SOLUTION: 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 you
Algebra.Com
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
RELATED QUESTIONS
find the three consecutive positive odd integers such that the product of the first and... (answered by josgarithmetic)
The product of the first and third of three negative consecutive integers is 59 more than (answered by ikleyn,mananth,Edwin McCravy)
Find three consecutive integers such that the product of the first and the third is... (answered by ewatrrr)
Factor 140 into the product of... (answered by galactus)
Find three consecutive even integers such that the product of the first and third is... (answered by Alan3354)
find three consecutive integers such that the product of the first two is 48
(answered by CubeyThePenguin)
The equation y=-1777x+27,153 can be used to predict the number y of gun deaths in the... (answered by jojo14344)
What is the smallest integer that is the sum of three different primes each of which is... (answered by Boreal,ikleyn)
Find three consecutive integers such that the product of the first two plus the product... (answered by ReadingBoosters)