SB Sieving and factoring gaps analysis 500.000T < p < 600.000T (1.0M < n < 20.0M)

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Last Update: Mon 10-Nov-2008 14:38 (GMT)




Gaps found: 0
Gaps size:  0.00G (0.00%)
Factors in range: unique:2739, duplicate:1342, excluded:36107
Factors missing (estimated): 0 - 0


Smallest gap between factors:           16339458 (538774121689939 - 538774138029397)
                                      (   0.02G)  : 530000-540000 engracio [complete]

Largest (accepted) gaps between factors

       : 528250.15G - 528503.39G,  size:  253.24G,                  (528250153866377-528503389366411) R: 0.908, S: 0.488
                                      ( 253.24G)  : 527425-530000 MaGnatu (ETA: 15 apr 2005)

       : 575750.03G - 575986.66G,  size:  236.63G,                  (575750033650769-575986662800231) R: 0.779, S: 0.305
                                      ( 236.63G)  : 574000-576000 Nuri [complete]

       : 575526.94G - 575748.25G,  size:  221.31G,                  (575526944272843-575748249728929) R: 0.728, S: 0.514
                                      ( 221.31G)  : 574000-576000 Nuri [complete]

       : 526520.80G - 526732.55G,  size:  211.74G,                  (526520803770707-526732546262333) R: 0.762, S: 0.641
                                      ( 211.74G)  : 525200-527000 priwo [complete]

       : 568190.50G - 568401.49G,  size:  210.99G,                  (568190497799579-568401486639757) R: 0.703, S: 0.406
                                      ( 210.99G)  : 566000-569000 hc_grove [complete]

       : 566362.82G - 566542.38G,  size:  179.57G,                  (566362815668989-566542381700459) R: 0.601, S: 0.305
                                      ( 179.57G)  : 566000-569000 hc_grove [complete]

       : 578194.41G - 578361.85G,  size:  167.44G,                  (578194410903779-578361854521237) R: 0.549, S: 0.228
                                      ( 167.44G)  : 578150-579000 torque2k

       : 565818.18G - 565969.90G,  size:  151.72G,                  (565818179118911-565969903332623) R: 0.508, S: 0.258
                                      ( 151.72G)  : 564000-566000 Nuri [complete]

       : 578043.60G - 578194.41G,  size:  150.82G,                  (578043595084931-578194410903779) R: 0.494, S: 0.509
                                      (  56.40G)  : 578000-578100 MikeH [complete]
                                      (  50.00G)  : 578100-578150 Keller [complete] 0 factors
                                      (  44.41G)  : 578150-579000 torque2k

       : 567718.65G - 567866.90G,  size:  148.25G,                  (567718647759401-567866900854049) R: 0.495, S: 0.338
                                      ( 148.25G)  : 566000-569000 hc_grove [complete]




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): 500000.00G - 600000.00G
   Range (n): 1.00M - 20.00M
   LIMIT_P_RATIO: 1895.00
   SERIES_SIZE: 30.00
   SERIES_LIMIT: 3.50
   K: ALL