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2^2*3^3*7^7*347^347-1 is the largest non-titanic prime of form 2^2*3^3*7^7*347^347*...* a(n-1)^a(n-1)*a(n)^a(n)-1, where n, a(n) and 2^2*3^3*...*a(n)^a(n) – 1 are prime, a(n)>a(n-1), and a(n) is minimal. Note that the previous such primes are: a(1) = 2^2-1 = 3, a(2) = 2^2*3^3-1 = 107, a(3) = 2^2*3^3*7^7*-1 = 88942643. [Loungrides]

 

  Submitted: 2015-04-05 08:42:52;   Last Modified: 2016-06-25 08:25:01.



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