is 2 1401767 - 1
has 421974 decimal digits
takes 0.054 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1B6452438104BC0Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26721.197568.6567 %2500000625000000.31947.3813 %21.516970.9702 %
Target2600.109665.0000 %60003500000.00141.2429 %0.110965.4350 %
Difference+7+21.0879+3.6567 %+2494000+62150000+0.3180+6.1383%+21.4059+5.5352 %

Known prime factors (1 factor, 77.5 bits, 0.00552603% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14017672081642009042533628980392477.46274250642547674957
3 × 7 × 13 × 15017 × 18111498677
2016-06-03150171811149867721,83554.630102.03

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-09ANONYMOUSv4_computers204820480012--0.0011.023%
2003-02-16ANONYMOUSv4_computers409640960012--0.0011.739%
2003-09-21Team Prime Ribv4_computers15000202500--0.0012.261%
2003-09-21Xyzzyv4_computers15000202500--0.0012.261%
2010-03-11Rob_Deetwopc200000400000--0.0143.880%
2010-03-11Rob_Deetwopc400000600000--0.0274.502%
2010-03-11Rob_Deetwopc600000800000--0.0404.950%
2010-03-11Rob_Deetwopc8000001000000--0.0535.307%
2010-03-12Rob_Deetwopc10000001200000--0.0655.605%
2010-03-12Rob_Deetwopc12000001400000--0.0785.861%
2010-03-12Rob_Deetwopc14000001600000--0.0916.087%
2010-03-13Rob_Deetwopc16000001800000--0.1046.289%
2010-03-14Rob_Deetwopc18000002000000--0.1176.471%
2010-03-15Rob_Deetwopc20000002200000--0.1306.638%
2010-03-16Rob_Deetwopc22000002400000--0.1436.791%
2010-03-17Rob_Deetwopc24000002600000--0.1566.933%
2010-03-18Rob_Deetwopc26000002800000--0.1697.066%
2010-03-19Rob_Deetwopc28000003000000--0.1827.190%
2010-03-20Rob_Deetwopc30000003200000--0.1957.306%
2010-03-21Rob_Deetwopc32000003400000--0.2087.417%
2010-03-22Rob_Deetwopc34000003600000--0.2217.521%
2010-03-23Rob_Deetwopc36000003800000--0.2347.620%
2010-03-24Rob_Deetwopc38000004000000--0.2477.715%
2010-03-25Rob_Deetwopc40000004200000--0.2607.805%
2010-03-26Rob_Deetwopc42000004400000--0.2737.891%
2010-03-27Rob_Deetwopc44000004600000--0.2867.974%
2010-03-28Rob_Deetwopc46000004800000--0.2998.053%
2010-03-29Rob_Deetwopc48000005000000--0.3128.130%
2010-03-30Rob_Deetwopc50000005100000--0.3248.164%
2015-02-09alpertronManual testing5000001500000012--0.0849.409%
2015-05-16alpertronManual testing20000006000000012--0.33412.592%
2016-08-27Bruno VictalManual testing25000006250000012---12.791%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-05-27Jossv4_computers212570.014
2003-02-24ANONYMOUSv4_computers212580.027
2003-03-27ANONYMOUSv4_computers212590.027
2016-02-23Mark RoseManual testing2592600.055
2009-02-20Sturle Sundefungo.ifi2602610.110
2010-05-08Richard B. WoodsPuttputt2612620.219
2011-04-05GrunwalderGIMPManual testing212631.138
2016-02-23Mark RoseManual testing2622630.700
2015-03-04snme2pm1Manual testing2632641.401
2015-03-04snme2pm1Manual testing2642652.665
2015-09-26ramgeisManual testing2652665.331


ECM factoring results:
Total ECM effort:29.193 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024813.19
50000500000030.141
250000350000005015.86


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10ANONYMOUSv4_computers667CFE0964FFA5940.054
2015-11-13MadPooManual testing1B6452438104BC0C0.063


PRP results:
dateuseridcompidcofactorsres64
2017-09-30Oliver KruseGTX-3
208164200904253362898039
F76B4891F8E576BD
2017-10-25kkmrkkblmbrbkc4.xlarge
208164200904253362898039
F76B4891F8E576BD


CERT results:
No CERT results for M1401767


P-1 factor-bounds graph:
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 5000000, B2 = 5100000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 4800000, B2 = 5000000 (P-1 stage 2)
B1 = 4800000 (P-1 stage 1)
B1 = 4600000, B2 = 4800000 (P-1 stage 2)
B1 = 4600000 (P-1 stage 1)
B1 = 4400000, B2 = 4600000 (P-1 stage 2)
B1 = 4400000 (P-1 stage 1)
B1 = 4200000, B2 = 4400000 (P-1 stage 2)
B1 = 4200000 (P-1 stage 1)
B1 = 4000000, B2 = 4200000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3800000, B2 = 4000000 (P-1 stage 2)
B1 = 3800000 (P-1 stage 1)
B1 = 3600000, B2 = 3800000 (P-1 stage 2)
B1 = 3600000 (P-1 stage 1)
B1 = 3400000, B2 = 3600000 (P-1 stage 2)
B1 = 3400000 (P-1 stage 1)
B1 = 3200000, B2 = 3400000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 3000000, B2 = 3200000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2800000, B2 = 3000000 (P-1 stage 2)
B1 = 2800000 (P-1 stage 1)
B1 = 2600000, B2 = 2800000 (P-1 stage 2)
B1 = 2600000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 2400000, B2 = 2600000 (P-1 stage 2)
B1 = 2400000 (P-1 stage 1)
B1 = 2200000, B2 = 2400000 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 2000000, B2 = 2200000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1800000, B2 = 2000000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 1600000, B2 = 1800000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1400000, B2 = 1600000 (P-1 stage 2)
B1 = 1400000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1200000, B2 = 1400000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1000000, B2 = 1200000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 800000, B2 = 1000000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 600000, B2 = 800000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 400000, B2 = 600000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 400000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 15000, B2 = 202500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
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109
1010
1011
TF factor-bounds graph:
266
265
264
263
262
261
260
259
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
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260
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Last modified: 2024-02-09T03:30:02+00:00