A192929 - OEIS

A192929

Least highly abundant number with n distinct prime factors.

1, 2, 6, 30, 210, 4620, 120120, 4084080, 116396280, 2677114440, 310545275040, 14440355289360, 1068586291412640, 114873026326858800, 9419588158802421600, 442720643463713815200, 54011918502573085454400, 8587895041909120587249600

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OFFSET

0,2

COMMENTS

a(n) is the least number in sequence A002093, with A001221(a(n)) = n.

REFERENCES

S. S. Pillai, Highly abundant numbers, Bull. Calcutta Math. Soc., 35, (1943), 141-156.

LINKS

Table of n, a(n) for n=0..17.

L. Alaoglu and P. Erdős, On highly composite and similar numbers, Trans. Amer. Math. Soc., 56 (1944), 448-469.

Wikipedia, Highly abundant number

CROSSREFS

Cf. A001222, A002093, A225194.

Sequence in context: A185693 A093449 A083002 * A375534 A077176 A101178

Adjacent sequences: A192926 A192927 A192928 * A192930 A192931 A192932

KEYWORD

nonn

AUTHOR

Enrique Pérez Herrero, Jul 12 2011

STATUS

approved