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Aug 21, 2013 at 1:15 comment added Lucia It's a little easier than Hardy-Littlewood since one has to sieve just half the primes out. But in practice it seems equally impossible!
Aug 21, 2013 at 0:03 comment added David E Speyer Thanks! Do you think this is actually as hard as Hardy-Littlewood? "Is a norm from $K$" is more common than "is prime" and I had the idea this would make it easier to sieve for. But my knowledge of sieve methods is essentially nonexistent.
Aug 21, 2013 at 0:01 vote accept David E Speyer
Aug 20, 2013 at 23:33 history answered Lucia CC BY-SA 3.0