is 2 2337913 - 1
has 703782 decimal digits
takes 0.158 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4977AAC4E6B8D003double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.709667.1642 %50000005050000003.158210.9858 %15.867870.7715 %
Target2620.262864.5161 %1300010000000.00651.7847 %0.269365.1494 %
Difference+5+12.4468+2.6481 %+4987000+504000000+3.1517+9.2012%+15.5985+5.6221 %

Known prime factors (1 factor, 67.4 bits, 0.00288204% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23379131920024721794473771832167.38041062792366407
3 × 72 × 279338723581
2016-02-174927933872358112.7101,490.82,784.4

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.792%
2010-03-05Budannan5000001000000012--0.1027.763%
2018-03-18alpertronManual testing5000001500000012---8.326%
2021-04-12ViliamF35000000505000000---15.479%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.066
2009-01-11Sturle Sundegiovanni.ifi2602610.066
2012-05-28Sebastian HornbostelManual testing2612620.131
2013-12-04Luigi MorelliManual testing2622630.420
2015-03-03VictordeHollanderManual testing2632640.840
2015-03-03VictordeHollanderManual testing2642651.598
2015-10-25ramgeisManual testing2652663.196


ECM factoring results:
Total ECM effort:6.785 GHz-days
Estimated T-Level:21.293
DigitsB1CompleteFacMiss
20110002.7766.231%
25500000.25977.212%
302500000.01698.372%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.208
50000500000030.266
500007000000505.311


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26ANONYMOUSv4_computers4977AAC4E6B8D0030.158


PRP results:
dateuseridcompidcofactorsres64
2017-10-12Oliver KruseGTX-3
192002472179447377183
DEF2A08D9AE6D1A9
2017-11-24kkmrkkblmbrbkc4.xlarge
192002472179447377183
DEF2A08D9AE6D1A9


CERT results:
No CERT results for M2337913


P-1 factor-bounds graph:
B1 = 5000000, B2 = 505000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.29 ~= 54-bit
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Last modified: 2024-02-29T14:28:04+00:00