The nth Prime Page will now find any of the first 2.623˙1015 primes or π(x) for x up to 1017.
Note the primes are colored red.
The smallest number C of the form 2a^2 such that C+1 and C-1 are both prime. [Hartley]
18 is the largest value of n less than a thousand such that if L(n) = length of n in base 10, then 2*n^n+1, 2*L(n^n)+1, and 2*L(L(n^n))+1 are all primes greater than 3 (as the expression 2*L(L(L(...(L(x))...)))+1 will converge at 3 for sufficient repetitions of L given any value of x). [Opao]
18 is the only two-digit number m , such that three numbers, m + prime(m), m^2 + prime(m^2) & m^3 + prime(m^3), are primes. [Firoozbakht]
18 equals the product of its prime divisors plus the product of their factorials. [Silva]
The difference between any emirp pair is divisible by 18. [Green]
(There are 8 curios for this number that have not yet been approved by an editor.)
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