bio | website | |
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location | ||
age | ||
visits | member for | 1 year, 2 months |
seen | Nov 17 at 10:59 | |
stats | profile views | 38 |
Oct 4 |
awarded | Informed |
Feb 22 |
awarded | Scholar |
Feb 22 |
accepted | Lines in image; are they significant to prime numbers if so how? |
Feb 19 |
revised |
Lines in image; are they significant to prime numbers if so how?
Tidy up. Slightly better 1st image as per suggestions. |
Feb 18 |
comment |
Lines in image; are they significant to prime numbers if so how?
@WillSawin, I think I get the general idea but small correction; $P_{i}$/6 is not always $\pm1/3$ + some integer. Ex. 11/6 = 1+5/6. |
Feb 18 |
comment |
Lines in image; are they significant to prime numbers if so how?
Hi @WillSawin. I want to accept this answer but your argument is not completely clear to me. Proof omitted, it's this?: For any prime number $P_{i}$, and some other +ve number d < $P_{i}$, there exists another number M < $P_{i}$ s.t. $P_{i}$/M = d + r where r element of $\pm{1/d,2/d,...,(d-1)/d}$. So for example for $P_{i}$=23, and d=4 we have 23/8 = 4-1/8. This leads to, where at say $\pi/2$ rads for each prime number there is only a small set of possible offsets from that vector the point can lie on $\pm{-1/4,-2/4-3/4,1/4,2/4,3/4}$, which gives the impression of a contour. |
Feb 18 |
revised |
Lines in image; are they significant to prime numbers if so how?
added 113 characters in body |
Feb 18 |
revised |
Lines in image; are they significant to prime numbers if so how?
added 301 characters in body |
Feb 18 |
comment |
Lines in image; are they significant to prime numbers if so how?
@jmc I've uploaded the original image, and full code in PHP. I used gnuplot to do the initial plot then GIMP to apply the Gaussian smoothing. I'll try one with a bigger radius and upload if it turns out. |
Feb 17 |
revised |
Lines in image; are they significant to prime numbers if so how?
added original image |
Feb 17 |
awarded | Student |
Feb 17 |
revised |
Lines in image; are they significant to prime numbers if so how?
added original image |
Feb 17 |
asked | Lines in image; are they significant to prime numbers if so how? |
Sep 17 |
awarded | Teacher |
Sep 17 |
comment |
Can one measure the infeasibility of four color proofs?
True it is O(1) in Big-O notation, but Big-O is not a very helpful measure of complexity in this example. |
Sep 17 |
revised |
Can one measure the infeasibility of four color proofs?
I can comment? |
Sep 16 |
revised |
Can one measure the infeasibility of four color proofs?
added 168 characters in body |
Sep 16 |
awarded | Editor |
Sep 16 |
revised |
Can one measure the infeasibility of four color proofs?
added 23 characters in body |
Sep 16 |
answered | Can one measure the infeasibility of four color proofs? |