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30 January, 19:49

If least prime factor of p is 3 and least prime factor of q is 5, then what is least prime factor of (p+q) ?

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  1. 30 January, 20:03
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    We conclude 2 isn't a factor of p or q (since their least factors are 3 and 5 respectively), i. e. p & q are both odd. So the sum is even and its least prime factor must be the smallest prime, 2.

    Answer: 2
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