Question 606787: 2006 is the product of three primes, 2 × 17 × 59.
Find the first year that occurs after 2006,
which is the product of three consecutive primes.
Show or explain how you got your answer.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Trial and error.
The average of 2, 17, and 59 is 26. Three consecutive primes in that vicinity are 23, 29, and 31: Product >20,000.
Looked at 7, 11, 13: Product 1001, too small
Looked at 13, 17, 19: Product 4199, candidate but possibly too large
Looked at 11, 13, 17: Product 2431 the answer.
John
My calculator said it, I believe it, that settles it
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