Math+CS guru? Prove this conjecturetexify.com 2 pointsassane10113 years ago2 commentsSaveHideCopy link On HNP is the prime numbers setComments−cpa13yIt is a sum of even numbers, because they almost all all are powers of 2.The only element of the sum that can be odd is when p = k. This element is prime(0), which is 0 because 0 is not prime.Thus, the overall sum is necessarily even.It is easy to check that this sum is strictly larger than 2. Thus, it cannot be a prime number.What is this conjecture for?−gems13yWhat is the domain of $k$?
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It is a sum of even numbers, because they almost all all are powers of 2.
The only element of the sum that can be odd is when p = k. This element is prime(0), which is 0 because 0 is not prime.
Thus, the overall sum is necessarily even.
It is easy to check that this sum is strictly larger than 2. Thus, it cannot be a prime number.
What is this conjecture for?
What is the domain of $k$?