is 2 418129 - 1
has 125870 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-L10DF7B50E71D9F8Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268142.551472.0588%200000007902676782060.789316.3048%203.340876.6146%
Target2440.000056.8182%700011000000.000913.1405%0.000962.4925%
Difference+24+142.5514+15.2406%+19993000+79025667820+60.7884+3.1644%+203.3398+14.1221%

Known prime factors (1 factor, 130.0 bits, 0.03109106% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
418129136181432463210143711975269662861778099940130.00071628461939535527836050301099216531
3 × 23 × 41 × 157 × 41389 × 1617619 × 14955517 × 3661697041
2023-08-211495551736616970414.004e+113.00315.2377

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-11-24ANONYMOUSv4_computers500001000000---0.001--1.277%
2001-12-01ANONYMOUSv4_computers500001000000---0.001--1.277%
2002-06-15ANONYMOUSv4_computers327683276800---0.003--1.483%
2002-08-24ANONYMOUSv4_computers655366553600---0.006--2.141%
2003-03-27ANONYMOUSv4_computers13107213107200---0.012--2.925%
2006-02-01Jocelyn Larouchev4_computers418129418129---0.006--1.298%
2010-07-17Rob_Deetwopc5000001000000---0.007--1.882%
2010-07-18Rob_Deetwopc10000002000000---0.015--2.478%
2010-07-21Rob_Deetwopc10000003000000---0.016--2.811%
2010-07-22Rob_Deetwopc10000004000000---0.016--3.050%
2010-07-23Rob_Deetwopc10000005000000---0.017--3.236%
2010-07-24Rob_Deetwopc10000006000000---0.018--3.390%
2010-07-25Rob_Deetwopc10000007000000---0.019--3.520%
2010-07-26Rob_Deetwopc10000008000000---0.019--3.633%
2010-07-27Rob_Deetwopc10000009000000---0.020--3.733%
2010-09-26Rob_Deetwopc100000010000000---0.021--3.823%
2010-09-27Rob_Deetwopc100000011000000---0.022--3.904%
2010-09-28Rob_Deetwopc100000012000000---0.022--3.979%
2010-09-29Rob_Deetwopc100000013000000---0.023--4.047%
2010-09-30Rob_Deetwopc100000014000000---0.024--4.111%
2010-10-01Rob_Deetwopc100000015000000---0.025--4.171%
2010-10-02Rob_Deetwopc100000016000000---0.026--4.226%
2010-10-03Rob_Deetwopc100000017000000---0.026--4.279%
2010-10-04Rob_Deetwopc100000018000000---0.027--4.328%
2010-10-05Rob_Deetwopc100000019000000---0.028--4.375%
2010-10-06Rob_Deetwopc100000020000000---0.029--4.420%
2010-10-07Rob_Deetwopc100000021000000---0.029--4.463%
2010-10-08Rob_Deetwopc100000022000000---0.030--4.503%
2010-10-09Rob_Deetwopc100000023000000---0.031--4.542%
2010-10-10Rob_Deetwopc100000024000000---0.032--4.579%
2010-10-11Rob_Deetwopc100000025000000---0.032--4.615%
2010-10-12Rob_Deetwopc100000026000000---0.033--4.649%
2010-10-13Rob_Deetwopc100000027000000---0.034--4.682%
2010-10-14Rob_Deetwopc100000028000000---0.035--4.714%
2010-10-15Rob_Deetwopc100000029000000---0.036--4.745%
2010-10-17Rob_Deetwopc100000030000000---0.036--4.775%
2010-10-18Rob_Deetwopc100000031000000---0.037--4.804%
2010-10-19Rob_Deetwopc100000032000000---0.038--4.832%
2010-10-21Rob_Deetwopc100000033000000---0.039--4.859%
2010-10-22Rob_Deetwopc100000034000000---0.039--4.885%
2010-10-23Rob_Deetwopc100000035000000---0.040--4.911%
2010-10-24Rob_Deetwopc100000036000000---0.041--4.936%
2010-10-25Rob_Deetwopc100000037000000---0.042--4.960%
2010-10-26Rob_Deetwopc100000038000000---0.042--4.984%
2010-10-27Rob_Deetwopc100000039000000---0.043--5.007%
2010-10-28Rob_Deetwopc100000040000000---0.044--5.029%
2010-10-29Rob_Deetwopc100000041000000---0.045--5.051%
2010-10-30Rob_Deetwopc100000042000000---0.045--5.072%
2010-10-31Rob_Deetwopc100000043000000---0.046--5.093%
2010-11-01Rob_Deetwopc100000044000000---0.047--5.114%
2010-11-02Rob_Deetwopc100000045000000---0.048--5.134%
2010-11-03Rob_Deetwopc100000046000000---0.049--5.153%
2010-11-04Rob_Deetwopc100000047000000---0.049--5.172%
2010-11-05Rob_Deetwopc100000048000000---0.050--5.191%
2010-11-07Rob_Deetwopc100000049000000---0.051--5.210%
2010-11-08Rob_Deetwopc100000050000000---0.052--5.228%
2010-11-09Rob_Deetwopc100000051000000---0.052--5.245%
