is 2 413069 - 1
has 124347 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBB09E403008864CEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268144.297672.0588%15010003439786350026.363912.1193%170.661675.4451%
Target2440.000056.8182%70002200000.000313.1193%0.000362.4833%
Difference+24+144.2976+15.2406%+1494000+34397643500+26.3637-1.0000%+170.6613+12.9618%

Known prime factors (1 factor, 119.5 bits, 0.02891955% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
41306991273884313535404328416983835015648136119.4581104826122433968711382565428960
25 × 5 × 307 × 1447 × 2554843 × 15170261 × 401060393
2023-01-25151702614010603934.231e+110.50880.5737

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-15ANONYMOUSv4_computers327683276800---0.003--1.480%
2002-08-24ANONYMOUSv4_computers655366553600---0.006--2.136%
2003-03-27ANONYMOUSv4_computers13107213107200---0.012--2.920%
2010-07-09Rob_Deetwopc5000001000000---0.007--1.879%
2010-07-10Rob_Deetwopc10000002000000---0.015--2.474%
2010-07-11Rob_Deetwopc10000003000000---0.016--2.807%
2010-07-12Rob_Deetwopc10000004000000---0.016--3.045%
2010-07-13Rob_Deetwopc10000005000000---0.017--3.231%
2010-07-14Rob_Deetwopc10000006000000---0.018--3.384%
2010-07-15Rob_Deetwopc10000007000000---0.019--3.514%
2010-07-16Rob_Deetwopc10000008000000---0.019--3.627%
2010-07-17Rob_Deetwopc10000009000000---0.020--3.727%
2010-09-26Rob_Deetwopc100000010000000---0.021--3.817%
2010-09-27Rob_Deetwopc100000011000000---0.022--3.898%
2010-09-28Rob_Deetwopc100000012000000---0.022--3.973%
2010-09-29Rob_Deetwopc100000013000000---0.023--4.041%
2010-09-30Rob_Deetwopc100000014000000---0.024--4.105%
2010-10-01Rob_Deetwopc100000015000000---0.025--4.165%
2010-10-02Rob_Deetwopc100000016000000---0.026--4.220%
2010-10-03Rob_Deetwopc100000017000000---0.026--4.273%
2010-10-04Rob_Deetwopc100000018000000---0.027--4.322%
2010-10-05Rob_Deetwopc100000019000000---0.028--4.369%
2010-10-06Rob_Deetwopc100000020000000---0.029--4.414%
2010-10-07Rob_Deetwopc100000021000000---0.029--4.456%
2010-10-08Rob_Deetwopc100000022000000---0.030--4.497%
2010-10-09Rob_Deetwopc100000023000000---0.031--4.535%
2010-10-10Rob_Deetwopc100000024000000---0.032--4.573%
2010-10-11Rob_Deetwopc100000025000000---0.032--4.608%
2010-10-12Rob_Deetwopc100000026000000---0.033--4.643%
2010-10-13Rob_Deetwopc100000027000000---0.034--4.676%
2010-10-14Rob_Deetwopc100000028000000---0.035--4.707%
2010-10-15Rob_Deetwopc100000029000000---0.036--4.738%
2010-10-17Rob_Deetwopc100000030000000---0.036--4.768%
2010-10-18Rob_Deetwopc100000031000000---0.037--4.797%
2010-10-19Rob_Deetwopc100000032000000---0.038--4.825%
2010-10-21Rob_Deetwopc100000033000000---0.039--4.852%
2010-10-22Rob_Deetwopc100000034000000---0.039--4.878%
2010-10-23Rob_Deetwopc100000035000000---0.040--4.904%
2010-10-24Rob_Deetwopc100000036000000---0.041--4.929%
2010-10-25Rob_Deetwopc100000037000000---0.042--4.953%
2010-10-26Rob_Deetwopc100000038000000---0.042--4.977%
2010-10-27Rob_Deetwopc100000039000000---0.043--5.000%
2010-10-28Rob_Deetwopc100000040000000---0.044--5.022%
2010-10-29Rob_Deetwopc100000041000000---0.045--5.044%
2010-10-30Rob_Deetwopc100000042000000---0.045--5.065%
2010-10-31Rob_Deetwopc100000043000000---0.046--5.086%
2010-11-01Rob_Deetwopc100000044000000---0.047--5.107%
2010-11-02Rob_Deetwopc100000045000000---0.048--5.127%
2010-11-03Rob_Deetwopc100000046000000---0.049--5.146%
2010-11-04Rob_Deetwopc100000047000000---0.049--5.165%
2010-11-05Rob_Deetwopc100000048000000---0.050--5.184%
