Used pfgw: 2^41306+1789 is 3-PRP! (46.740000 seconds)
Confirmed using PrimeForm v0,4:
1789+2^41306 is probable prime! (a = 35533) (digits:12435)
1789+2^41306 is probable prime! (verification : a = 35537) (digits:12435)

Used pfgw: 2^68307+773 is 3-PRP! (156.920000 seconds)
Confirmed using PrimeForm v0,4:
773+2^68307 is probable prime! (a = 35543) (digits:20563)
773+2^68307 is probable prime! (verification : a = 35573) (digits:20563)

To be completed...