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Prime number forming device

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TLDR
In this article, a device which efficiently forms the prime numbers to be utilized in a cipher system is proposed. But the device is not suitable for the use of the prime number candidates.
Abstract
PROBLEM TO BE SOLVED: To provide a device which efficiently forms the prime numbers to be utilized in a cipher system. SOLUTION: Prime number candidates indivisible by the respective prime numbers below the prescribed prime number are formed and whether the formed prime number candidates are the prime numbers or not is decided. Any of the prime number candidates PE', PE1', PE2' and PE+' is formed (S1) in accordance with any of equations (A) to (D) and the formed prime number candidate is subjected to prime number decision by a probabilistic prime number decision method or deterministic prime number decision method (S3).

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Patent

Key generation device and program

TL;DR: In this article, an n r bit prime number R included as a prime divisor of the P-1 is generated at the start of key generation processing. And the same calculation is repeated until the P becomes a prime number, and the same process is performed also for Q.