A324206 Numbers with exactly six distinct exponents in their prime factorization, or six distinct parts in their prime signature.

5244319080000, 6197831640000, 6857955720000, 7342046712000, 7664774040000, 7866478620000, 8241072840000, 8676964296000, 8740531800000, 9278410680000, 9296747460000, 9578467080000, 9601138008000, 10286933580000, 10329719400000, 10488638160000, 10598658840000, 10705345560000

Offset

1,1

Links

David A. Corneth, Table of n, a(n) for n = 1..10000

Example

6197831640000 = 2^6 * 3^5 * 5^4 * 7^3 * 11 * 13^2 is in the sequence as there are 6 distinct exponents; 1 through 6.

Prog

(PARI) is(n) = #Set(factor(n)[, 2]) == 6

Crossrefs

Cf. A001221, A001222, A006939, A051270, A059404, A071625, A118914, A181819, A182855, A323014, A323022, A323024, A323025, A323056.

Sequence in context: A216909 A173710 A258275 * A204349 A351171 A094910

Adjacent sequences: A324203 A324204 A324205 * A324207 A324208 A324209

Keyword

nonn,easy

Author

David A. Corneth, Feb 17 2019

Status

approved