binary form of the exponents 69660, 92020, 541456
pg(69660), pg(92020) and pg(541456) are probable primes with 69660, 92020 and 541456 multiple of 86
69660 in binary is 10001000000011100
92020 in binary is 10110011101110100
541456 in binary is 10000100001100010000
you can see that the number of the 1's is always a multiple of 5
a chance?