2010-11-10Rob_Deetwopc100000052000000---0.053--5.263%
2010-11-12Rob_Deetwopc100000053000000---0.054--5.280%
2010-11-16Rob_Deetwopc100000054000000---0.055--5.296%
2010-11-17Rob_Deetwopc100000055000000---0.055--5.313%
2010-11-26Rob_Deetwopc100000056000000---0.056--5.329%
2010-12-08Rob_Deetwopc100000057000000---0.057--5.345%
2010-12-10Rob_Deetwopc100000058000000---0.058--5.360%
2010-12-11Rob_Deetwopc100000059000000---0.058--5.376%
2010-12-14Rob_Deetwopc100000060000000---0.059--5.391%
2010-12-15Rob_Deetwopc100000061000000---0.060--5.406%
2010-12-16Rob_Deetwopc100000062000000---0.061--5.420%
2010-12-17Rob_Deetwopc100000063000000---0.062--5.435%
2010-12-19Rob_Deetwopc100000064000000---0.062--5.449%
2010-12-20Rob_Deetwopc100000065000000---0.063--5.463%
2010-12-21Rob_Deetwopc100000066000000---0.064--5.476%
2010-12-22Rob_Deetwopc100000067000000---0.065--5.490%
2010-12-23Rob_Deetwopc100000068000000---0.065--5.503%
2010-12-24Rob_Deetwopc100000069000000---0.066--5.516%
2010-12-25Rob_Deetwopc100000070000000---0.067--5.529%
2010-12-26Rob_Deetwopc100000071000000---0.068--5.542%
2010-12-27Rob_Deetwopc100000072000000---0.068--5.555%
2010-12-28Rob_Deetwopc100000073000000---0.069--5.567%
2010-12-29Rob_Deetwopc100000074000000---0.070--5.580%
2010-12-30Rob_Deetwopc100000075000000---0.071--5.592%
2010-12-31Rob_Deetwopc100000076000000---0.071--5.604%
2011-01-01Rob_Deetwopc100000077000000---0.072--5.615%
2011-01-02Rob_Deetwopc100000078000000---0.073--5.627%
2011-01-03Rob_Deetwopc100000079000000---0.074--5.639%
2011-01-04Rob_Deetwopc100000080000000---0.075--5.650%
2011-01-05Rob_Deetwopc100000081000000---0.075--5.661%
2011-01-06Rob_Deetwopc100000082000000---0.076--5.672%
2011-01-07Rob_Deetwopc100000083000000---0.077--5.683%
2011-01-08Rob_Deetwopc100000084000000---0.078--5.694%
2011-01-09Rob_Deetwopc100000085000000---0.078--5.705%
2011-01-11Rob_Deetwopc100000086000000---0.079--5.716%
2011-01-12Rob_Deetwopc100000087000000---0.080--5.726%
2011-01-13Rob_Deetwopc100000088000000---0.081--5.736%
2011-01-14Rob_Deetwopc100000089000000---0.081--5.747%
2011-01-15Rob_Deetwopc100000090000000---0.082--5.757%
2011-01-16Rob_Deetwopc100000091000000---0.083--5.767%
2011-01-17Rob_Deetwopc100000092000000---0.084--5.777%
2011-01-18Rob_Deetwopc100000093000000---0.085--5.787%
2011-01-19Rob_Deetwopc100000094000000---0.085--5.796%
2011-01-20Rob_Deetwopc100000095000000---0.086--5.806%
2011-01-21Rob_Deetwopc100000096000000---0.087--5.815%
2011-01-22Rob_Deetwopc100000097000000---0.088--5.825%
2011-01-23Rob_Deetwopc100000098000000---0.088--5.834%
2011-01-24Rob_Deetwopc100000099000000---0.089--5.843%
2011-01-25Rob_Deetwopc1000000100000000---0.090--5.853%
2011-08-06Jocelyn LaroucheManual testing10290561029056---0.014--1.938%
2012-03-10Jocelyn LaroucheManual testing12863201286320---0.018--2.120%
2013-08-30David Campeaui5-2500k251000087850000---0.101--6.332%
2016-01-03Jocelyn LaroucheManual testing83130028313002012---0.174--6.835%
2016-01-10Jocelyn LaroucheManual testing99756029975602012---0.209--7.129%
2016-03-28Jocelyn LaroucheManual testing1197072211970722---0.168--4.439%
2016-06-02Jocelyn LaroucheManual testing1197072219951204012---0.312--8.092%
2016-06-23Jocelyn LaroucheManual testing1197072239902408012---0.465--8.993%
2018-11-18Jocelyn LaroucheManual testing1207072212070722---0.170--4.449%
2022-11-19Jocelyn LaroucheManual testing1326165716747130400---13.00--13.895%
2023-01-13Jocelyn LaroucheManual testing1326165728245467250---21.81--14.560%
2023-07-22JossJoss1326165775531906450---58.02--15.803%
2023-08-21JossJoss200000007902676782040130.000760.790.008121.616.305%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-12-25masserManual testing2000000062000000016517--0.878
2022-12-25masserManual testing2000000064000000027--0.893
2022-12-31masserManual testing2000000064000000065--0.893


