GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] : PRP
factordb.com : PRP to bases 2 , 3 , 5 , 7
PrimeForm v. 0.4 Upd.4 : PRP to bases 101 , 131
including trial-division to : 3625504
custom code : strongly-probable prime to prime bases
3448171 , 3448189 , 3448243 , 3448259 , 3448267 , and 3448273 .
Define np ( n1 ) = n1^n1 + (n1+1)^(n1+1) .
Let a = 8669 .
Let p = np ( a ) / ( 9866986469 * 881937130663 * 644977505501233 ) .
p is a 34106-digit strongly-probable prime .
p*(p-1) + a has 68212 digits .
np ( p*(p-1) + a ) has more .
p divides np ( p*(p-1) + a ) .

To be completed...