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2021-05-19, 16:05   #67
garambois

"Garambois Jean-Luc"
Oct 2011
France

3×7×29 Posts

Quote:
 Originally Posted by EdH I've provided an interesting example, where in the case of the regina_file only containing up to 1e5, there is only one even sequence that ends with the prime 269. I wonder if there are any others within a larger set.
Thank you for this new program !
I did the same manipulation as you for the prime number 269, with regina_file until 5e6.
Result : 13 even sequences found !
Code:
Data available for sequences 2 through 5000000
Sequence endings - prime: 3876810, cycle: 78879, open: 1044310
Enter sequence (##/a/h/p/p##/q/u): 45987
45987 terminates with prime 269.
List all sequences that terminate with 269? (y/n/c/f): c
3684 sequences found.
Perform Advanced Filtering on these results? (y/n): y
Sequence filter a (mod b) (a b): 2
Sequence range (begin end):
All, Prime, Open, Cylce (a/p/o/c):
Range for number of iterations (min max):
Range for number of relative minimums (min max):
Range for number of relative maximums (min max):
Range for number of parity changes (min max):
Range for number of consecutive even abundant terms (min max):
Range for number of consecutive even deficient terms (min max):
Range for number of consecutive odd deficient terms (min max):
Range for number of consecutive odd abundant terms (min max):
Range for number of downdriver extracts (min max):
Range for smallest quotient of two consecutive terms (min max):
Range for largest quotient of two consecutive terms (min max):
Range for arith mean of all quotients of 2 consequtive terms (min max):
Range for geo mean of all quotients of 2 consequtive terms (min max):
Range for arith mean of # of digits of all the mins (min max):
Range for arith mean of # of digits of all the maxes (min max):
List filtered sequences for 0 (mod 2) from 2 through 5000000? (y/n/c/f): y
2888      436140    571804    628892    745148    887364    1143602   1216800   1252450   2876416   3476924   3511876   3969836
13 sequences found.
Enter sequence (##/a/h/p/p##/q/u):

 2021-05-19, 17:33 #68 EdH     "Ed Hall" Dec 2009 Adirondack Mtns 53×71 Posts Thanks! I find it interesting that such a large gap exists between the first and second sequence in the final list. I also see I've still got some spelling errors that I thought I had fixed. Let me know of any you may find. More later. . .

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