Volley of Questions

     Here are a set of questions. Try to figure out the answer: 

     Is there a largest pair of win primes? 


      Is there always at least one prime between two successive perfect squares? 

      Is there a largest even perfect number? 

      Is there a formula in terms of N, where N is any natural number that will only generate primes for all N    

       Is Fermat’s last theorem true or false? His last theorem states that ‘the equation xⁿ + yⁿ = 2ⁿ where ‘n’ is an integer greater than two, has no solution in positive integers.

                Is it possible that somewhere in the decimal approximation for pi there occur seven consecutive seven e.g. = 3.14159….7777777

    Is it possible that every even number greater than two can be written as the sum of exactly two primers?  

         Is it possible that if the ratio of the number of twin primes less than N to the number of primers less than N approaches some limit as n gets larger and larger? 

i)                 Is it possible that the series of Messene primes continues for ever, or has a largest member?

        What is the best way to pack the most spheres into a given container with a given volume?

         Is it possible that there exist maps that requite five different colours so that two countries with a common boundary have different colours?

l)              Is it possible that there are odd perfect numbers/ 

      Is it possible that there exist a pair of available numbers of opposite parity- one odd, one even?

Answer:  No one knows!