Timeline for Something interesting about the quintic $x^5 + x^4 - 4 x^3 - 3 x^2 + 3 x + 1=0$ and its cousins
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7 events
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Nov 24, 2016 at 13:10 | comment | added | Tito Piezas III | @GerryMyerson:The corrected Lehmer quintic does satisfy all three Diophantine relations. (I made a small typo when I was checking it earlier.) | |
Nov 24, 2016 at 11:46 | comment | added | Gerry Myerson | I checked Storer's book, he doesn't do the quintic. | |
Nov 24, 2016 at 7:51 | comment | added | Tito Piezas III | Thanks. Courtesy of the answers by Myerson and Elkies, the depressed forms of these satisfy the three Diophantine relations in the post. And I edited the post to include a second simple cyclic family which, incidentally, contains $p=151$. | |
Nov 24, 2016 at 4:57 | history | edited | Will Jagy | CC BY-SA 3.0 |
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Nov 24, 2016 at 3:25 | history | edited | Will Jagy | CC BY-SA 3.0 |
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Nov 24, 2016 at 3:17 | history | edited | Will Jagy | CC BY-SA 3.0 |
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Nov 24, 2016 at 2:02 | history | answered | Will Jagy | CC BY-SA 3.0 |