This is the 15th Mills' number.
https://mathworld.wolfram.com/MillsPrime.html
https://oeis.org/A108739
http://factordb.com/index.php?id=1100000007022314636

The fully expansion of this PRP is (((((((((((1361^3+6)^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220)^3+66768)^3+300840)^3+1623568)^3+8436308
As all Mills' numbers - it is the cube of the previous Mills' number + 8436308 P14^3+8436308
where P14 = ((((((((((1361^3+6)^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220)^3+66768)^3+300840)^3+1623568
and then the previous Mills' number is Mills(3,30,6,80,12,450,894,3636,70756,97220,66768,300840,1623568)

To be completed...