Quote:
Originally Posted by PawnProver44
well the point is that for any x value (greater that 15) there should be a prime of the form 3^x+10^y, where y is less than x.

x=34, 62, 70, 80, 92, 100, 105, 113, 117, 120, 121, 123, 141, 145, 159, ...
What is the thesis again? Why do you believe it is true? What's the point?
For stuff like this where you're just stating random assertions with no basis, you probably don't need a proof (since finding one prime doesn't *mean* anything), but should at least say something like "is a BPSW PRP" or "passes BPSW, FrobeniusUnderwood, and MR with bases 3,5,7" or something. The latter is awfully convincing and only takes ~4 seconds for your x=8084 example. You can go do a real proof once there is a *point*.