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(just those submitted by Firoozbakht)
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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 'Firoozbakht': (Click here to show all)

+ All the solutions of n = pi(2n) are nonnegative integers less than 5. [Firoozbakht]

+ For the first five primes we have prime(2)*prime(4) - prime(1)*prime(3) = prime(5). It's interesting that we also have 2*4 - 1*3 = 5. [Firoozbakht]

+ pi(1) + pi(2) + pi(3) + pi(4) + pi(5) = phi(1 + 2 + 3 + 4 + 5). It is the only number with this property. [Firoozbakht]




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