Timeline for Gaussian prime spirals
Current License: CC BY-SA 3.0
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Mar 18, 2012 at 17:29 | comment | added | Terry Tao | Actually, my result unfortunately does not quite produce square cycles, because I cannot preclude the existence of primes on the edges of the square with prime corners. I can probably adapt the argument to exclude primes from a bounded number of places (by using a sieve to upper bound the exceptions), but the squares generated by the argument are quite large (the length of the square is comparable to the magnitude of the corners) and so it is actually rather likely that there are intervening primes somewhere along the edges. | |
Mar 17, 2012 at 16:05 | comment | added | Joseph O'Rourke | Beautiful observation that there are an infinite number of square cycles via Tao's result! | |
Mar 17, 2012 at 6:06 | history | edited | user22202 | CC BY-SA 3.0 |
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Mar 17, 2012 at 5:28 | history | answered | user22202 | CC BY-SA 3.0 |