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A359961 Smallest Zuckerman number (A007602) with exactly n distinct prime factors. 2
1, 2, 6, 132, 3276, 27132, 1117116, 111914712, 6111417312, 1113117121116, 1112712811322112, 11171121131111172 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Giovanni Resta, Zuckerman numbers, Numbers Aplenty.
Eric Weisstein's World of Mathematics, Distinct Prime Factors.
EXAMPLE
3276 = 2^2*3^2*7*13 is the smallest integer with 4 distinct prime factors that is also Zuckerman number as 3276 / (3*2*7*6) = 13, so a(4) = 3276.
PROG
(PARI) a(n) = my(k=1); while (!(p=vecprod(digits(k))) || (k % p) || (omega(k) != n), k++); k; \\ Michel Marcus, Jan 21 2023
CROSSREFS
Similar: A060319 (Fibonacci), A083002 (oblong), A359960 (Niven).
Sequence in context: A181316 A101753 A288185 * A274695 A156515 A254223
KEYWORD
nonn,base,more
AUTHOR
Bernard Schott, Jan 21 2023
EXTENSIONS
a(6)-a(7) from Michel Marcus, Jan 21 2023
a(8)-a(9) from Daniel Suteu, Jan 21 2023
a(10)-a(11) from Bert Dobbelaere, Jan 29 2023
STATUS
approved

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Last modified April 20 12:18 EDT 2024. Contains 371839 sequences. (Running on oeis4.)