5   P=1
10   while P<9999999999 and P>0
20     P=nxtprm(P)
30     N=17*P+625
40     Sr=int(sqrt(N)+0.5)
50     if Sr*Sr=N then print P;
60   wend

finds only 3 and 67 by the time the program was stopped at p = 82,150,333.