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Anton

4. There would be no pairs, since we know that 10^1234+1 is odd, so one of the primes has to be 2, and the other is 10^1234-1. We can let p = 2, and q = 10^1234-1. p + q = 10^1234+1, which is not equal to 3^10 +1， so there are no pairs that work. Quick, question, how do we show “Not equal to”