is 2 418189 - 1
has 125888 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEF8DE50FEF869D26double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268142.531072.0588 %8200000016997834353501,302.887921.8493 %1,445.418978.1638 %
Target2440.000056.8182 %700011000000.000913.1407 %0.000962.4926 %
Difference+24+142.5309+15.2406 %+81993000+1699782335350+1,302.8870+8.7086%+1,445.4179+15.6712 %

Known prime factors:
No known factors for M418189

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-11-24ANONYMOUSv4_computers500001000000--0.00119.118%
2001-12-01ANONYMOUSv4_computers500001000000--0.00119.118%
2002-06-15ANONYMOUSv4_computers32768327680012--0.00321.756%
2002-08-24ANONYMOUSv4_computers65536655360012--0.00624.395%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.01226.983%
2006-02-01Jossv4_computers418189418189--0.00616.586%
2010-07-17Rob_Deetwopc5000001000000--0.00719.632%
2010-07-18Rob_Deetwopc100000020000006--0.01521.808%
2010-07-21Rob_Deetwopc100000030000006--0.01623.246%
2010-07-22Rob_Deetwopc100000040000006--0.01624.243%
2010-07-23Rob_Deetwopc100000050000006--0.01725.002%
2010-07-24Rob_Deetwopc100000060000006--0.01825.615%
2010-07-25Rob_Deetwopc100000070000006--0.01926.127%
2010-07-26Rob_Deetwopc100000080000006--0.01926.567%
2010-07-27Rob_Deetwopc100000090000006--0.02026.951%
2010-09-26Rob_Deetwopc1000000100000006--0.02127.293%
2010-09-27Rob_Deetwopc1000000110000006--0.02227.600%
2010-09-28Rob_Deetwopc1000000120000006--0.02227.879%
2010-09-29Rob_Deetwopc1000000130000006--0.02328.134%
2010-09-30Rob_Deetwopc1000000140000006--0.02428.369%
2010-10-01Rob_Deetwopc1000000150000006--0.02528.586%
2010-10-02Rob_Deetwopc1000000160000006--0.02628.789%
2010-10-03Rob_Deetwopc1000000170000006--0.02628.979%
2010-10-04Rob_Deetwopc1000000180000006--0.02729.157%
2010-10-05Rob_Deetwopc1000000190000006--0.02829.325%
2010-10-06Rob_Deetwopc1000000200000006--0.02929.484%
2010-10-07Rob_Deetwopc1000000210000006--0.02929.635%
2010-10-08Rob_Deetwopc1000000220000006--0.03029.778%
2010-10-09Rob_Deetwopc1000000230000006--0.03129.915%
2010-10-10Rob_Deetwopc1000000240000006--0.03230.045%
2010-10-11Rob_Deetwopc1000000250000006--0.03230.170%
2010-10-12Rob_Deetwopc1000000260000004--0.03330.289%
2010-10-13Rob_Deetwopc1000000270000004--0.03430.404%
2010-10-14Rob_Deetwopc1000000280000004--0.03530.514%
2010-10-15Rob_Deetwopc1000000290000004--0.03630.621%
2010-10-17Rob_Deetwopc1000000300000004--0.03630.723%
2010-10-18Rob_Deetwopc1000000310000004--0.03730.822%
2010-10-19Rob_Deetwopc1000000320000004--0.03830.917%
2010-10-21Rob_Deetwopc1000000330000004--0.03931.010%
2010-10-22Rob_Deetwopc1000000340000004--0.03931.099%
2010-10-23Rob_Deetwopc1000000350000004--0.04031.186%
2010-10-24Rob_Deetwopc1000000360000004--0.04131.270%
2010-10-25Rob_Deetwopc1000000370000004--0.04231.352%
2010-10-26Rob_Deetwopc1000000380000004--0.04231.431%
2010-10-27Rob_Deetwopc1000000390000004--0.04331.508%
2010-10-28Rob_Deetwopc1000000400000004--0.04431.583%
2010-10-29Rob_Deetwopc1000000410000004--0.04531.657%
2010-10-30Rob_Deetwopc1000000420000004--0.04531.728%
2010-10-31Rob_Deetwopc1000000430000004--0.04631.797%
2010-11-01Rob_Deetwopc1000000440000004--0.04731.865%
2010-11-02Rob_Deetwopc1000000450000004--0.04831.931%
2010-11-03Rob_Deetwopc1000000460000004--0.04931.996%
2010-11-04Rob_Deetwopc100000047000000--0.04932.059%
2010-11-05Rob_Deetwopc100000048000000--0.05032.121%
2010-11-07Rob_Deetwopc100000049000000--0.05132.182%
2010-11-08Rob_Deetwopc100000050000000--0.05232.241%
2010-11-09Rob_Deetwopc100000051000000--0.05232.299%
2010-11-10Rob_Deetwopc100000052000000--0.05332.355%
2010-11-12Rob_Deetwopc100000053000000--0.05432.411%
2010-11-16Rob_Deetwopc100000054000000--0.05532.465%
2010-11-17Rob_Deetwopc100000055000000--0.05532.519%
2010-11-26Rob_Deetwopc100000056000000--0.05632.571%
2010-12-08Rob_Deetwopc100000057000000--0.05732.623%
2010-12-10Rob_Deetwopc100000058000000--0.05832.673%
2010-12-11Rob_Deetwopc100000059000000--0.05832.723%
2010-12-14Rob_Deetwopc100000060000000--0.05932.771%
2010-12-15Rob_Deetwopc100000061000000--0.06032.819%
2010-12-16Rob_Deetwopc100000062000000--0.06132.866%
2010-12-17Rob_Deetwopc100000063000000--0.06232.912%
2010-12-19Rob_Deetwopc100000064000000--0.06232.958%
2010-12-20Rob_Deetwopc100000065000000--0.06333.003%
2010-12-21Rob_Deetwopc100000066000000--0.06433.046%
2010-12-22Rob_Deetwopc100000067000000--0.06533.090%
2010-12-23Rob_Deetwopc100000068000000--0.06533.132%
2010-12-24Rob_Deetwopc100000069000000--0.06633.174%
2010-12-25Rob_Deetwopc100000070000000--0.06733.216%
2010-12-26Rob_Deetwopc100000071000000--0.06833.256%
2010-12-27Rob_Deetwopc100000072000000--0.06833.296%
2010-12-28Rob_Deetwopc100000073000000--0.06933.336%
2010-12-29Rob_Deetwopc100000074000000--0.07033.375%
2010-12-30Rob_Deetwopc100000075000000--0.07133.413%
2010-12-31Rob_Deetwopc100000076000000--0.07133.451%
2011-01-01Rob_Deetwopc100000077000000--0.07233.488%
2011-01-02Rob_Deetwopc100000078000000--0.07333.525%
2011-01-03Rob_Deetwopc100000079000000--0.07433.561%
2011-01-04Rob_Deetwopc100000080000000--0.07533.597%
2011-01-05Rob_Deetwopc100000081000000--0.07533.632%
2011-01-06Rob_Deetwopc100000082000000--0.07633.667%
2011-01-07Rob_Deetwopc100000083000000--0.07733.702%
2011-01-08Rob_Deetwopc100000084000000--0.07833.736%
2011-01-09Rob_Deetwopc100000085000000--0.07833.769%
2011-01-11Rob_Deetwopc100000086000000--0.07933.802%
2011-01-12Rob_Deetwopc100000087000000--0.08033.835%
2011-01-13Rob_Deetwopc100000088000000--0.08133.868%
2011-01-14Rob_Deetwopc100000089000000--0.08133.900%
2011-01-15Rob_Deetwopc100000090000000--0.08233.931%
2011-01-16Rob_Deetwopc100000091000000--0.08333.962%
2011-01-17Rob_Deetwopc100000092000000--0.08433.993%
2011-01-18Rob_Deetwopc100000093000000--0.08534.024%
2011-01-19Rob_Deetwopc100000094000000--0.08534.054%
2011-01-20Rob_Deetwopc100000095000000--0.08634.084%
2011-01-21Rob_Deetwopc100000096000000--0.08734.113%
2011-01-22Rob_Deetwopc100000097000000--0.08834.142%
2011-01-23Rob_Deetwopc100000098000000--0.08834.171%
2011-01-24Rob_Deetwopc100000099000000--0.08934.200%
2011-01-25Rob_Deetwopc1000000100000000--0.09034.228%
2011-08-06JossManual testing10288641028864--0.01419.339%
2012-03-10JossManual testing12860801286080--0.01820.019%
2013-08-30David Campeaui5-2500k25100008785000012--0.10134.228%
2016-01-03JossManual testing83130028313002012--0.17433.983%
2016-01-10JossManual testing99756029975602012--0.20934.536%
2016-03-28JossManual testing1197072211970722---26.673%
2016-06-02JossManual testing1197072219951204012--0.31236.778%
2016-06-23JossManual testing1197072239902408012--0.46538.989%
2022-11-19JossManual testing1336162716747130400--16.7449.503%
2023-01-13JossManual testing1336162728245467250--26.5050.804%
2023-07-22JossJoss1336162775531906450--74.6953.155%
2023-08-21JossJoss2000000079026767820--78.2553.569%
2023-10-09masserManual testing820000001699783435350--1,30361.446%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-12-25masserManual testing200000006200000008147--0.878
2022-12-26masserManual testing2000000064000000027--0.893
2022-12-31masserManual testing2000000064000000065--0.893


