39819...75999 (32-digits)

This number is a prime.

                                         39 8195075416 1974468631 0424575999

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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]

Submitted: 2026-11-01 09:02:14;   Last Modified: 2026-11-01 14:03:29.
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