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2007-01-25, 19:02   #10
Citrix

Jun 2003

1,579 Posts

Quote:
 Originally Posted by robert44444uk Citrix, what is yor covering set for 1307? Obvioulsy there are not many n for which small factors cannot be found but there are 708 n values in the first 100,000 n which have no factors smaller than 50 million. For example, my NewPgen file reads (for the "Sierpinski": 51763650:P:0:1307:257 2 123 2 387 2 435 2 723 2 891 2 1131 2 1155 2 1443 2 1491 2 1515 2 1803 2 1947 2 1971 2 1995..... None of these are prime up to n=4731
You are correct. Some error occured on my end. Thanks for pointing it out. But when I tried use Srsieve, it said all the numbers were eliminated. So I assumed it was a Sierpinksi number of this type. Though now when I run Srsieve it says some numbers are left.

I will stick to values under 512 then. I don't think that 2 can be a sierpinki/riesel number for any base. Nor can any of the low k values.
Code:

101	5000	903
167	5000	235
206	5000	614
218	5000	465
236	5000	497
257	5000	187	Citrix
287	5000	260
305	5000	1049
365	5000	616
368	5000	379
383	10000	76	Citrix
461	5000	535
467	5000	288
So if someone was to plot the sierpinski numbers (Y axis) and use the count (x axis) does the slope of the curve eventually become almost 0. If yes then it means that low k values are more likely to produce primes than high k values. Does anyone have enough data to plot this. Any thoughts on why low k's like 2, 3 can never be sierpinski numbers to any base...

Thanks!