prime of the form

a*k+f
with k and f primes or PRPs
and k=(c*d-1)*(c*e-1)*g-2
with c and g primes

sample

10^10000*((23*10-1)*(23*(10^400+1370)-1)*1103-2)+56249=10^10000*(229*(23*(10^400+1370)-1)*1103-2)+56249

PARI gp ispseudoprime

To be completed...