Year 1968 - Volume 5

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.

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J111 The integer M consists of 100 threes and the integer N consists of 100 sixes. What digit occurs in the product MN?

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J101 In n is a positive integer other than 2,32,3 or 55, any square can be dissected into n smaller squares.

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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.

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J121 The numbers a,b,c,d and e are consecutive integers, each smaller than 10,000.

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J111 The integer M consists of 100 threes and the integer N consists of 100 sixes. What digit occurs in the product MN?

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a , b are integers such that  a 2 + b 2 are both divisible by 7. Prove that both  a , b are both divisible by 7.

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