PARI GP is pseudoprime
a=12243148
b=a^9+3*a^8+5*a^7+7*a^6+9*a^5+11*a^4+13*a^3+15*a^2+17*a+19
c=19*a^9+17*a^8+15*a^7+13*a^6+11*a^5+9*a^4+7*a^3+5*a^2+3*a+1
d=a^10+3*a^9+5*a^8+7*a^7+9*a^6+11*a^5+13*a^4+15*a^3+17*a^2+19
e=a^11+3*a^10+5*a^9+7*a^8+9*a^7+11*a^6+13*a^5+15*a^4+17*a^3+19*a^2+21

b,c,d,e are primes

To be completed...