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Old 2003-10-28, 21:56   #1
GP2
 
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Sep 2003

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Default Interim iterations in status.txt are not random

The status.txt file shows how many iterations have been done for each exponent that is being LL-tested (or blank if LL-testing hasn't started yet).

The number of iterations is shown as a decimal number. But if converted to hexadecimal, an interesting pattern emerges: many of the iteration count end in 3F, 7F, BF, FF or 40, 80, C0, 00 or 01, 81.

For instance:

10000363,D ,65,5181823,66.6,6.4,60.4,28-Oct-03 02:57,23-Aug-03 01:05,Team_Prime_Rib,Reboot_It201


Here 5181823 = 4F117F (hex)


This only applies to LL-testing iteration counts. For factoring, the "iteration count" is an integer from 1 to 16 (or blank).


Here are the frequency counts for the top 16 values for the last two hexadecimal digits of the LL-testing iteration count in status.txt (Oct 28 2003 16:00 UTC):

Code:
   1822 00
   1704 ff
   1107 40
   1074 c0
   1058 80
   1050 7f
   1037 3f
   1022 bf
    615 01
    386 81
     33 36
     32 7d
     29 f4
     29 a6
     28 95
     28 8e
     28 70
     28 54
     28 22
     28 16
     28 13
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Old 2003-10-28, 21:59   #2
GP2
 
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If examining the final four hexadecimal digits, there is a preference for 0000, ffff, and to a lesser extent 0001:

Code:
    721 ffff
    712 0000
    232 0001
     21 0040
     20 003f
     14 0c3f
     13 e580
     13 0081
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Old 2003-10-28, 22:51   #3
garo
 
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That is primarily because Prime95 performs a number of checks - including whether to communicate with the server - every 65536 iterations.
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