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tmua.me Extreme Set A Paper 2 · Q17

Paper 2Algebra

How many composite positive integers NN have the following property?

For every pair of integers a,ba,b with a>1a>1 and b>1b>1, if ab=Nab=N, then a+ba+b is a factor of NN.

A00
B11
C22
D33
EInfinitely many

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