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The largest known Newman–Shanks–Williams prime is equal to ((1 + √2)9,679 + (1 − √2)9,679) / 2, which is 3,705 digits long; it has been discovered on July 17, 2001.[1]

The largest known Newman–Shanks–Williams probable prime is equal to ((1 + √2)172,243 + (1 − √2)172,243) / 2, which is 65,931 digits long; it has been discovered on January 15, 2007.[2]

Sources[]

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