SB Sieving and factoring gaps analysis 2000.000T < p < 9990.000T (0.3M < n < 3.0M)

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Last Update: Fri 14-Jan-2005 09:11 (GMT)


RATIO:   2000000.00G - 2207177.68G,  size:207177.68G,  est fact: 290   (2000000000000000-2207177678221133) R:88.583, S: 0.386
RATIO:   2207177.68G - 2931617.15G,  size:724439.47G,  est fact: 887   (2207177678221133-2931617148815881) R:78.335, S: 0.253
RATIO:   2931617.15G - 3829961.78G,  size:898344.63G,  est fact: 792   (2931617148815881-3829961779931851) R:74.355, S: 0.240
RATIO:   3829961.78G - 4847188.22G,  size:1017226.44G,  est fact: 719   (3829961779931851-4847188223273203) R:66.525, S: 0.215
RATIO:   4847188.22G - 6608349.93G,  size:1761161.71G,  est fact: 943   (4847188223273203-6608349929630453) R:84.482, S: 0.272
RATIO:   6608349.93G - 7839285.89G,  size:1230935.96G,  est fact: 522   (6608349929630453-7839285889867657) R:49.776, S: 0.161
RATIO:   7839285.89G - 9300958.46G,  size:1461672.57G,  est fact: 481   (7839285889867657-9300958460793676) R:49.817, S: 0.161
RATIO:   9300958.46G - 9990000.00G,  size:689041.54G,  est fact: 201   (9300958460793676-9990000000000000) R:99.999, S: 0.426


Gaps found: 8
Gaps size:  7990000.00G (100.00%)
Factors in range: unique:6, duplicate:1, excluded:0
Factors missing (estimated): 0 - 4835





Key:
SERIES  Gap was found by examining gaps sizes of previous 30 factors.
RATIO   Gap was found by examining previous gap size.
SER+RAT Gap was found by both SERIES and RATIO methods.
#*#     Gap has been identified in a range declared [complete].

Please note that gaps in completed ranges are not an immediate cause for concern.
This may be due to a delay in the user submitting factors, or may be an acceptable
gap, and I simply need to adjust the thresholds.  If you feel a gap is larger than
you would anticipate for a given p, please e-mail or PM the user concerned.



Using limits:
   Range (p): 2000000.00G - 9990000.00G
   Range (n): 0.30M - 3.00M
   LIMIT_P_RATIO: 317.00
   SERIES_SIZE: 30.00
   SERIES_LIMIT: 3.50
   K: ALL