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18 (another Prime Pages' Curiosity) |
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Single Curio View: (Seek other curios for this number) 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]
Submitted: 2003-12-25 06:31:29; Last Modified: 2008-01-30 11:28:00.
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