is 2 2311667 - 1
has 695882 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.853967.1642%50000003050000002.090810.2861%14.944770.5417%3.3775%
PrimeNet2580.016662.0690%100001900000.00192.9307%0.018663.1806%1.1117%
GPU722620.265864.5161%130002000000.00231.7808%0.268065.1480%0.6319%
Difference+5+12.5881+2.6481%+4987000+304800000+2.0886+8.5054%+14.6767+5.3937%+5.3937%

Known prime factors (4 factors, 186.9 bits, 0.00808547% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
231166741610007825.3109
32
-991.937e-128.816e-71.794e-6
231166724765905704491341.171535672
23 × 66959
2008-07-148669592.467e-70.00040.0007
2311667330810719894144331754.8777155241648
24 × 47 × 9514949
2015-07-214795149490.00170.05080.0948
2311667540325808375144785272065.55011686930002789
3 × 3895643334263
2018-02-02338956433342635.555320,79138,831

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
23116671030509509725168831432166.482
231166713765036370470384830310312580.187
231166722482960668770433141098196892890.861
2311667819282709493283259129438904172996.048
231166713381658019921168855447969124862333106.722
2311667178745569645967126055571531808238019137120.427
2311667340903592769944828653587667085860291937121.359
2311667556810883880525975523371983421304177036140132.032
23116677437604404187679636942213827541506632417133744145.738
2311667442679592294737183690268991235688944200438757575949161.599
231166718419900934141160276512378557199955618002866105804
5020313
57186.909
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2018-02-26T11:40:40alpertronManual testing5000001500000012-
skipped known factor: 41610007
skipped known factor: 2476590570449
skipped known factor: 33081071989414433
--0.126--5.213%
2021-05-06T14:24:18ViliamF35000000305000000-
skipped known factor: 41610007
skipped known factor: 2476590570449
skipped known factor: 33081071989414433
--2.091--10.286%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-12-20T12:17:00TJAOIManual testing254255*54.877170.0010.3320.001


ECM factoring results:

Old Calculation Method

Total ECM effort:0.443 GHz-days
Estimated T-Level:0.250
DigitsB1CurvesCompleteFacMiss
20110005 / 1000.05095.099%
25500005 / 2800.01898.227%

New Calculation Method

Total ECM effort:0.443 GHz-days
Estimated T-Level:0.250
DigitsB1CompleteFacMiss
20110000.19282.505%
25500000.01898.236%
302500000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.266
50000500000020.177


Lucas-Lehmer results:
No L-L results for M2311667


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-11T16:10:03Oliver KruseGTX-317D75421853C3A__?
2017-10-18T04:12:37Oliver KruseGTX-0
41610007
2476590570449
33081071989414433
19BBA5642693EC__no
2017-11-23T01:13:35kkmrkkblmbrbkc4.xlarge
41610007
2476590570449
33081071989414433
19BBA5642693EC__no
2018-02-04T18:26:33Hazar Temizelhtemizel
41610007
2476590570449
33081071989414433
54032580837514478527
19BBA5642693EC__no
2018-02-05T04:09:49AdolfNorManual testing
41610007
2476590570449
33081071989414433
54032580837514478527
19BBA5642693EC__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 305000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
267
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Last modified: 2021-05-06T14:24:18+00:00