Goldston, who was sent a copy of the paper, says he and the other researchers who have seen it "are feeling pretty good" about it. "Nothing is obviously wrong," he says.
t's a result only a mathematician could love. Researchers hoping to get '2' as the answer for a long-sought proof involving pairs of prime numbers are celebrating the fact that a mathematician has wrestled the value down from infinity to 70 million.
"That's only [a factor of] 35 million away" from the target, quips Dan Goldston, an analytic number theorist at San Jose State University in California who was not involved in the work. "Every step down is a step towards the ultimate answer."
I don't know if anyone noticed this, but the proof of the ternary Goldbach conjecture implies that every even number greater than twelve can be expressed as the result of no more than six primes.
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