Each of p and 8p -1 is a prime number.
Is 8p+1 a prime number?
- If so, provide an example.
- If not, prove it.
Computer program and spreadsheet aided methodologies are welcome, but an analytical solution is preferred.
*** Adapted from a problem appearing in a Russian Mathematical Olympiad.
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A prime number only has two factors: one and itself. A composite number is made up word wipe of at least three components, and occasionally many more.