39819...75999 (32-digits)

This number is a prime.

                                         39 8195075416 1974468631 0424575999

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

+ The power towers of first k (consecutive) primes: 2 , $(2^3)$ , $(2^3^5)$ , $(2^3^5^7)$ , ... , $(2^3^5^7^11^.^.^.^103^107)$ (mod 39819507541619744686310424575999) give 28 distinct residues. This is the "world record" for most distinct residues generated through the power tower of first k (consecutive) primes in comparison with the size of its modulus. Much larger modulus would give the 28 distinct residues, but here off course the smaller the modulus the more impressive. [Tolgede]

Printed from the PrimePages <t5k.org> © G. L. Honaker and Reginald McLean