2010-11-07Rob_Deetwopc100000049000000---0.051--5.202%
2010-11-08Rob_Deetwopc100000050000000---0.052--5.220%
2010-11-09Rob_Deetwopc100000051000000---0.052--5.238%
2010-11-10Rob_Deetwopc100000052000000---0.053--5.255%
2010-11-12Rob_Deetwopc100000053000000---0.054--5.272%
2010-11-16Rob_Deetwopc100000054000000---0.055--5.289%
2010-11-17Rob_Deetwopc100000055000000---0.055--5.305%
2010-11-26Rob_Deetwopc100000056000000---0.056--5.322%
2010-12-08Rob_Deetwopc100000057000000---0.057--5.337%
2010-12-10Rob_Deetwopc100000058000000---0.058--5.353%
2010-12-11Rob_Deetwopc100000059000000---0.058--5.368%
2010-12-14Rob_Deetwopc100000060000000---0.059--5.383%
2010-12-15Rob_Deetwopc100000061000000---0.060--5.398%
2010-12-16Rob_Deetwopc100000062000000---0.061--5.413%
2010-12-17Rob_Deetwopc100000063000000---0.062--5.427%
2010-12-19Rob_Deetwopc100000064000000---0.062--5.441%
2010-12-20Rob_Deetwopc100000065000000---0.063--5.455%
2010-12-21Rob_Deetwopc100000066000000---0.064--5.469%
2010-12-22Rob_Deetwopc100000067000000---0.065--5.482%
2010-12-23Rob_Deetwopc100000068000000---0.065--5.496%
2010-12-24Rob_Deetwopc100000069000000---0.066--5.509%
2010-12-25Rob_Deetwopc100000070000000---0.067--5.522%
2010-12-26Rob_Deetwopc100000071000000---0.068--5.535%
2010-12-27Rob_Deetwopc100000072000000---0.068--5.547%
2010-12-28Rob_Deetwopc100000073000000---0.069--5.560%
2010-12-29Rob_Deetwopc100000074000000---0.070--5.572%
2010-12-30Rob_Deetwopc100000075000000---0.071--5.584%
2010-12-31Rob_Deetwopc100000076000000---0.071--5.596%
2011-01-01Rob_Deetwopc100000077000000---0.072--5.608%
2011-01-02Rob_Deetwopc100000078000000---0.073--5.619%
2011-01-03Rob_Deetwopc100000079000000---0.074--5.631%
2011-01-04Rob_Deetwopc100000080000000---0.075--5.642%
2011-01-05Rob_Deetwopc100000081000000---0.075--5.654%
2011-01-06Rob_Deetwopc100000082000000---0.076--5.665%
2011-01-07Rob_Deetwopc100000083000000---0.077--5.676%
2011-01-08Rob_Deetwopc100000084000000---0.078--5.686%
2011-01-09Rob_Deetwopc100000085000000---0.078--5.697%
2011-01-11Rob_Deetwopc100000086000000---0.079--5.708%
2011-01-12Rob_Deetwopc100000087000000---0.080--5.718%
2011-01-13Rob_Deetwopc100000088000000---0.081--5.729%
2011-01-14Rob_Deetwopc100000089000000---0.081--5.739%
2011-01-15Rob_Deetwopc100000090000000---0.082--5.749%
2011-01-16Rob_Deetwopc100000091000000---0.083--5.759%
2011-01-17Rob_Deetwopc100000092000000---0.084--5.769%
2011-01-18Rob_Deetwopc100000093000000---0.085--5.779%
2011-01-19Rob_Deetwopc100000094000000---0.085--5.788%
2011-01-20Rob_Deetwopc100000095000000---0.086--5.798%
2011-01-21Rob_Deetwopc100000096000000---0.087--5.807%
2011-01-22Rob_Deetwopc100000097000000---0.088--5.817%
2011-01-23Rob_Deetwopc100000098000000---0.088--5.826%
2011-01-24Rob_Deetwopc100000099000000---0.089--5.835%
2011-01-25Rob_Deetwopc1000000100000000---0.090--5.845%
2011-08-06Jocelyn LaroucheManual testing10454301045430---0.015--1.947%
2012-03-08Jocelyn LaroucheManual testing13067871306787---0.018--2.130%
2013-10-08David Campeaui5-2500k142000045440000---0.054--5.342%
2015-03-03David Campeaui5-2500k8600000576200000---0.556--9.257%
2019-03-21alexlaptop1000000060000000012---0.592--9.404%
2022-11-19Jocelyn LaroucheManual testing150100017720102400---13.59--11.420%
2023-01-13Jocelyn LaroucheManual testing150100034397863500---26.36--12.119%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-01-15masserManual testing2000000058000000027--0.848
2023-01-22masserManual testing2000000062000000012453--0.878
2023-01-25masserManual testing2000000064000000065P-136119.4580.893


