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Old 2019-03-09, 14:40   #5
"Dana Jacobsen"
Feb 2011
Bangkok, TH

2·11·41 Posts

Sigh, I now realize this was a test for the OP to show how well his method works. Well, ok um you can use the rest of this as a comparison I guess.

Originally Posted by bbb120 View Post
please tell me the least twin primes which great than 10^1000
10^1000 + 9705091 is the smaller of the pair.

I'm sure it's online somewhere. It took about 2 minutes for my Macbook to find it. They are ES BPSW, and then I let Pari/GP prove them, a little over 1 minute each.

The software I used have chosen 80000 * log2(high) as the depth, purely because empirically that seemed to work well at a variety of sizes. Each candidate that passes this sieve is subjected to MR base 2 for both low and high, then ES Lucas for both low and high. It took 2.5 seconds for a width of 1e5, 13s for 1e6, 124s for 1e7 where it found one (I just ran it multiple times with a bigger window, redoing the previous part).

Last fiddled with by danaj on 2019-03-09 at 14:48
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