Least primordial-product number m such that there are n triples (a,b,c) with all a+b+c = k1 and all a*b*c = k2, where k1 and k2 are two constants and k1 is prime.
4, 36, 5400, 25200, 277200, 4989600, 28828800, 643242600, 857656800, 15437822400, 48886437600, 749592043200, 733296564000, 1466593128000, 195643523275200
1
A primordial-product number is the product of primordial numbers. See A025487 for primordial numbers. Though somewhat different, this sequence is related to the sequence discussed in Puzzle 833.
T. D. Noe, Plot of 15 terms
Carlos Rivera, Puzzle 833: A special set of integers
(Mma) (* program is here *)
nonn,hard
T. D. Noe, Jun 15 2016