There are various method to find prime numbers but not efficient to calculate the large prime integers of 40 digit in fraction of time. Even many system are not supporting more than 11-18 digit integer. I tried to find it through C/C++ and Matlab even I used JAVA using biginteger but I am unable to find this large primes.  

Some 40 digits prime integer are available on net and some other prime calculator are there which generates prime integers immediately but those are manual. For my work I need some special prime which are derived from primes, so that i can recheck the derived integer from a prime integer whether a prime or not. So I need a powerful tool or program for generating and checking large prime integer within second of time. If somebody knows please kindly post the solution.

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