Number Theory Find the maximum possible value of the natural number m <= (less than or equal) 2021 such that
there exists a natural number n where all the numbers in the set {1,2,m}
divides n except exactly three consecutive numbers.​
(Need full steps or a photo for the steps).

Mozart lenses inc. recently introduced seelites, a thinner lens for eyelasses. of a sample of 800 eyeglass wearers, 246 said they would purchases their next pair of eyeglasses with the new lenses. lenses inc. estimates that the number of people who purchase eyeglasses in a year is 1,700,000. most eyeglasses wearer buy one new pair of eyeglasses a year. what is the annual sales potential for the new lenses.

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Write the equation in logarithmic form e^x=403.429