is 2 2152169 - 1
has 647868 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L32AC54BE41FAD0F3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual270111.027868.5714 %5000000989699403051.858212.2023 %162.886072.4064 %
Target2620.285564.5161 %100008000000.00511.5181 %0.290565.0548 %
Difference+8+110.7424+4.0553 %+4990000+9896194030+51.8531+10.6841%+162.5955+7.3516 %

Known prime factors:
No known factors for M2152169

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-07ANONYMOUSv4_computers204820480012--0.0010.775%
2010-11-03JossManual testing2000020000--0.0020.711%
2010-12-30JossManual testing3000030000--0.0030.933%
2011-01-15JossManual testing5000050000--0.0051.271%
2011-01-24James Heinrichi7-92013500026662506--0.0265.204%
2016-05-01JossManual testing270000995472612--0.0767.248%
2017-10-04JossManual testing54000054000006---6.880%
2017-11-14JossManual testing6480001095019812--0.1157.977%
2017-12-11mikrMSI250000012500000012--0.87512.586%
2021-06-22Dylan Delgadolaptop-ryzen737003000000393000000--2.31214.583%
2023-01-02Architects Cubedgpu72ng50000009896994030--54.7120.224%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-29ANONYMOUSv4_computers212580.018
2016-02-23Mark RoseManual testing2582600.054
2009-01-04Sturle Sunderodolfo.ifi2602610.071
2009-01-08Sturle Sundeklughardt.ifi2612620.143
2013-09-08ramgeisManual testing2622630.456
2015-03-22VictordeHollanderManual testing2632640.912
2015-03-22VictordeHollanderManual testing2642651.736
2015-12-30ramgeisManual testing2652663.472
2016-11-03Gordon SpenceManual testing2662676.944
2019-05-20TJAOIManual testing26726813.89
2021-07-29TJAOIManual testing26826927.78
2023-02-24Architects CubedGPU72_TF26927055.56


ECM factoring results:
Total ECM effort:17.943 GHz-days
Estimated T-Level:23.640
DigitsB1CompleteFacMiss
20110007.9200.036%
25500000.72848.285%
302500000.04695.515%
3510000000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
110001100000100.188
500005000070.355
50000500000017815.09
50000670000070.681
500006750000141.385
766202417689010.246


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07ANONYMOUSv4_computers32AC54BE41FAD0F30.142
2018-04-09kkmrkkblmbrbkold32AC54BE41FAD0F30.142


PRP results:
No PRP results for M2152169


CERT results:
No CERT results for M2152169


P-1 factor-bounds graph:
B1 = 5000000, B2 = 9896994030 (P-1 stage 2)
B1 = 3000000, B2 = 393000000 (P-1 stage 2)
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 648000, B2 = 10950198 (P-1 stage 2)
B1 = 540000, B2 = 5400000 (P-1 stage 2)
B1 = 270000, B2 = 9954726 (P-1 stage 2)
B1 = 648000 (P-1 stage 1)
B1 = 540000 (P-1 stage 1)
B1 = 135000, B2 = 2666250 (P-1 stage 2)
B1 = 270000 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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105
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107
102
103
104
105
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109
1010
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=23.64 ~= 62-bit
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Last modified: 2024-03-13T02:15:48+00:00