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spayn [35]
2 years ago
14

P is a prime number. Show that p²+6 could be either even or odd

Mathematics
1 answer:
storchak [24]2 years ago
6 0

<em>p</em> ² + 6 is even if <em>p</em> ² is even (the sum of two even numbers is even), and this happens only if <em>p</em> itself is even, i.e. if <em>p</em> = 2 since 2 is the only even prime.

All other primes <em>p</em> are odd, so <em>p</em> ² would be odd, and adding 6 would not change that (odd + even = odd).

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