is 2 1886903 - 1
has 568015 decimal digits
takes 0.102 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L98092FD617495EE1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26831.588769.1176 %30958661886903001.03898.4515 %32.627771.7277 %
Target2610.162865.5738 %100007500000.00401.6927 %0.166866.1565 %
Difference+7+31.4259+3.5439 %+3085866+187940300+1.0350+6.7588%+32.4609+5.5712 %

Known prime factors (1 factor, 74.6 bits, 0.00395131% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1886903277964576187046118257212374.5577365629716711620
22 × 3 × 5 × 59 × 431 × 4827578563
2019-12-0843148275785632,027.620.69038.643

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2012-01-17markrtiny275000600000012--0.0467.189%
2015-10-07Bruno Victal5820K.ECM5000001500000012--0.1018.894%
2016-09-22JossManual testing5000001650000012--0.1089.033%
2016-10-07JossManual testing500000198000006--0.1229.298%
2016-10-09JossManual testing5000005000000012--0.25110.645%
2016-11-03JossManual testing600000600000---4.206%
2016-12-23JossManual testing720000720000---4.470%
2016-12-29JossManual testing864000864000---4.742%
2017-01-21JossManual testing10368001036800---5.022%
2017-03-01JossManual testing12441601244160012---9.132%
2017-06-19JossManual testing14929922687385612---10.489%
2017-07-18JossManual testing17915901791590012---9.894%
2017-07-20JossManual testing21499082149908012---10.279%
2017-07-30JossManual testing25798892579889012---10.667%
2017-08-04JossManual testing30958663095866012--0.36311.058%
2018-02-16JossManual testing30958666191732012--0.49612.287%
2018-03-13JossManual testing309586612383464012--0.76113.496%
2018-05-02JossManual testing309586618869030012--1.03914.221%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-09ANONYMOUSv4_computers212580.020
2016-02-23Mark RoseManual testing2582600.163
2010-04-01Architects CubedManual testing2602610.081
2016-02-23Mark RoseManual testing2612620.061
2011-03-08GrunwalderGIMPManual testing212630.846
2016-02-23Mark RoseManual testing2622630.520
2015-05-10snme2pm1Manual testing2632641.040
2015-05-10snme2pm1Manual testing2642651.980
2015-09-13ramgeisManual testing2652663.960
2018-05-28TJAOIManual testing2662677.921
2019-06-17TJAOIManual testing26726815.84


ECM factoring results:
Total ECM effort:39.191 GHz-days
Estimated T-Level:25.710
DigitsB1CompleteFacMiss
201100014.9690.000%
25500001.68018.638%
302500000.14286.763%
3510000000.01099.031%


ECM Summary

B1B2factorcurvesGHz-days
500005000000573.844
50000500000020.139
50000660000019215.01
250000400000004720.20


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21dswansonv4_computers98092FD617495EE10.102
2015-07-01MadPooManual testing98092FD617495EE10.102


PRP results:
dateuseridcompidcofactorsres64
2019-12-09Niels_Mache_NextcloudSuperDry-X
27796457618704611825721
D802ACE5B25E82B6
2019-12-10marssystemsSystem01
27796457618704611825721
D802ACE5B25E82B6


CERT results:
No CERT results for M1886903


P-1 factor-bounds graph:
B1 = 3095866, B2 = 188690300 (P-1 stage 2)
B1 = 3095866, B2 = 123834640 (P-1 stage 2)
B1 = 3095866, B2 = 61917320 (P-1 stage 2)
B1 = 3095866, B2 = 30958660 (P-1 stage 2)
B1 = 2579889, B2 = 25798890 (P-1 stage 2)
B1 = 2149908, B2 = 21499080 (P-1 stage 2)
B1 = 500000, B2 = 50000000 (P-1 stage 2)
B1 = 3095866 (P-1 stage 1)
B1 = 1492992, B2 = 26873856 (P-1 stage 2)
B1 = 1791590, B2 = 17915900 (P-1 stage 2)
B1 = 2579889 (P-1 stage 1)
B1 = 2149908 (P-1 stage 1)
B1 = 1244160, B2 = 12441600 (P-1 stage 2)
B1 = 1791590 (P-1 stage 1)
B1 = 500000, B2 = 19800000 (P-1 stage 2)
B1 = 1492992 (P-1 stage 1)
B1 = 500000, B2 = 16500000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1244160 (P-1 stage 1)
B1 = 1036800 (P-1 stage 1)
B1 = 864000 (P-1 stage 1)
B1 = 720000 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
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1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00