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 79 , 97
including trial-division to : 2742880
custom code : strongly-probable prime to prime bases 2185541 ,
2185567 , 2185577 , 2185619 , 2185637 , 2185649 and another .
Define np ( n1 ) = n1^n1 + (n1+1)^(n1+1) .
Let a = 6748 .
Let p = np ( a ) /
( 3 * 5 * 109 * 11311 * 15180751^2 * 10882287380783269093 ) .
p is an 25803-digit strongly-probable prime .
p*(p-1) + a has 51606 digits .
np ( p*(p-1) + a ) has more .
p divides np ( p*(p-1) + a ) .

To be completed...