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Results tagged with prime-numbers
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user 38620
Questions where prime numbers play a key-role, such as: questions on the distribution of prime numbers (twin primes, gaps between primes, Hardy–Littlewood conjectures, etc); questions on prime numbers with special properties (Wieferich prime, Wolstenholme prime, etc.). This tag is often used as a specialized tag in combination with the top-level tag nt.number-theory and (if applicable) analytic-number-theory.
6
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0
answers
664
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Show this number always is composite number
Conjecture:
Let $m$ be a positive integer. Then
$$f(m)=(2m)^{2m+1}+m^{2m+1}\cdot (2m+1)^m+(2m+1)^{2m}$$
is not a prime number.
One can prove it when $m$ is odd number, it is clear that $f(m) …
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