is 2 4659209 - 1
has 1402562 decimal digits
takes 0.613 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDC67370AFF3F4F94double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272205.256768.0556 %430000011204171550117.318311.3065 %322.574971.6674 %
Target2651.565964.6154 %3000030000000.03662.2293 %1.602565.4042 %
Difference+7+203.6908+3.4402 %+4270000+11201171550+117.2817+9.0772%+320.9724+6.2631 %

Known prime factors:
No known factors for M4659209

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-17Carsten Kossendeymother25000381250--0.0091.889%
2012-02-14Squeeky_SquirrelT7500_220011000020900006--0.0423.851%
2018-01-25Ismo Laitela6600K19882036163430312--1.0009.612%
2023-03-01Sid & AndyMagic_8_Ball430000011204171550--136.417.845%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2002-01-28David Campeauv4_computers212610.033
2010-07-18markroldgamer2612620.066
2011-12-09GrunwalderGIMPManual testing212630.342
2016-02-23Mark RoseManual testing2622630.211
2015-02-06JayderManual testing2632640.421
2015-02-07monstManual testing2642650.802
2015-07-08snme2pm1Manual testing2652661.604
2018-06-09BloodERazorManual testing2662673.208
2018-10-18chuenkitManual testing2672686.415
2021-03-20ANONYMOUSManual testing26827189.82
2021-03-23ANONYMOUSManual testing271272102.6


ECM factoring results:
Total ECM effort:1.575 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.575


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-05ANONYMOUSv4_computersDC67370AFF3F4F940.613
2000-01-25ANONYMOUSv4_computersDC67370AFF3F4F940.613


PRP results:
No PRP results for M4659209


CERT results:
No CERT results for M4659209


P-1 factor-bounds graph:
B1 = 4300000, B2 = 11204171550 (P-1 stage 2)
B1 = 1988203, B2 = 61634303 (P-1 stage 2)
B1 = 4300000 (P-1 stage 1)
B1 = 1988203 (P-1 stage 1)
B1 = 110000, B2 = 2090000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 25000, B2 = 381250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
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Last modified: 2024-03-13T02:15:48+00:00