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

Author

David A. Corneth, Feb 17 2019

Keywords

• nonn

Examples

			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.
		

Crossrefs

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

Programs

PARI

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