Abstract. The numbers 242206083 · 2 38880 ± 1 are twin primes. The number p = 2375063906985 · 2 19380 − 1 is a Sophie Germain prime, i.e. p and 2p + 1 are both primes. For p = 4610194180515 · 2 5056 − 1, the numbers p, p + 2 and 2p + 1 are all primes.
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