is 2 2134507 - 1
has 642551 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCC225A275D31240Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26827.924467.6471 %25000001250000000.87467.9112 %28.799170.2066 %
Target2620.287864.5161 %100007500000.00481.4868 %0.292665.0437 %
Difference+6+27.6366+3.1309 %+2490000+124250000+0.8698+6.4244%+28.5064+5.1629 %

Known prime factors (1 factor, 78.5 bits, 0.00367712% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21345074239885381655206645289432478.48899317673393790853
16976111 × 5850437323
2021-06-2016976111585043732328,67931.91956.758

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-07ANONYMOUSv4_computers204820480012--0.0010.773%
2010-10-25Oscar Östlin7501175011--0.0071.583%
2010-11-25Oscar Östlin8000015000006--0.0154.276%
2013-11-13c10ck3rManual testing5000001000000012--0.0977.684%
2017-10-04mikrMSI250000012500000012--0.87512.577%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-29ANONYMOUSv4_computers212580.018
2016-02-23Mark RoseManual testing2582600.054
2009-01-04Sturle Sundedittersdorf.ifi2602610.072
2012-04-15Sebastian HornbostelManual testing2612620.144
2013-02-21dbaughManual testing2622630.460
2015-03-18VictordeHollanderManual testing2632640.920
2015-03-18VictordeHollanderManual testing2642651.750
2015-12-27ramgeisManual testing2652663.501
2016-10-29Gordon SpenceManual testing2662677.002
2019-04-22TJAOIManual testing26726814.00


ECM factoring results:
Total ECM effort:15.264 GHz-days
Estimated T-Level:23.164
DigitsB1CompleteFacMiss
20110006.8490.106%
25500000.63353.112%
302500000.04096.084%
3510000000.00299.813%


ECM Summary

B1B2factorcurvesGHz-days
40000600000030.247
50000500000015913.42
50000645000070.668
50000675000070.682
766202417689010.246


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07ANONYMOUSv4_computersCC225A275D31240E0.140
2018-04-06kkmrkkblmbrbkoldCC225A275D31240E0.140


PRP results:
dateuseridcompidcofactorsres64
2021-06-21kutensrigel
423988538165520664528943
CA08969D8D3E0A05


CERT results:
dateuseridcompid
2021-06-21HaiyungHaiyung-PC


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 80000, B2 = 1500000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=23.16 ~= 60-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00