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Primes and factors (Posted on 2017-03-17) Difficulty: 4 of 5
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.

No Solution Yet Submitted by Ady TZIDON    
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computer search | Comment 1 of 2
the first instance I found was:
1042404=2^2*3*11*53*149
1042405=5*7*13*29*79
1042406=2*17*23*31*43

  Posted by Daniel on 2017-03-17 10:00:34
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