SOLUTION: I am trying to find the intersection of the sets of types of primes and so I am going up to 12 digit primes to be sure I find an intersection. I need the first 12 digit multiples o

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Question 852671: I am trying to find the intersection of the sets of types of primes and so I am going up to 12 digit primes to be sure I find an intersection. I need the first 12 digit multiples of:
3, 4, 5, 6, and 7

Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
I'll just do the one for 7.  The others are done exactly
the same way:


To find the smallest 12 digit multiple of 7,
Let the number to multiply 7 by to get a 12-digit 
number be n.  Then

7n ≧ 100000000000

Divide both sides by 7

n ≧ 14285714285.714···

[if you need a calculator that shows that many digits,
there is one online here: http://web2.0calc.com/  ]  

The smallest integer n that fits that is

n = 14285714286

Answer: 7×14285714286 = 100000000002

Repeat the above procedures with 3,4,5, and 6 to get the others.

Edwin