Safe and Sophie Germain primes

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Safe and Sophie Germain primes is a draft programming task. It is not yet considered ready to be promoted as a complete task, for reasons that should be found in its talk page.

A prime number p is Sophie Germain prime if 2p + 1 is also prime.

The number 2p + 1 associated with a Sophie Germain prime is called a safe prime.

Task

Generate the first   100   Sophie Germain prime numbers.