There is little doubt that of all unsolved problems of mathematics the most widely known and most often attempted is that known as Fermat's Last Theorem.
J111 The integer \(M\) consists of 100 threes and the integer \(N\) consists of 100 sixes. What digit occurs in the product \(MN\)?
J101 If \(n\) is a positive integer other than 2, 3 or 5, then any square can be dissected into \(n\) smaller squares.
J. D. Gray
The playing of games has its origins in antiquity - the ancient Romans, Greeks and Chinese all played games of varying degrees of difficulty.
J121 The numbers \(a\),\(b\),\(c\),\(d\) and \(e\) are consecutive integers, each smaller than 10,000.
J111 The integer \(M\) consists of 100 threes and the integer \(N\) consists of 100 sixes. What digit occurs in the product \(MN\)?
are integers such that are both divisible by 7. Prove that both are both divisible by 7.