is 2 263609 - 1
has 79355 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3F4AB2758A9DE79Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267112.719771.6418 %362244967244899200.730510.6476 %113.450174.6613 %
Target2440.000056.8182 %50006000000.000410.5739 %0.000461.3842 %
Difference+23+112.7197+14.8236 %+36219496+723889920+0.7301+0.0737%+113.4498+13.2771 %

Known prime factors (1 factor, 90.1 bits, 0.03417932% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26360913265651951247874028899319292890.1002516160668119805095596
22 × 32 × 69893351892216808211
2016-08-299698933518922168082111.897e+93.773e+107.047e+10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-02-18ANONYMOUSv4_computers950003800000--0.00322.426%
2001-06-23ANONYMOUSv4_computers10000010000000--0.00625.030%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.832%
2002-08-10ANONYMOUSv4_computers65536655360012--0.00423.454%
2003-03-07ANONYMOUSv4_computers1310721310720030--0.00826.030%
2003-11-16ANONYMOUSv4_computers2621442621440012--0.01728.553%
2006-01-15Jossv4_computers263609263609--0.00314.468%
2011-02-15JossManual testing20000002000000--0.02020.591%
2012-02-26JossManual testing23394992339499--0.02321.062%
2013-10-14David Campeaui5-2500k24750006930000012--0.06332.574%
2015-12-30JossManual testing3622449636224496012--0.53537.452%
2016-07-12JossManual testing3622449672448992012--0.73039.740%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-24ANONYMOUSv4_computers2522530.002
2000-04-27ANONYMOUSv4_computers212540.009
2022-03-07LordJuliusManual testing254255
2001-02-18ANONYMOUSv4_computers212560.036
2002-03-31ANONYMOUSv4_computers212570.073
2004-02-07ANONYMOUSv4_computers212580.146
2008-12-31Sturle Sundehomilius.ifi2582590.146
2009-01-24Sturle Sundejodel.ifi2592600.291
2013-07-11lycornasteroid2602610.583
2015-08-25NRManual testing2612621.165
2015-12-26Gordon SpenceManual testing26226411.17


ECM factoring results:
Total ECM effort:18.206 GHz-days
Estimated T-Level:28.030
DigitsB1CompleteFacMiss
201100042.3370.000%
25500005.8980.275%
302500000.60654.548%
3510000000.04995.206%
4030000000.00399.674%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002841.844
250000250000002218.039
2500002500000030.112
2500003125000070.282
25000036750000652.797
2500003798145470.305
25000038500000140.615
250000551335785144.213


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-10-20ANONYMOUSv4_computers3F4AB2758A9DE79A0.002


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
1326565195124787402889931929
C77C94472F1DF5D9
2017-09-22Oliver KruseManual testing
1326565195124787402889931929
C77C94472F1DF5D9
2017-10-12Oliver KruseGTX-2
1326565195124787402889931929
C77C94472F1DF5D9
2017-11-06kkmrkkblmbrbkc4.xlarge
1326565195124787402889931929
C77C94472F1DF5D9
2020-04-17Oliver KruseAddPrpType5
1326565195124787402889931929
2877879089401D5B


CERT results:
No CERT results for M263609


P-1 factor-bounds graph:
B1 = 36224496, B2 = 724489920 (P-1 stage 2)
B1 = 36224496, B2 = 362244960 (P-1 stage 2)
B1 = 36224496 (P-1 stage 1)
B1 = 2475000, B2 = 69300000 (P-1 stage 2)
B1 = 2475000 (P-1 stage 1)
B1 = 2339499 (P-1 stage 1)
B1 = 2000000 (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 = 95000, B2 = 3800000 (P-1 stage 2)
B1 = 263609 (P-1 stage 1)
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 = 95000 (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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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=28.03 ~= 77-bit
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Last modified: 2024-03-13T02:15:48+00:00