prime of the form a^b+c

with
c=f+1 f=prime
a=(d+1)*d/2-d

Program to find d:
d=0;forprime(p=100,k,print(" ",d=d+1," "))

sample

default(primelimit,268289000)
d=0;forprime(p=100,268288000,print(" ",d=d+1," "))

d=14623178
a=14623179*14623178/2-14623178=106918660098253

PARI gp ispseudoprime

To be completed...