Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #24 May 08 2021 02:25:47
%S 0,4,0,90,675,1134,6318,4374,32805,255879,1003833,531441,327544803,
%T 20751953125,225830078125,91552734375,1068115234375,23651123046875,
%U 316619873046875,1697540283203125,13256072998046875,85353851318359375,541210174560546875,4518032073974609375,58233737945556640625
%N Smallest term of A337081 that has exactly n prime factors, or 0 if no such term exists.
%C 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).
%Y Cf. A337113 (factors of terms).
%Y Cf. A337037, A337080, A337081.
%Y Cf. A056472 (all factorizations of n).
%Y 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).
%K nonn
%O 1,2
%A _Matej Veselovac_, Aug 16 2020
%E a(14) onward from _David A. Corneth_, Aug 26 2020