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The question - with the second alternative - is tautological (m = n).

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Q: Why is a number 6 times n plus 1 a prime number or a product of a number 6 times m plus 1 or a product of a number 6 times k minus 1?
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Related questions

What is a minus times a minus?

The product is positive


Why is a number 6 times n - 1 a prime number or a product of a number 6 times m - 1?

Either it is a prime or put m = n! Is that it?


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