is 2 1017043 - 1
has 306161 decimal digits
takes 0.030 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L043C9EC83ACE9028double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271470.067071.8310 %100000009300000002.58398.6572 %472.650974.2696 %
Target2600.151066.6667 %4500850000.00040.5966 %0.151466.8655 %
Difference+11+469.9159+5.1643 %+9995500+929915000+2.5835+8.0606%+472.4995+7.4041 %

Known prime factors (1 factor, 71.2 bits, 0.00700078% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101704327140872452724790003592271.2011334303094988353
3 × 7 × 119299 × 532596607
2016-04-28119299532596607470.071.25192.3292

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-09-30ANONYMOUSv4_computers10000127500--0.0011.661%
2002-09-14Jossv4_computers1500015000--0.0010.687%
2002-09-29Jossv4_computers2500025000--0.0010.976%
2002-10-07Jossv4_computers2700027000--0.0011.025%
2003-11-08ANONYMOUSv4_computers15000198750--0.0012.119%
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.942%
2003-11-16eteov4_computers20000020000006--0.0135.714%
2003-12-13ANONYMOUSv4_computers15000198750--0.0012.119%
2010-01-24Rob_Deetwopc400000500000--0.0174.054%
2010-01-25Rob_Deetwopc600000700000--0.0264.545%
2010-01-26Rob_Deetwopc800000900000--0.0354.928%
2010-01-27Rob_Deetwopc10000001100000--0.0435.243%
2010-01-28Rob_Deetwopc12000001300000--0.0525.512%
2010-01-29Rob_Deetwopc14000001500000--0.0605.747%
2010-01-30Rob_Deetwopc16000001700000--0.0695.955%
2010-01-31Rob_Deetwopc18000001900000--0.0786.143%
2010-02-01Rob_Deetwopc20000002100000--0.0866.314%
2010-02-02Rob_Deetwopc22000002300000--0.0956.471%
2010-02-03Rob_Deetwopc24000002500000--0.1036.616%
2010-02-04Rob_Deetwopc26000002700000--0.1126.751%
2010-02-05Rob_Deetwopc28000002900000--0.1216.877%
2010-02-06Rob_Deetwopc30000003100000--0.1296.995%
2010-02-07Rob_Deetwopc32000003300000--0.1387.107%
2010-02-08Rob_Deetwopc34000003500000--0.1467.212%
2010-02-09Rob_Deetwopc36000003700000--0.1557.312%
2010-02-10Rob_Deetwopc38000003900000--0.1647.408%
2010-02-11Rob_Deetwopc40000004100000--0.1727.499%
2010-02-12Rob_Deetwopc42000004300000--0.1817.585%
2010-02-13Rob_Deetwopc44000004500000--0.1897.669%
2010-02-14Rob_Deetwopc46000004700000--0.1987.749%
2010-02-15Rob_Deetwopc48000004900000--0.2077.825%
2010-02-16Rob_Deetwopc50000005100000--0.2157.899%
2021-06-30ViliamF310000000930000000
skipped known factor: 2714087245272479000359
--2.23218.135%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-20ANONYMOUSv4_computers212570.019
2003-01-16ANONYMOUSv4_computers212580.038
2016-02-23Mark RoseManual testing2582600.113
2009-09-20S485122D610-H2602610.151
2010-11-13Michael CManual testing2612620.302
2010-11-13Michael CManual testing2622630.965
2010-11-13Michael CManual testing2632641.930
2013-03-26Never Odd Or EvenManual testing2642653.674
2013-03-26Never Odd Or EvenManual testing2652667.348
2013-03-26Never Odd Or EvenManual testing26626714.70
2013-03-26Never Odd Or EvenManual testing26726829.39
2013-07-02Never Odd Or EvenManual testing26826958.78
2013-07-02Never Odd Or EvenManual testing269270117.6
2014-04-01Never Odd Or EvenManual testing270271235.1


ECM factoring results:
Total ECM effort:17.221 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002789.467
50000500000030.090
25000025000000447.664


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-15ANONYMOUSv4_computers043C9EC83ACE90280.030


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
2714087245272479000359
9B2A68F2EEB8F4B0
2017-10-15Oliver KruseThreadripper-PC
2714087245272479000359
9B2A68F2EEB8F4B0
2017-12-28ATHec2-1xh
2714087245272479000359
9B2A68F2EEB8F4B0


CERT results:
No CERT results for M1017043


P-1 factor-bounds graph:
B1 = 10000000, B2 = 930000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 5000000, B2 = 5100000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 4800000, B2 = 4900000 (P-1 stage 2)
B1 = 4800000 (P-1 stage 1)
B1 = 4600000, B2 = 4700000 (P-1 stage 2)
B1 = 4600000 (P-1 stage 1)
B1 = 4400000, B2 = 4500000 (P-1 stage 2)
B1 = 4400000 (P-1 stage 1)
B1 = 4200000, B2 = 4300000 (P-1 stage 2)
B1 = 4200000 (P-1 stage 1)
B1 = 4000000, B2 = 4100000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3800000, B2 = 3900000 (P-1 stage 2)
B1 = 3800000 (P-1 stage 1)
B1 = 3600000, B2 = 3700000 (P-1 stage 2)
B1 = 3600000 (P-1 stage 1)
B1 = 3400000, B2 = 3500000 (P-1 stage 2)
B1 = 3400000 (P-1 stage 1)
B1 = 3200000, B2 = 3300000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 3000000, B2 = 3100000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2800000, B2 = 2900000 (P-1 stage 2)
B1 = 2800000 (P-1 stage 1)
B1 = 2600000, B2 = 2700000 (P-1 stage 2)
B1 = 2600000 (P-1 stage 1)
B1 = 2400000, B2 = 2500000 (P-1 stage 2)
B1 = 2400000 (P-1 stage 1)
B1 = 2200000, B2 = 2300000 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 2000000, B2 = 2100000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1800000, B2 = 1900000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 1600000, B2 = 1700000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1400000, B2 = 1500000 (P-1 stage 2)
B1 = 1400000 (P-1 stage 1)
B1 = 1200000, B2 = 1300000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1000000, B2 = 1100000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 800000, B2 = 900000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 600000, B2 = 700000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 400000, B2 = 500000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 27000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (P-1 stage 2)
B1 = 10000, B2 = 127500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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109
TF factor-bounds graph:
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269
268
267
266
265
264
263
262
261
260
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257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00