Re: [math-fun] "OneSixOne" palindrome approx to phi
Note the patterns: all even, but not divisible by 8. Notice the pattern in the other primes? 2 b= 4 = 2 100ln= 139 b= 10 = 2 5 100ln= 230 b= 26 = 2 13 100ln= 326 2 b= 68 = 2 17 100ln= 422 b= 178 = 2 89 100ln= 518 b= 466 = 2 233 100ln= 614 2 b= 1220 = 2 5 61 100ln= 711 b= 3194 = 2 1597 100ln= 807 b= 8362 = 2 37 113 100ln= 903 2 b= 21892 = 2 13 421 100ln= 999 b= 57314 = 2 28657 100ln= 1096 At 09:14 PM 11/23/2015, rcs@xmission.com wrote:
The limiting ratio is a tad less than e; maybe phi^2? --Rich
----------- Quoting Henry Baker <hbaker1@pipeline.com>:
At 01:38 PM 11/23/2015, Henry Baker wrote:
But why stop with 161; cf(phi) is also a palindrome.
Harmony and balance will cost you 2400 euros.
Smaller amounts of harmony and balance are denoted by "Tau" and cost you only 900 euros.
So, for which bases is phi a palindrome for the first 3 digits?
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Henry Baker