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Topic: Hardy & Littlewood's Partitio Numerorum III, Conjecture H
Replies: 3   Last Post: Jun 24, 2002 12:30 AM

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Jpr2718

Posts: 397
Registered: 12/8/04
Hardy & Littlewood's Partitio Numerorum III, Conjecture H
Posted: Jun 22, 2002 10:08 PM
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In Hardy & Littlewood's Partitio Numerorum III, Conjecture H is that every
sufficiently large integer is either a square or the sum of a square and a
prime. For n up to 3 million, the largest n that is not a square or a
square plus a prime is n = 21679.

Is this in the literature? Has anyone tested beyond 3 million (I expect that
they have)? Is there a specific conjecture as to what "sufficiently large" is
here (is it greater than 21679)?

John Robertson







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