SB Sieving and factoring gaps analysis 1000.000T < p < 2000.000T (1.0M < n < 20.0M)

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Last Update: Mon 10-Nov-2008 14:42 (GMT)


RATIO:   1022212.33G - 1022845.80G,  size:  633.47G,  est fact:   6   (1022212329492287-1022845801035673) R: 1.174, S: 0.475
                                      ( 200.00G)  : 1022560  1022760  jasong    Reserved  2006-03-15

RATIO:   1038501.53G - 1039222.93G,  size:  721.40G,  est fact:   9   (1038501526922141-1039222926696329) R: 1.315, S: 0.576
                                      ( 721.40G)  : 1038000  1040000  pixl97  991-50M dat (bserv5)  Reserved  2006-04-17

RATIO:   1191781.06G - 1192711.09G,  size:  930.02G,  est fact:   9   (1191781063838093-1192711085912611) R: 1.478, S: 0.793
                                  #*# ( 418.94G)  : 1191700  1192200  Sloth    [complete]  2006-12-06
                                  #*# ( 200.00G)  : 1192200  1192400  CollegiateMafia  check-in  [complete]  2007-02-23
                                  #*# ( 200.00G)  : 1192400  1192600  CollegiateMafia  check-in  [complete]  2007-02-18

RATIO:   1245039.25G - 1245732.05G,  size:  692.81G,  est fact:   5   (1245039246933749-1245732052436251) R: 1.054, S: 0.341
                                      ( 582.05G)  : 1245150  1246150  glennpat  combined dat  Reserved  2007-08-10

RATIO:   1289083.62G - 1289814.76G,  size:  731.14G,  est fact:   3   (1289083618552897-1289814757749611) R: 1.074, S: 0.442
                                  #*# ( 731.14G)  : 1286850  1291850  geoff    [complete] 2007-12-09

RATIO:   1301427.37G - 1302201.39G,  size:  774.02G,  est fact:   5   (1301427372384673-1302201388318063) R: 1.126, S: 0.618
                                  #*# ( 172.63G)  : 1301100  1301600  japelprime    [complete] 2007-12-22
                                  #*# ( 601.39G)  : 1301600  1302600  Matt  (Server) Combined  [complete] 2007-12-30

RATIO:   1307808.59G - 1308794.21G,  size:  985.62G,  est fact:   7   (1307808586454771-1308794208632513) R: 1.427, S: 0.511
                                      ( 834.21G)  : 1307960  1308960  benjackson    Reserved  2007-12-09

RATIO:   1337001.27G - 1337929.80G,  size:  928.53G,  est fact:   7   (1337001268107017-1337929799710727) R: 1.315, S: 0.490
                                      ( 498.73G)  : 1336500  1337500  Matt  (Server) Combined  Reserved  2007-12-30
                                      ( 429.80G)  : 1337500  1339500  BSheep  combined  Pending  2007-12-30

RATIO:   1337972.83G - 1338709.76G,  size:  736.92G,  est fact:   5   (1337972832678101-1338709756010867) R: 1.043, S: 0.227
                                      ( 736.92G)  : 1337500  1339500  BSheep  combined  Pending  2007-12-30

RATIO:   1357489.73G - 1358466.05G,  size:  976.33G,  est fact:   7   (1357489725374033-1358466051733481) R: 1.362, S: 0.673
                                      ( 866.05G)  : 1357600  1360000  VJS  991-50M combined  Reserved  2008-01-09

RATIO:   1373342.88G - 1374142.44G,  size:  799.56G,  est fact:   6   (1373342878341281-1374142439767609) R: 1.103, S: 0.478
                                  #*# ( 799.56G)  : 1368810  1375810  BSheep  combined [complete]  2008-01-18

RATIO:   1381864.09G - 1383062.90G,  size: 1198.81G,  est fact:   9   (1381864089335371-1383062895861611) R: 1.643, S: 0.491
                                  #*# ( 865.91G)  : 1380730  1382730  BSheep  combined [complete]  2008-01-18
                                  #*# ( 302.90G)  : 1382760  1384760  BSheep  combined [complete]  2008-01-20

RATIO:   1383259.00G - 1384185.71G,  size:  926.71G,  est fact:   7   (1383259004425891-1384185710565641) R: 1.269, S: 0.199
                                  #*# ( 926.71G)  : 1382760  1384760  BSheep  combined [complete]  2008-01-20

RATIO:   1406355.02G - 1407256.74G,  size:  901.72G,  est fact:   9   (1406355018737719-1407256736410813) R: 1.214, S: 0.698
                                      ( 644.98G)  : 1406000  1407000  Sloth    Reserved  2008-01-25
                                      ( 256.74G)  : 1407000  1408000  Sloth    Reserved  2008-01-25

RATIO:   1421573.00G - 1422432.79G,  size:  859.79G,  est fact:   5   (1421572999747993-1422432793814129) R: 1.145, S: 0.452
                                      ( 197.00G)  : 1411770  1421770  KriZp  60%  Reserved  2008-02-08
                                  #*# ( 500.00G)  : 1421770  1422270  stim   [complete]  2008-02-25

RATIO:   1427188.40G - 1428086.58G,  size:  898.18G,  est fact:   4   (1427188400671669-1428086577413987) R: 1.192, S: 0.297
                                  #*# ( 781.60G)  : 1426970  1427970  benjackson  Combined 50M [complete]  2008-03-06

