is 2 226777 - 1
has 68267 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LFA196BE00C64145Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267131.027073.1343 %385862407717248000.638910.6384 %131.666075.9924 %
Target2440.000059.0909 %40005000000.00039.6456 %0.000363.0368 %
Difference+23+131.0270+14.0434 %+38582240+771224800+0.6387+0.9928%+131.6657+12.9556 %

Known prime factors (1 factor, 101.9 bits, 0.04494904% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
226777484411304867383185611588260015931101.93410680344674887294249672327
3 × 29 × 239 × 3559 × 144324521685218921
2017-01-0735591443245216852189215.825e+1163,975,853119,489,078

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-13ANONYMOUSv4_computers10000010000000--0.00524.725%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.535%
2002-08-03ANONYMOUSv4_computers65536655360012--0.00323.151%
2003-02-24ANONYMOUSv4_computers1310721310720030--0.00725.723%
2003-10-23ANONYMOUSv4_computers2621442621440012--0.01428.244%
2011-07-24JossManual testing22748892274889--0.01920.730%
2012-02-17JossManual testing28436112843611--0.02321.397%
2013-10-10David Campeaui5-2500k29000008120000012--0.05832.787%
2016-01-14JossManual testing3858624038586240012--0.46837.350%
2016-07-12JossManual testing3858624077172480012--0.63939.632%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-19ANONYMOUSv4_computers212540.011
2022-03-07LordJuliusManual testing254255
2001-02-11ANONYMOUSv4_computers212560.042
2002-04-07ANONYMOUSv4_computers212570.085
2016-02-23Mark RoseManual testing2572580.085
2008-12-31Sturle Sundedietrich.ifi2582590.169
2009-01-27Sturle Sundegouache.ifi2592600.339
2013-07-26lycornasteroid2602610.677
2015-07-08snme2pm1Manual testing2612621.355
2016-01-26Gordon SpenceManual testing26226412.99


ECM factoring results:
Total ECM effort:21.834 GHz-days
Estimated T-Level:29.025
DigitsB1CompleteFacMiss
201100051.1180.000%
25500007.5360.053%
302500000.80544.712%
3510000000.06793.528%
4030000000.00599.550%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002101.119
250000250000003089.037
2500002500000010.030
2500003614199270.239
25000036250000351.198
25000038500000351.230
25000018016845080.728
250000367552185508.252


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01MadPooManual testingFA196BE00C64145D0.001


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
4844113048673831856115882600159
24545EFDEC952A09
2017-09-22Oliver KruseManual testing
4844113048673831856115882600159
24545EFDEC952A09
2017-10-12kkmrkkblmbrbkc4.xlarge
4844113048673831856115882600159
24545EFDEC952A09
2020-04-17Oliver KruseAddPrpType5
4844113048673831856115882600159
06C0F61ACCEFD482
2024-02-03Wentao HuangManual testing
4844113048673831856115882600159
06C0F61ACCEFD482


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto1035G1


P-1 factor-bounds graph:
B1 = 38586240, B2 = 771724800 (P-1 stage 2)
B1 = 38586240, B2 = 385862400 (P-1 stage 2)
B1 = 38586240 (P-1 stage 1)
B1 = 2900000, B2 = 81200000 (P-1 stage 2)
B1 = 2900000 (P-1 stage 1)
B1 = 2843611 (P-1 stage 1)
B1 = 2274889 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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262
261
260
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253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.02 ~= 80-bit
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Last modified: 2024-03-13T02:15:48+00:00