is 2 4178483 - 1
has 1257849 decimal digits
takes 0.521 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4A3B7A3D9E1ADAB6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271114.414369.0141 %16236805196465340522.134211.0701 %136.548672.4442 %
Target2651.746066.1538 %2200022500000.02591.8731 %1.771966.7878 %
Difference+6+112.6683+2.8602 %+16214805+1962403405+22.1083+9.1970%+134.7766+5.6564 %

Known prime factors:
No known factors for M4178483

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-04Carsten Kossendeymother25000337500--0.0081.791%
2011-08-22USAFSSP4_2600450006300006--0.0142.426%
2013-08-16Squeeky_SquirrelP4_260012500024062506--0.0453.987%
2021-03-07Zhang RuichongTriang-jyed-driung162368051964653405--22.1316.214%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-06-07ANONYMOUSv4_computers212600.018
2001-09-30David Campeauv4_computers212610.037
2011-02-01Grant McCrackenthumper2612620.074
2011-07-17GrunwalderGIMPManual testing212630.382
2016-02-23Mark RoseManual testing2622630.235
2013-10-17JayderManual testing2632640.470
2013-11-09David CampeauManual testing2642650.894
2015-06-05snme2pm1Manual testing2652661.788
2017-12-21YxinityManual testing2662673.577
2018-12-07YxinityManual testing2672687.154
2021-06-28TJAOIManual testing26826914.31
2021-07-08axnManual testing26927028.61
2022-05-27mikrManual testing27027157.23


ECM factoring results:
Total ECM effort:13.653 GHz-days
Estimated T-Level:21.354
DigitsB1CompleteFacMiss
20110002.9235.377%
25500000.27176.275%
302500000.01798.306%


ECM Summary

B1B2factorcurvesGHz-days
5000050000006912.34
50000530000071.308


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-28ANONYMOUSv4_computers4A3B7A3D9E1ADAB60.521
1999-10-07TeraTismv4_computers4A3B7A3D9E1ADAB60.521


PRP results:
No PRP results for M4178483


CERT results:
No CERT results for M4178483


P-1 factor-bounds graph:
B1 = 16236805, B2 = 1964653405 (P-1 stage 2)
B1 = 16236805 (P-1 stage 1)
B1 = 125000, B2 = 2406250 (P-1 stage 2)
B1 = 125000 (P-1 stage 1)
B1 = 45000, B2 = 630000 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
B1 = 25000, B2 = 337500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=21.35 ~= 54-bit
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Last modified: 2024-03-13T02:15:48+00:00