is 2 902227 - 1
has 271598 decimal digits
takes 0.022 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7DEEA21BC7513F07double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26732.934070.1493 %100000005000000001.290310.5543 %34.224373.2998 %
Target2440.000054.5455 %1500030000000.006217.9916 %0.006262.7234 %
Difference+23+32.9340+15.6038 %+9985000+497000000+1.2841-7.4373 %+34.2181+10.5764 %

Known prime factors (2 factors, 157.9 bits, 0.01749693% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9022273078536882418714238632168.061170607667605753
3 × 7 × 23 × 353224984691
2016-02-192335322498469166.064676.691,263.9
90222710786296295970337284475891132889.801597759560286398948628
22 × 32 × 31 × 47 × 11396315875207789
2014-05-304711396315875207789138,958,12221,832,49240,777,015

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-31ANONYMOUSv4_computers550001200000--0.00421.175%
2002-04-20ANONYMOUSv4_computers163841638400--0.00420.626%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00723.342%
2002-12-09ANONYMOUSv4_computers65536655360012--0.01526.006%
2003-07-30ANONYMOUSv4_computers1310721310720012--0.02928.611%
2011-06-09JossManual testing200000200000--0.00715.542%
2011-07-12JossManual testing227781227781--0.00815.947%
2011-09-11JossManual testing379636379636--0.01317.538%
2011-10-15JossManual testing759272759272--0.02719.692%
2012-05-05JossManual testing11389081138908--0.04020.946%
2013-10-28David Campeaui5-2500k11750003760000012--0.11133.036%
2014-05-08alpertronManual testing1000000050000000012--1.29041.271%
2016-03-17alpertronManual testing20000050000006---26.196%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-09-23ANONYMOUSv4_computers212560.011
2001-09-30ANONYMOUSv4_computers212570.021
2003-02-09ANONYMOUSv4_computers212580.043
2022-03-07LordJuliusManual testing258260
2010-05-23Architects Cubedm1_fw2602610.170


ECM factoring results:
Total ECM effort:311.865 GHz-days
Estimated T-Level:29.009
DigitsB1CompleteFacMiss
201100030.4620.000%
25500005.5880.374%
302500000.80244.854%
3510000000.09690.848%
4030000000.01099.033%


ECM Summary

B1B2factorcurvesGHz-days
10.253
5000050000002567.066
500005000000160.450
25000025000000446.181
1000000156214558580297.9


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-05-06ANONYMOUSv4_computers7DEEA21BC7513F070.022


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-2
1078629629597033728447589113
307853688241871423863
C0382FFC3E99623D
2017-10-05Oliver KruseManual testing
1078629629597033728447589113
307853688241871423863
C0382FFC3E99623D
2017-10-14Oliver KruseThreadripper-PC
307853688241871423863
1078629629597033728447589113
C0382FFC3E99623D
2017-12-20ATHec2-1xh
307853688241871423863
1078629629597033728447589113
C0382FFC3E99623D
2020-04-23Oliver KruseAddPrpType5
307853688241871423863
1078629629597033728447589113
6B67F9F8987A49D2


CERT results:
No CERT results for M902227


P-1 factor-bounds graph:
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1175000, B2 = 37600000 (P-1 stage 2)
B1 = 1175000 (P-1 stage 1)
B1 = 1138908 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 759272 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 379636 (P-1 stage 1)
B1 = 227781 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 55000, B2 = 1200000 (P-1 stage 2)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.01 ~= 80-bit
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Last modified: 2024-03-03T02:29:32+00:00