A324208 Numbers with exactly eight distinct exponents in their prime factorization, or eight distinct parts in their prime signature.

25968760179275365452000000, 29023908435660702564000000, 30690352939143613716000000, 31435867585438600284000000, 33959147926744708668000000, 34300982696689921212000000, 36356264250985511632800000, 37151479873700163972000000, 38953140268913048178000000, 39267640824717421116000000

Offset

1,1

Links

Table of n, a(n) for n=1..10.

Example

29023908435660702564000000 = 2^8 * 3^7 * 5^6 * 7^5 * 11^4 * 13^3 * 17 * 19^2 is in the sequence as there are exactly 8 distinct exponents; 1 through 8.

Prog

(PARI) is(n) = #Set(factor(n)[, 2]) == 8

Crossrefs

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

Sequence in context: A358418 A133849 A343357 * A281907 A246288 A246255

Adjacent sequences: A324205 A324206 A324207 * A324209 A324210 A324211

Keyword

nonn

Author

David A. Corneth, Feb 17 2019

Status

approved