A054770
Jud McCranie
jud.mccranie at mindspring.com
Tue Jun 6 23:08:13 CEST 2000
At 05:54 PM 6/6/00 +0300, Antreas P. Hatzipolakis wrote:
Conjecture by dww (= David W. Wilson):
>a_n = [((5+sqrt(5))/2)n]-1
>(= [(phi + 2)*n] - 1, where phi is the golden ratio (1+sqrt(5))/2)
>
>Proof or disproof ?
These are my preliminary, quick and dirty results. There may be an error,
for instance if phi isn't calculated accurately enough. But I get 439203
(Lucas[27]-1) as not the sum of distinct Lucas numbers, it is the 121394th
such term, but the conjecture of n gives 439206.
Again, these are preliminary results, so I'm not sure of them.
+--------------------------------------------------------+
| Jud McCranie |
| |
| 137*2^261147+1 is prime! (78,616 digits, 5/2/00) |
+--------------------------------------------------------+
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