is 2 2070071 - 1
has 623154 decimal digits
takes 0.136 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF8E2468605C42011double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26828.793669.1176 %2813228486125790.50616.8259 %29.299771.2257 %
Target2620.296866.1290 %90006500000.00421.3664 %0.301066.5918 %
Difference+6+28.4969+2.9886 %+2804228+47962579+0.5019+5.4596%+28.9988+4.6338 %

Known prime factors (1 factor, 76.1 bits, 0.00367435% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2070071788519646729224633664232376.06219045715019659341
13 × 1166441 × 1256004377
2020-04-08116644112560043777,393.06.629112.185

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-24ANONYMOUSv4_computers204820480012--0.0010.767%
2009-07-31USAFSSP4_260020000260000--0.0032.107%
2010-12-26JossManual testing3000030000--0.0030.926%
2011-01-06JossManual testing5000050000--0.0051.262%
2011-01-19James HeinrichQ660013500030712506--0.0285.330%
2014-11-06JossManual testing166006166006--0.0162.307%
2015-01-29JossManual testing200866200866--0.0192.507%
2015-01-30JossManual testing243047243047--0.0232.715%
2015-02-01JossManual testing294086294086--0.0282.932%
2015-02-02JossManual testing323494323494--0.0313.044%
2015-02-06JossManual testing646988646988--0.0623.925%
2015-02-20JossManual testing746988746988--0.0714.122%
2015-03-12JossManual testing821686821686--0.0784.255%
2015-04-08JossManual testing10936621093662--0.1044.667%
2015-05-01JossManual testing13233301323330--0.1264.951%
2015-05-07JossManual testing14556631455663--0.1395.096%
2015-05-22JossManual testing16012291601229--0.1535.243%
2015-05-26JossManual testing17613511761351--0.1685.392%
2015-06-08JossManual testing19374861937486--0.1855.543%
2015-06-25JossManual testing21312342131234--0.2035.695%
2015-07-21JossManual testing23443572344357--0.2245.849%
2016-03-15JossManual testing28132282813228012--0.40010.130%
2016-10-07JossManual testing28132284861257912--0.50611.052%
2018-02-22JossManual testing282322856464566---7.369%
2018-04-10JossManual testing2823228112929126---8.571%
2018-04-11JossManual testing28232282258582412---9.758%
2018-04-14JossManual testing28232284517164812---10.930%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-26ANONYMOUSv4_computers212580.019
2016-02-23Mark RoseManual testing2582600.056
2009-01-02Sturle Sundehindemith.ifi2602610.074
2012-03-15Sebastian HornbostelManual testing2612620.148
2013-09-01ramgeisManual testing2622630.474
2015-03-28VictordeHollanderManual testing2632640.948
2015-03-28VictordeHollanderManual testing2642651.805
2015-11-04ramgeisManual testing2652663.610
2016-09-07Gordon SpenceManual testing2662677.220
2019-03-28chuenkitManual testing26726814.44


ECM factoring results:
Total ECM effort:6.576 GHz-days
Estimated T-Level:21.406
DigitsB1CompleteFacMiss
20110003.0384.791%
25500000.28175.492%
302500000.01898.242%


ECM Summary

B1B2factorcurvesGHz-days
500005000000786.491
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-09-21kkmrkkblmbrbkv4_computersF8E2468605C420110.136
2015-03-28MadPooManual testingF8E2468605C420110.136


PRP results:
dateuseridcompidcofactorsres64
2020-04-10ANONYMOUSdory
78851964672922463366423
98E214D20D7F0D60
2020-04-14fre_gamesgpu
78851964672922463366423
98E214D20D7F0D60


CERT results:
No CERT results for M2070071


P-1 factor-bounds graph:
B1 = 2813228, B2 = 48612579 (P-1 stage 2)
B1 = 2823228, B2 = 45171648 (P-1 stage 2)
B1 = 2813228, B2 = 28132280 (P-1 stage 2)
B1 = 2823228, B2 = 22585824 (P-1 stage 2)
B1 = 2823228, B2 = 11292912 (P-1 stage 2)
B1 = 2823228, B2 = 5646456 (P-1 stage 2)
B1 = 2823228 (P-1 stage 1)
B1 = 2813228 (P-1 stage 1)
B1 = 2344357 (P-1 stage 1)
B1 = 2131234 (P-1 stage 1)
B1 = 1937486 (P-1 stage 1)
B1 = 1761351 (P-1 stage 1)
B1 = 1601229 (P-1 stage 1)
B1 = 1455663 (P-1 stage 1)
B1 = 1323330 (P-1 stage 1)
B1 = 1093662 (P-1 stage 1)
B1 = 821686 (P-1 stage 1)
B1 = 746988 (P-1 stage 1)
B1 = 646988 (P-1 stage 1)
B1 = 323494 (P-1 stage 1)
B1 = 135000, B2 = 3071250 (P-1 stage 2)
B1 = 294086 (P-1 stage 1)
B1 = 243047 (P-1 stage 1)
B1 = 200866 (P-1 stage 1)
B1 = 166006 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.41 ~= 54-bit
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00