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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

Just showing those entries submitted by 'Opao': (Click here to show all)

Jason Funk © 2002
+ 3 is the smallest prime such that if F(p) = 2*p^2-1, then F(3), F(F(3)), and F(F(F(3))) are all primes. [Opao]

+ The only twin prime triplet starts at 3. I.e., 3+2 and 3+2+2 are also prime. [Opao]

+ The only cousin prime triplet starts at 3. I.e., 3+4 and 3+4+4 are also prime. [Opao]

+ The only value of p such that p and p + 2 are twin primes and p(p + 2) + p - 1 and p(p + 2) + p + 1 are also twin primes. [Opao]




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