What is the largest number $k$ less than 1000 such that the remainder is 1 when $k$ is divided by each of 3, 4, 5, 6, and 7?
You can start from 999 and continue down until you found a number that meets the requirment. 999 wouldn't work because when divided by 3, there is no remander. I'm sure it will not take too long.
What is the largest number less than 1000 such that the remainder is 1 when is divided by each of 3, 4, 5, 6, and 7?
My submission is 841. I multiplied 4 x 5 x 6 x 7 and got 840 then added 1.
I didn't multiply by 3 because that ends up over a 1000 and anyway the 6 took care of the 3.