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-17ANONYMOUSv4_computers21256--0.023--
2002-01-15ANONYMOUSv4_computers21257--0.046--
2003-12-31ANONYMOUSv4_computers21258--0.093--
2016-02-23Mark RoseManual testing258260--0.279--
2011-08-14Sid & AndyBuzz260261--0.372--
2015-07-14NRManual testing261262--0.744--
2015-11-11Gordon SpenceManual testing262263--2.376--
2015-11-11Gordon SpenceManual testing263264--4.753--
2017-12-17Gordon SpenceManual testing264265--9.045--
2018-12-04Gordon SpenceManual testing265266--18.09--
2022-02-12LordJuliusManual testing266267--36.18--
2022-07-02Gordon SpenceManual testing267268--72.36--


ECM factoring results:
Total ECM effort:33.817 GHz-days
Estimated T-Level:29.863
DigitsB1CompleteFacMiss
201100063.9510.000%
25500009.2360.010%
302500000.97337.808%
3510000000.08092.311%
4030000000.00599.466%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.954
2500002500000058530.86


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01tom ehlertBB09E403008864CE0.004
2002-02-24ANONYMOUSv4_computersBB09E403008864CE0.004


PRP results:
dateuseridcompidcofactorsres64PRP
2023-01-26masserManual testing
912738843135354043284169838350156481
8BDD95FB85DA91C4no


