SOLUTION: i am a prime number and my neighbour is also a prime number when cube of mine is added to the square of my neighbour you get another prime number. who am i?

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Question 880729: i am a prime number and my neighbour is also a prime number when cube of mine is added to the square of my neighbour you get another prime number. who am i?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
i am a prime number and my neighbour is also a prime number when cube of mine is added to the square of my neighbour you get another prime number.
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Most prime numbers are odd.
The square and the cube of an odd number are odd numbers.
The sum of 2 odd numbers is an even number, so one of the numbers has to be even.
2 is the only even prime number.
--> 2 & 3