RATIO:   1462448.31G - 1463258.53G,  size:  810.23G,  est fact:   4   (1462448305517137-1463258532849467) R: 1.049, S: 0.339
RATIO:   1471921.42G - 1472846.32G,  size:  924.90G,  est fact:   5   (1471921422903497-1472846324953303) R: 1.190, S: 0.374
RATIO:   1485222.25G - 1486183.66G,  size:  961.41G,  est fact:   6   (1485222249704797-1486183659422107) R: 1.226, S: 0.676
RATIO:   1491331.58G - 1492177.04G,  size:  845.46G,  est fact:   4   (1491331580774083-1492177036303957) R: 1.074, S: 0.250
RATIO:   1495237.29G - 1496037.51G,  size:  800.22G,  est fact:   6   (1495237291978151-1496037511888999) R: 1.014, S: 0.270
RATIO:   1580354.27G - 1581331.40G,  size:  977.14G,  est fact:   5   (1580354266140641-1581331401707027) R: 1.171, S: 0.464
                                  #*# ( 977.14G)  : 1500000  1600000  PrimeGrid  100T sieved at 11/12/2007 11:20 am EST [complete]  2007-11-26

RATIO:   1581891.78G - 1582918.50G,  size: 1026.72G,  est fact:   5   (1581891780358937-1582918504386883) R: 1.229, S: 0.300
                                  #*# (1026.72G)  : 1500000  1600000  PrimeGrid  100T sieved at 11/12/2007 11:20 am EST [complete]  2007-11-26

RATIO:   1653276.22G - 1654655.53G,  size: 1379.31G,  est fact:   8   (1653276218171209-1654655525842651) R: 1.580, S: 0.738
                                  #*# (1379.31G)  : 1600000  1700000  PrimeGrid   [complete]  2007-12-21

RATIO:   1659277.67G - 1660174.65G,  size:  896.98G,  est fact:   5   (1659277668472687-1660174646982409) R: 1.024, S: 0.402
                                  #*# ( 896.98G)  : 1600000  1700000  PrimeGrid   [complete]  2007-12-21

RATIO:   1675568.56G - 1676734.91G,  size: 1166.35G,  est fact:   6   (1675568561183017-1676734910046349) R: 1.318, S: 0.428
                                  #*# (1166.35G)  : 1600000  1700000  PrimeGrid   [complete]  2007-12-21

RATIO:   1779856.20G - 1781032.16G,  size: 1175.95G,  est fact:   6   (1779856204589761-1781032159147541) R: 1.251, S: 0.407
                                  #*# (1175.95G)  : 1715000  1800000  engracio  50M dat [complete]  2007-06-20

RATIO:   1822116.24G - 1823201.00G,  size: 1084.76G,  est fact:   5   (1822116241963307-1823201002695167) R: 1.127, S: 0.806
                                  #*# (1084.76G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20

RATIO:   1824094.28G - 1825694.09G,  size: 1599.81G,  est fact:   8   (1824094278016433-1825694090898817) R: 1.661, S: 0.421
                                  #*# (1599.81G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20

RATIO:   1874708.84G - 1875921.22G,  size: 1212.39G,  est fact:   5   (1874708835776801-1875921222650311) R: 1.225, S: 0.568
                                  #*# (1212.39G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20

RATIO:   1898888.69G - 1899972.70G,  size: 1084.01G,  est fact:   5   (1898888691909953-1899972697769743) R: 1.081, S: 0.366
                                  #*# (1084.01G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20



Gaps found: 31
Gaps size:  29640.65G (2.96%)
Factors in range: unique:6971, duplicate:684, excluded:17207
Factors missing (estimated): 186 - 759


Smallest gap between factors:             496070 (1307227905415769 - 1307227905911839)
                                      (   0.00G)  : 1306960  1307960  geoff    [complete] 2007-12-22

Largest (accepted) gaps between factors

       : 1924516.57G - 1925517.83G,  size: 1001.27G,                  (1924516565497193-1925517832627789) R: 0.985, S: 0.496
                                      (1001.27G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20

       : 1972244.89G - 1973241.95G,  size:  997.06G,                  (1972244893680713-1973241954715607) R: 0.958, S: 0.372
                                      ( 997.06G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20

       : 1842344.61G - 1843315.04G,  size:  970.43G,                  (1842344605033951-1843315035746467) R: 0.998, S: 0.499
                                      ( 970.43G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20

       : 1939343.81G - 1940269.20G,  size:  925.39G,                  (1939343813095463-1940269203286747) R: 0.904, S: 0.328
                                      ( 925.39G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20

       : 1998347.94G - 1999259.81G,  size:  911.87G,                  (1998347939160613-1999259810279789) R: 0.864, S: 0.312
                                      ( 911.87G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20

       : 1863777.18G - 1864674.49G,  size:  897.31G,                  (1863777182817617-1864674490588579) R: 0.912, S: 0.297
                                      ( 897.31G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20

       : 1719380.52G - 1720277.19G,  size:  896.67G,                  (1719380519677357-1720277192978527) R: 0.988, S: 0.398
                                      ( 896.67G)  : 1715000  1800000  engracio  50M dat [complete]  2007-06-20

       : 1862730.40G - 1863592.36G,  size:  861.96G,                  (1862730398168623-1863592358663911) R: 0.876, S: 0.347
                                      ( 861.96G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20

       : 1878303.52G - 1879160.86G,  size:  857.35G,                  (1878303515417981-1879160861963377) R: 0.865, S: 0.202
                                      ( 857.35G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20

       : 1895516.96G - 1896362.54G,  size:  845.58G,                  (1895516955844273-1896362536789001) R: 0.845, S: 0.497
                                      ( 845.58G)  : 1820000  2000000  PrimeGrid  1931000 on 2007-12-31 [complete]  2008-01-20




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): 1000000.00G - 2000000.00G
   Range (n): 1.00M - 20.00M
   LIMIT_P_RATIO: 1895.00
   SERIES_SIZE: 30.00
   SERIES_LIMIT: 3.50
   K: ALL