P-1 factor-bounds graph:
B1 = 1501000, B2 = 34397863500 (P-1 stage 2)
B1 = 1501000, B2 = 17720102400 (P-1 stage 2)
B1 = 20000000, B2 = 640000000 (P-1 stage 2)
B1 = 10000000, B2 = 600000000 (P-1 stage 2)
B1 = 8600000, B2 = 576200000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 10000000 (P-1 stage 1)
B1 = 8600000 (P-1 stage 1)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 99000000 (P-1 stage 2)
B1 = 1000000, B2 = 98000000 (P-1 stage 2)
B1 = 1000000, B2 = 97000000 (P-1 stage 2)
B1 = 1000000, B2 = 96000000 (P-1 stage 2)
B1 = 1000000, B2 = 95000000 (P-1 stage 2)
B1 = 1000000, B2 = 94000000 (P-1 stage 2)
B1 = 1000000, B2 = 93000000 (P-1 stage 2)
B1 = 1000000, B2 = 92000000 (P-1 stage 2)
B1 = 1000000, B2 = 91000000 (P-1 stage 2)
B1 = 1000000, B2 = 90000000 (P-1 stage 2)
B1 = 1000000, B2 = 89000000 (P-1 stage 2)
B1 = 1000000, B2 = 88000000 (P-1 stage 2)
B1 = 1000000, B2 = 87000000 (P-1 stage 2)
B1 = 1000000, B2 = 86000000 (P-1 stage 2)
B1 = 1000000, B2 = 85000000 (P-1 stage 2)
B1 = 1000000, B2 = 84000000 (P-1 stage 2)
B1 = 1000000, B2 = 83000000 (P-1 stage 2)
B1 = 1000000, B2 = 82000000 (P-1 stage 2)
B1 = 1000000, B2 = 81000000 (P-1 stage 2)
B1 = 1000000, B2 = 80000000 (P-1 stage 2)
B1 = 1000000, B2 = 79000000 (P-1 stage 2)
B1 = 1000000, B2 = 78000000 (P-1 stage 2)
B1 = 1000000, B2 = 77000000 (P-1 stage 2)
B1 = 1000000, B2 = 76000000 (P-1 stage 2)
B1 = 1000000, B2 = 75000000 (P-1 stage 2)
B1 = 1000000, B2 = 74000000 (P-1 stage 2)
B1 = 1000000, B2 = 73000000 (P-1 stage 2)
B1 = 1000000, B2 = 72000000 (P-1 stage 2)
B1 = 1000000, B2 = 71000000 (P-1 stage 2)
B1 = 1000000, B2 = 70000000 (P-1 stage 2)
B1 = 1000000, B2 = 69000000 (P-1 stage 2)
B1 = 1000000, B2 = 68000000 (P-1 stage 2)
B1 = 1000000, B2 = 67000000 (P-1 stage 2)
B1 = 1000000, B2 = 66000000 (P-1 stage 2)
B1 = 1000000, B2 = 65000000 (P-1 stage 2)
B1 = 1000000, B2 = 64000000 (P-1 stage 2)
B1 = 1000000, B2 = 63000000 (P-1 stage 2)
B1 = 1000000, B2 = 62000000 (P-1 stage 2)
B1 = 1000000, B2 = 61000000 (P-1 stage 2)
B1 = 1000000, B2 = 60000000 (P-1 stage 2)
B1 = 1000000, B2 = 59000000 (P-1 stage 2)
B1 = 1000000, B2 = 58000000 (P-1 stage 2)
B1 = 1000000, B2 = 57000000 (P-1 stage 2)
B1 = 1000000, B2 = 56000000 (P-1 stage 2)
B1 = 1000000, B2 = 55000000 (P-1 stage 2)
B1 = 1000000, B2 = 54000000 (P-1 stage 2)
B1 = 1000000, B2 = 53000000 (P-1 stage 2)
B1 = 1420000, B2 = 45440000 (P-1 stage 2)
B1 = 1000000, B2 = 52000000 (P-1 stage 2)
B1 = 1000000, B2 = 51000000 (P-1 stage 2)
B1 = 1000000, B2 = 50000000 (P-1 stage 2)
B1 = 1000000, B2 = 49000000 (P-1 stage 2)
B1 = 1000000, B2 = 48000000 (P-1 stage 2)
B1 = 1000000, B2 = 47000000 (P-1 stage 2)
B1 = 1000000, B2 = 46000000 (P-1 stage 2)
B1 = 1000000, B2 = 45000000 (P-1 stage 2)
B1 = 1000000, B2 = 44000000 (P-1 stage 2)
B1 = 1000000, B2 = 43000000 (P-1 stage 2)
B1 = 1000000, B2 = 42000000 (P-1 stage 2)
B1 = 1000000, B2 = 41000000 (P-1 stage 2)
B1 = 1000000, B2 = 40000000 (P-1 stage 2)
B1 = 1000000, B2 = 39000000 (P-1 stage 2)
B1 = 1000000, B2 = 38000000 (P-1 stage 2)
B1 = 1000000, B2 = 37000000 (P-1 stage 2)
B1 = 1000000, B2 = 36000000 (P-1 stage 2)
B1 = 1000000, B2 = 35000000 (P-1 stage 2)
B1 = 1000000, B2 = 34000000 (P-1 stage 2)
B1 = 1000000, B2 = 33000000 (P-1 stage 2)
B1 = 1000000, B2 = 32000000 (P-1 stage 2)
B1 = 1000000, B2 = 31000000 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000, B2 = 29000000 (P-1 stage 2)
B1 = 1000000, B2 = 28000000 (P-1 stage 2)
B1 = 1000000, B2 = 27000000 (P-1 stage 2)
B1 = 1000000, B2 = 26000000 (P-1 stage 2)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 1000000, B2 = 24000000 (P-1 stage 2)
B1 = 1000000, B2 = 23000000 (P-1 stage 2)
B1 = 1000000, B2 = 22000000 (P-1 stage 2)
B1 = 1000000, B2 = 21000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000, B2 = 19000000 (P-1 stage 2)
B1 = 1000000, B2 = 18000000 (P-1 stage 2)
B1 = 1000000, B2 = 17000000 (P-1 stage 2)
B1 = 1000000, B2 = 16000000 (P-1 stage 2)
B1 = 1000000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 14000000 (P-1 stage 2)
B1 = 1000000, B2 = 13000000 (P-1 stage 2)
B1 = 1000000, B2 = 12000000 (P-1 stage 2)
B1 = 1000000, B2 = 11000000 (P-1 stage 2)
B1 = 1501000 (P-1 stage 1)
B1 = 1000000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000, B2 = 9000000 (P-1 stage 2)
B1 = 1420000 (P-1 stage 1)
B1 = 1000000, B2 = 8000000 (P-1 stage 2)
B1 = 1000000, B2 = 7000000 (P-1 stage 2)
B1 = 1306787 (P-1 stage 1)
B1 = 1000000, B2 = 6000000 (P-1 stage 2)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000, B2 = 4000000 (P-1 stage 2)
B1 = 1000000, B2 = 3000000 (P-1 stage 2)
B1 = 1000000, B2 = 2000000 (P-1 stage 2)
B1 = 1045430 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000, B2 = 1000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
257
256
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=29.86 ~= 83-bit
250
260
270
280
290
2100
2110
2120
Last modified: 2023-03-25T13:08:14+00:00