is 2 234781 - 1
has 70677 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-L84E5889463C0DA39double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267126.560173.1343 %80010000016002000006.864412.3233 %133.424576.4451 %
Target2440.000059.0909 %45005000000.00039.8670 %0.000363.1274 %
Difference+23+126.5601+14.0434 %+800095500+1599700000+6.8641+2.4564%+133.4242+13.3177 %

Known prime factors (1 factor, 98.3 bits, 0.04188096% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2347813979585173931655060824545354013098.329847510057017317214941700
22 × 3 × 52 × 7 × 29 × 13916421297492893513
2019-04-2829139164212974928935134.722e+116.169e+91.152e+10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-20ANONYMOUSv4_computers10000010000000--0.00524.795%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.603%
2002-08-03ANONYMOUSv4_computers65536655360012--0.00323.221%
2003-02-24ANONYMOUSv4_computers1310721310720030--0.00725.794%
2003-10-31ANONYMOUSv4_computers2621442621440012--0.01428.315%
2010-11-23JossManual testing20000002000000--0.01620.401%
2010-11-23JossManual testing1000000010000000--0.08125.166%
2010-11-29JossManual testing100000000100000000--0.81431.591%
2010-12-04JossManual testing200000000200000000--1.62733.345%
2010-12-07JossManual testing300000000300000000--2.44134.330%
2010-12-11JossManual testing400000000400000000--3.25435.011%
2010-12-11JossManual testing500000000500000000--4.06835.530%
2010-12-20JossManual testing790300000790300000--6.43036.568%
2015-02-02JossManual testing800000000800000000--6.50936.596%
2015-02-20JossManual testing800100000800100000--6.51036.596%
2016-03-18JossManual testing800100000160020000012--6.86439.291%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-19ANONYMOUSv4_computers212540.010
2022-03-07LordJuliusManual testing254255
2001-02-11ANONYMOUSv4_computers212560.041
2002-04-14ANONYMOUSv4_computers212570.082
2016-02-23Mark RoseManual testing2572580.082
2009-01-01Sturle Sundefigaro.ifi2582590.164
2009-01-26Sturle Sundecelair.ifi2592600.327
2010-12-04JossManual testing2602610.654
2015-07-17snme2pm1Manual testing2612621.308
2016-01-12Gordon SpenceManual testing26226412.54
2018-03-07Gordon SpenceManual testing26426515.91


ECM factoring results:
Total ECM effort:15.615 GHz-days
Estimated T-Level:28.213
DigitsB1CompleteFacMiss
201100036.4300.000%
25500005.3980.453%
302500000.64352.590%
3510000000.06893.450%
4030000000.00799.340%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002831.509
250000250000001584.590
25000025000000792.357
3000000300000000207.160


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01MadPooManual testing84E5889463C0DA390.001


PRP results:
dateuseridcompidcofactorsres64
2019-04-28ATHec2-PRPCF
397958517393165506082454535401
D5951BF3B307EAF2
2019-04-29marssystemssystem11
397958517393165506082454535401
D5951BF3B307EAF2


CERT results:
No CERT results for M234781


P-1 factor-bounds graph:
B1 = 800100000, B2 = 1600200000 (P-1 stage 2)
B1 = 800100000 (P-1 stage 1)
B1 = 800000000 (P-1 stage 1)
B1 = 790300000 (P-1 stage 1)
B1 = 500000000 (P-1 stage 1)
B1 = 400000000 (P-1 stage 1)
B1 = 300000000 (P-1 stage 1)
B1 = 200000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 10000000 (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 = 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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1010
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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=28.21 ~= 77-bit
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Last modified: 2024-03-13T02:15:48+00:00