Product Of Ones
Thirty-seven is the smallest number we can multiply three by to produce a product consisting entirely of ones, 37 3 = 111.
What is the smallest number you can multiply seven by to produce a product consisting entirely of ones?
One method is to divide numbers in the sequence 111, 1111, 11111, ... , searching for an integral quotient.
|= 15873||being the first such value.|
Thirty-seven was the smallest number to multiply three to produce a product consisting of ones. What is the next such number?
Can you generalise?
What about for seven?