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-25ANONYMOUSv4_computers21256--0.023--
2002-01-15ANONYMOUSv4_computers21257--0.046--
2003-12-31ANONYMOUSv4_computers21258--0.092--
2016-02-23Mark RoseManual testing258260--0.275--
2011-09-11Sid & AndyBuzz260261--0.367--
2015-07-15NRManual testing261262--0.735--
2015-11-13Gordon SpenceManual testing262263--2.348--
2015-11-13Gordon SpenceManual testing263264--4.695--
2018-01-06BloodERazorManual testing264265--8.936--
2018-12-06Gordon SpenceManual testing265266--17.87--
2022-02-08LordJuliusManual testing266267--35.74--
2022-02-08LordJuliusManual testing267268--71.49--


ECM factoring results:
Total ECM effort:33.818 GHz-days
Estimated T-Level:29.811
DigitsB1CompleteFacMiss
201100066.2060.000%
25500009.3140.009%
302500000.96238.203%
3510000000.07892.482%
4030000000.00599.482%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003934.149
2500002500000056229.67


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Jens J Loesel10DF7B50E71D9F8B0.004
2002-03-10ANONYMOUSv4_computers10DF7B50E71D9F8B0.004


PRP results:
dateuseridcompidcofactorsres64PRP
2023-08-21Naegi Makoto5950X
1361814324632101437119752696628617780999
9C773D6B9B202A26no


P-1 factor-bounds graph:
B1 = 20000000, B2 = 79026767820 (P-1 stage 2)
B1 = 13261657, B2 = 75531906450 (P-1 stage 2)
B1 = 13261657, B2 = 28245467250 (P-1 stage 2)
B1 = 13261657, B2 = 16747130400 (P-1 stage 2)
B1 = 11970722, B2 = 399024080 (P-1 stage 2)
B1 = 11970722, B2 = 199512040 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 9975602, B2 = 99756020 (P-1 stage 2)
B1 = 13261657 (P-1 stage 1)
B1 = 8313002, B2 = 83130020 (P-1 stage 2)
B1 = 12070722 (P-1 stage 1)
B1 = 11970722 (P-1 stage 1)
B1 = 9975602 (P-1 stage 1)
B1 = 8313002 (P-1 stage 1)
B1 = 2510000, B2 = 87850000 (P-1 stage 2)
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 = 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 = 2510000 (P-1 stage 1)
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 = 1000000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000, B2 = 9000000 (P-1 stage 2)
B1 = 1000000, B2 = 8000000 (P-1 stage 2)
B1 = 1000000, B2 = 7000000 (P-1 stage 2)
B1 = 1286320 (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 = 1029056 (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 = 418129 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (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: 67.9
ECM T-Level=29.81 ~= 82-bit
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2023-09-25T11:53:03+00:00