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A337112 Smallest term of A337081 that has exactly n prime factors, or 0 if no such term exists. 2
0, 4, 0, 90, 675, 1134, 6318, 4374, 32805, 255879, 1003833, 531441, 327544803, 20751953125, 225830078125, 91552734375, 1068115234375, 23651123046875, 316619873046875, 1697540283203125, 13256072998046875, 85353851318359375, 541210174560546875, 4518032073974609375, 58233737945556640625 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
a(n) is the smallest product of n primes that has unordered factorizations whose sums of factors are the same (is a term of A337080) and all of whose proper divisors have the complementary property: that every unordered factorization has a distinct sum of factors (i.e., all proper divisors are terms of A337037).
LINKS
CROSSREFS
Cf. A337113 (factors of terms).
Cf. A056472 (all factorizations of n).
Cf. r-almost primes: A000040 (r = 1), A001358 (r = 2), A014612 (r = 3), A014613 (r = 4), A014614 (r = 5), A046306 (r = 6), A046308 (r = 7), A046310 (r = 8), A046312 (r = 9), A046314 (r = 10), A069272 (r = 11), A069273 (r = 12), A069274 (r = 13), A069275 (r = 14), A069276 (r = 15), A069277 (r = 16), A069278 (r = 17), A069279 (r = 18), A069280 (r = 19), A069281 (r = 20).
Sequence in context: A358294 A298616 A366828 * A357560 A013037 A129814
KEYWORD
nonn
AUTHOR
Matej Veselovac, Aug 16 2020
EXTENSIONS
a(14) onward from David A. Corneth, Aug 26 2020
STATUS
approved

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Last modified February 23 15:29 EST 2024. Contains 370283 sequences. (Running on oeis4.)