> I suppose that there must be an infinite number of sphenic triplets; I cannot see why there should be an upper limit.
It looks to me like they get more frequent as you go up; I’ve seen lots of adjacent pairs of triplets go past, and even the occasional adjacent triple of triplets:
9000000000040781 = 15359 x 477229 x 1227871
9000000000040782 = 2 x 3 x 253823
9000000000040783 = 421 x 911 x 9871
9000000000040785 = 3 x 5 x 103
9000000000040786 = 2 x 11 x 41
9000000000040787 = 31 x 157 x 173
9000000000040789 = 257 x 12227 x 2864108551
9000000000040790 = 2 x 5 x 13
9000000000040791 = 3 x 7 x 16267007
(I’m only looking at ranges just above round numbers, because my lifespan is finite)
> I suppose that there must be an infinite number of sphenic triplets; I cannot see why there should be an upper limit.
It looks to me like they get more frequent as you go up; I’ve seen lots of adjacent pairs of triplets go past, and even the occasional adjacent triple of triplets:
9000000000040781 = 15359 x 477229 x 1227871
9000000000040782 = 2 x 3 x 253823
9000000000040783 = 421 x 911 x 9871
9000000000040785 = 3 x 5 x 103
9000000000040786 = 2 x 11 x 41
9000000000040787 = 31 x 157 x 173
9000000000040789 = 257 x 12227 x 2864108551
9000000000040790 = 2 x 5 x 13
9000000000040791 = 3 x 7 x 16267007
(I’m only looking at ranges just above round numbers, because my lifespan is finite)