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N+1 to N+5 (Posted on 2024-05-30) Difficulty: 3 of 5
Find the smallest integer N such that N+1 is a prime, N+2 is the product of 2 primes, N+3 is the product of 3 primes, N+4 is the product of 4 primes and N+5 is the product of 5 primes.

No Solution Yet Submitted by K Sengupta    
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Some Thoughts re: computer solution | Comment 2 of 3 |
(In reply to computer solution by Charlie)

The factorization for 15123, 15124, and 15125 are:
15123 = 3x71x71
15124 = 2x2x19x199
15125 = 5x5x5x11x11

Can a solution be found whereby all the four numbers can  be expressed as product of distinct prime numbers?

  Posted by K Sengupta on 2024-05-30 23:09:42
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