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 157 , 163
including trial-division to : 5028992
custom code : strongly-probable prime to prime bases 3096811 ,
3096827 , 3096889 , 3096911 , 3096913 , and 3096917 .
Define np ( n1 ) = n1^n1 + (n1+1)^(n1+1) .
Let a = 11639 .
Let p = np ( a ) / ( 328367027 * 24073627267 ) .
p is a 47309-digit strongly-probable prime .
p*(p-1) + a has 94618 digits .
np ( p*(p-1) + a ) has more .
p divides np ( p*(p-1) + a ) .

To be completed...