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Jan 24, 2018 at 20:54 comment added Sylvain JULIEN An interesting thing is that $ \log 6469693230 $ is quite close to $ 106/\log 106 $ .
Jan 24, 2018 at 18:53 comment added Aaron Meyerowitz For the first nine primes one has that $82339-76729=277^2$ and the sum is prime. No other examples with 10-20 primes. There are three more examples with smaller numbers of primes.
Jan 24, 2018 at 16:04 comment added Gerhard Paseman If one represents the prime powers as c and d, there are some mod 8 obstructions on the pair (c,d) (and maybe interesting obstructions mod m for some m), which may strongly limit the search space for such examples. Gerhard "Power Searching For Prime Powers" Paseman, 2018.01.24.
Jan 24, 2018 at 15:50 history edited Aaron Meyerowitz CC BY-SA 3.0
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Jan 24, 2018 at 15:33 comment added Aaron Meyerowitz Turns out not. I wonder about other small cases.
Jan 24, 2018 at 15:32 history edited Aaron Meyerowitz CC BY-SA 3.0
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Jan 24, 2018 at 15:19 comment added Gerhard Paseman 106 is more than I would have guessed for that problem. Any examples for the pure category? Gerhard "Needs Prime Sums Intuition Readjusted" Paseman, 2018.01.24.
Jan 24, 2018 at 15:12 history edited Aaron Meyerowitz CC BY-SA 3.0
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Jan 24, 2018 at 10:51 vote accept Sylvain JULIEN
Jan 24, 2018 at 6:27 history answered Aaron Meyerowitz CC BY-SA 3.0