is 2 1008937 - 1
has 303721 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-LFBD5A3EE35E7ED89double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26729.450770.1493 %1000000011100000003.005411.7673 %32.456173.6619 %
Target2600.152266.6667 %4500800000.00040.5783 %0.152666.8594 %
Difference+7+29.2985+3.4826 %+9995500+1109920000+3.0050+11.1890%+32.3035+6.8025 %

Known prime factors (1 factor, 68.3 bits, 0.00677249% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10089373710428322404850506732168.330183878097562328
23 × 13 × 1768058630407
2011-01-2013176805863040759.0774,139.97,732.1

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-09-22ANONYMOUSv4_computers10000127500--0.0011.659%
2002-08-10Jossv4_computers1100011000--0.0000.542%
2002-08-10Jossv4_computers1300013000--0.0010.616%
2002-08-10Jossv4_computers1500015000--0.0010.685%
2002-08-10Jossv4_computers1400014000--0.0010.651%
2002-08-10Jossv4_computers1200012000--0.0010.580%
2002-09-14Jossv4_computers2600026000--0.0010.999%
2002-09-14Jossv4_computers2700027000--0.0011.023%
2002-09-22Jossv4_computers3276832768--0.0011.154%
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.940%
2003-11-16eteov4_computers200000200000012--0.0135.708%
2003-12-13eteov4_computers10000002000000012--0.0879.990%
2010-08-20Rob_Deetwopc12000001400000--0.0525.633%
2010-08-21Rob_Deetwopc14000001600000--0.0615.854%
2010-08-22Rob_Deetwopc16000001800000--0.0696.051%
2010-08-23Rob_Deetwopc18000002000000--0.0786.230%
2010-08-24Rob_Deetwopc20000002200000--0.0866.393%
2010-08-25Rob_Deetwopc22000002400000--0.0956.543%
2010-08-26Rob_Deetwopc24000002600000--0.1046.683%
2010-08-27Rob_Deetwopc26000002800000--0.1126.813%
2010-08-28Rob_Deetwopc28000003000000--0.1216.935%
2010-08-29Rob_Deetwopc30000003200000--0.1297.050%
2010-08-30Rob_Deetwopc32000003400000--0.1387.158%
2010-08-31Rob_Deetwopc34000003600000--0.1477.260%
2010-09-01Rob_Deetwopc36000003800000--0.1557.358%
2010-09-02Rob_Deetwopc38000004000000--0.1647.451%
2010-09-03Rob_Deetwopc40000004200000--0.1727.540%
2010-09-04Rob_Deetwopc42000004400000--0.1817.624%
2010-09-05Rob_Deetwopc44000004600000--0.1907.706%
2010-09-06Rob_Deetwopc46000004800000--0.1987.784%
2010-09-07Rob_Deetwopc48000005000000--0.2077.859%
2010-09-08Rob_Deetwopc50000005100000--0.2157.893%
2016-03-17alpertronManual testing3000001000000012---8.116%
2021-06-22ViliamF3100000001110000000--2.59618.450%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-06ANONYMOUSv4_computers212570.019
2002-12-25ANONYMOUSv4_computers212580.038
2022-03-07LordJuliusManual testing258260
2009-02-14Sturle Sundeghibu.ifi2602610.152
2010-11-04Michael CManual testing2612620.304
2010-11-04Michael CManual testing2622630.973
2010-11-04Michael CManual testing2632641.946


ECM factoring results:
Total ECM effort:27.185 GHz-days
Estimated T-Level:26.057
DigitsB1CompleteFacMiss
201100019.5690.000%
25500002.3309.732%
302500000.21180.937%
3510000000.01698.450%


ECM Summary

B1B2factorcurvesGHz-days
10.035
5000050000002809.60
250000350000008817.55


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-02ANONYMOUSv4_computersFBD5A3EE35E7ED890.030
2010-01-08Rob_DeetwopcFBD5A3EE35E7ED890.030


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
371042832240485050673
E73F6BAE3D7CF86F
2017-10-15Oliver KruseThreadripper-PC
371042832240485050673
E73F6BAE3D7CF86F
2017-12-27ATHec2-1xh
371042832240485050673
E73F6BAE3D7CF86F


CERT results:
No CERT results for M1008937


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1110000000 (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 = 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 = 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 = 1000000, B2 = 20000000 (P-1 stage 2)
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 = 1200000, B2 = 1400000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 27000 (P-1 stage 1)
B1 = 26000 (P-1 stage 1)
B1 = 10000, B2 = 127500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 14000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 13000 (P-1 stage 1)
B1 = 12000 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=26.06 ~= 70-bit
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Last modified: 2024-02-09T03:30:02+00:00