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?

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) (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.
------------
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
RELATED QUESTIONS
im a real number,thrice of me gives you a perfect cube while the square root of mine... (answered by htmentor)

"I'm a product of four prime numbers. My three digits are all prime and different. The... (answered by Edwin McCravy)

i am a number less than 100, i am a product of two prime numbers. if you reverse my... (answered by ankor@dixie-net.com)

the cube of a number added to the sum of three times the number and 9 is a prime number (answered by ankor@dixie-net.com)

The sum of my ones digit and tens digit is 10. My tens digit is less than my ones digit... (answered by Edwin McCravy)

i am a two digit prime number the product of my digits is 24 what number am... (answered by mananth)

I am a number between 6 and 150. I am one more than a square number. The sum of my... (answered by Edwin McCravy)

Last question... What's my number? To find my number take 1 fewer than the square of... (answered by KMST,Edwin McCravy)

I am a number between 16 and 30. The product of my two prime factors is 6. I have an even (answered by MathLover1)