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.023
2002-01-15ANONYMOUSv4_computers212570.046
2003-12-31ANONYMOUSv4_computers212580.092
2016-02-23Mark RoseManual testing2582600.275
2011-09-12Sid & AndyBuzz2602610.367
2015-07-15NRManual testing2612620.735
2015-11-13Gordon SpenceManual testing2622632.347
2015-11-13Gordon SpenceManual testing2632644.695
2018-01-06BloodERazorManual testing2642658.935
2018-12-06Gordon SpenceManual testing26526617.87
2022-02-08LordJuliusManual testing26626735.74
2022-02-08LordJuliusManual testing26726871.48


ECM factoring results:
Total ECM effort:33.640 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
5000050000003933.971
2500002500000056229.67


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-10ANONYMOUSv4_computersEF8DE50FEF869D260.004


PRP results:
No PRP results for M418189


CERT results:
No CERT results for M418189


P-1 factor-bounds graph:
B1 = 82000000, B2 = 1699783435350 (P-1 stage 2)
B1 = 20000000, B2 = 79026767820 (P-1 stage 2)
B1 = 13361627, B2 = 75531906450 (P-1 stage 2)
B1 = 13361627, B2 = 28245467250 (P-1 stage 2)
B1 = 13361627, B2 = 16747130400 (P-1 stage 2)
B1 = 82000000 (P-1 stage 1)
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 = 13361627 (P-1 stage 1)
B1 = 8313002, B2 = 83130020 (P-1 stage 2)
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 = 1286080 (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 = 1028864 (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 = 418189 (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
1012
1013
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
ECM T-Level=29.81 ~= 82-bit
250
260
270
280
290
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Last modified: 2024-02-09T03:30:02+00:00