## PRP Records

### 906705*2*((10^86453-1)/9)+1

PRPs of n*2*(The Repunit Prime)+1 have applications for finding primes & factors. 11 is a Repunit prime & an example. 21649*2*((10^2-1)/9)+1 is 6 digits & prime while (10^((10^2-1)/9)-1)/9 has a factor of 21649. If (10^19-1)/9 & 295764*2*((10^19-1)/9)+1 are primes, then in theory 295764*2*((10^19-1)/9)+1 could be tested to see if it’s a factor of (10^((10^19-1)/9)-1)/9, which has 1,111,111,111,111,111,111 digits.

To be completed...

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