Problems & Puzzles: Puzzles

Puzzle 445. Consecutive integers with prime SPF

JM Bergot sent the following nice question:

Take 197,198,199. The factors extended for
198=2*3*3*11 with sum 19. Since both 197 and 199
are prime, these three consecutive numbers each have
the sum of their prime factors being a prime.
How many consecutive numbers can you find with this

Carlos Rivera found an example of 10 consecutive numbers with this property, starting on 896531141.

Questions: Can you get larger rows of these?



J. K. Andersen wrote (May 08):

The first case of 11 numbers starts at 183208285259.


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