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A324208 Numbers with exactly eight distinct exponents in their prime factorization, or eight distinct parts in their prime signature. 0
25968760179275365452000000, 29023908435660702564000000, 30690352939143613716000000, 31435867585438600284000000, 33959147926744708668000000, 34300982696689921212000000, 36356264250985511632800000, 37151479873700163972000000, 38953140268913048178000000, 39267640824717421116000000 (list; graph; refs; listen; history; text; internal format)
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: A217416 A133849 A343357 * A281907 A246288 A246255

Adjacent sequences:  A324205 A324206 A324207 * A324209 A324210 A324211

KEYWORD

nonn

AUTHOR

David A. Corneth, Feb 17 2019

STATUS

approved

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Last modified July 24 14:51 EDT 2021. Contains 346273 sequences. (Running on oeis4.)