} \\ Amiram Eldar, Jan 28 2025