perplexus.info :: Numbers : Primes and factors

Primes and factors (Posted on 2017-03-17)

The first 2 consecutive whole numbers each having 2 distinct prime factors are 14=2×7 and 15=3×5.

The first 2 consecutive whole numbers each having 3 distinct prime factors are 230=2×5×23 and 231=3×7×11.

The first 3 consecutive whole numbers each having 3 distinct prime factors are 644=2²×7×23, 645=3×5×43 and 646=2×17×19.

Find the first 3 consecutive whole numbers each having 5 distinct prime factors.

Submitted by Ady TZIDON

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Solution: (Hide)

The smallest triple is:
1042404=2*2*3*11*53*149
1042405=5*7*13*29*79
1042406=2*17*23*31*43

Charlie's findings broaden the problem's scope

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
computer solution carried beyond	Charlie	2017-03-17 10:23:55
computer search	Daniel	2017-03-17 10:00:34

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