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## 13.1 Generation

- Function:
*gcry_error_t***gcry_prime_generate***(gcry_mpi_t **`prime`,unsigned int`prime_bits`, unsigned int`factor_bits`, gcry_mpi_t **`factors`, gcry_prime_check_func_t`cb_func`, void *`cb_arg`, gcry_random_level_t`random_level`, unsigned int`flags`) -
Generate a new prime number of

`prime_bits`bits and store it in`prime`. If`factor_bits`is non-zero, one of the prime factors of (`prime`- 1) / 2 must be`factor_bits`bits long. If`factors`is non-zero, allocate a new,`NULL`

-terminated array holding the prime factors and store it in`factors`.`flags`might be used to influence the prime number generation process.

- Function:
*gcry_error_t***gcry_prime_group_generator***(gcry_mpi_t **`r_g`, gcry_mpi_t`prime`, gcry_mpi_t *`factors`, gcry_mpi_t`start_g`) -
Find a generator for

`prime`where the factorization of (`prime`-1) is in the`NULL`

terminated array`factors`. Return the generator as a newly allocated MPI in`r_g`. If`start_g`is not NULL, use this as the start for the search.

- Function:
*void***gcry_prime_release_factors***(gcry_mpi_t **`factors`) -
Convenience function to release the

`factors`array.

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