is 2 428801 - 1
has 129082 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L586B87A77C67B8DDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268139.003672.0588 %8000000017205123335401,602.132921.8694 %1,741.136578.1694 %
Target2440.000056.8182 %700011000000.001113.1845 %0.001162.5115 %
Difference+24+139.0036+15.2406 %+79993000+1720511233540+1,602.1318+8.6849%+1,741.1354+15.6579 %

Known prime factors:
No known factors for M428801

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00010.805%
2001-12-22ANONYMOUSv4_computers500001000000--0.00219.165%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00421.807%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00724.446%
2003-04-03ANONYMOUSv4_computers1310721310720030--0.01427.035%
2010-08-04Rob_Deetwopc5000001000000--0.00919.675%
2010-08-05Rob_Deetwopc100000020000006--0.01821.851%
2012-05-29JossManual testing29879162987916--0.05122.612%
2013-01-08markrManual testing25000000100000000012--1.33441.809%
2023-01-15JossManual testing298891616747130400--16.5648.278%
2023-05-19JossManual testing298891648271423200--47.6450.645%
2023-10-15masserManual testing800000001720512333540--1,39061.510%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-01-15masserManual testing2000000062000000011829--0.925
2023-01-15masserManual testing2000000064000000027--0.941
2023-01-22masserManual testing2000000064000000065--0.941


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.022
2002-01-28ANONYMOUSv4_computers212570.045
2004-01-07ANONYMOUSv4_computers212580.090
2016-02-23Mark RoseManual testing2582600.269
2010-06-05Architects Cubedm1_f22602610.358
2015-07-16NRManual testing2612620.716
2015-11-16Gordon SpenceManual testing2622646.868
2017-12-21Gordon SpenceManual testing2642658.714
2018-12-11Gordon SpenceManual testing26526617.43
2022-02-06LordJuliusManual testing266268104.6


ECM factoring results:
Total ECM effort:40.823 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
5000050000002803.354
2500002500000058537.47


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-10ANONYMOUSv4_computers586B87A77C67B8DD0.005


PRP results:
No PRP results for M428801


CERT results:
No CERT results for M428801


P-1 factor-bounds graph:
B1 = 80000000, B2 = 1720512333540 (P-1 stage 2)
B1 = 2988916, B2 = 48271423200 (P-1 stage 2)
B1 = 2988916, B2 = 16747130400 (P-1 stage 2)
B1 = 80000000 (P-1 stage 1)
B1 = 25000000, B2 = 1000000000 (P-1 stage 2)
B1 = 25000000 (P-1 stage 1)
B1 = 2988916 (P-1 stage 1)
B1 = 2987916 (P-1 stage 1)
B1 = 1000000, B2 = 2000000 (P-1 stage 2)
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 = 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)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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262
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.86 ~= 83-bit
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Last modified: 2024-03-13T02:15:48+00:00