is 2 1567 - 1
has 472 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26718,962.295883.5821 %10000000000093518193139220850150,429.402937.6462 %169,391.698789.7628 %
Target2440.001575.0000 %500500000.00000.7022 %0.001575.1756 %
Difference+23+18,962.2943+8.5821 %+99999999500+93518193139170850+150,429.4029+36.9440%+169,391.6972+14.5873 %

Known prime factors (3 factors, 188.2 bits, 12.01019262% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1567292578738231134.7689335633
197 × 47389
-197473892.483e-68.173e-81.424e-7
15674885198414281525611858.761155877422280840
23 × 32 × 5 × 13 × 33307141513
2014-04-23133330714151334.0510.05360.1001
1567315235709289269210258053799932994.67010058574004124735490046388
22 × 256846537 × 9790451257013381
2014-04-2325684653797904512570133814.892e+1215,74829,413

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-07kkmrkkblmbrbkManual testing100000000010000000000012
skipped known factor: 29257873823
skipped known factor: 488519841428152561
---44.303%
2021-08-10Jinyuan WangManual testing1300000000013000000000
skipped known factor: 29257873823
--0.44835.985%
2021-12-17Oliver KruseOllaptop10000000000093518193139220850
skipped known factor: 29257873823
skipped known factor: 488519841428152561
skipped known factor: 31523570928926921025805379993
--175,46775.661%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-21ViliamF3100000000022100000000027--0.457


Trial Factoring results:
5758596061626364656667
No TF results for M1567


ECM factoring results:
Total ECM effort:54,355.781 GHz-days
Estimated T-Level:63.927
DigitsB1CompleteFacMiss
2011000106,783.6330.000%
255000048,150.5500.000%
3025000018,320.7390.000%
3510000005,879.7670.000%
4030000001,669.4890.000%
4511000000429.4730.000%
5044000000100.2200.000%
5511000000021.3130.000%
602600000004.2341.449%
658000000000.78545.591%
7024000000000.13487.457%
7572000000000.02098.015%


ECM Summary

B1B2factorcurvesGHz-days
1100000011000000004,95021.06
44000000440000000014,134264.2
1100000001100000000018,972886.6
20000000020000000017912.03
20000000020000000000008542,410
2600000002600000000059,3566,556
85000000085000000000122,41644,206


Lucas-Lehmer results:
No L-L results for M1567


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC76F743E67F046E__
2017-10-02kkmrkkblmbrbkManual testing
29257873823
488519841428152561
31523570928926921025805379993
76F743E67F046EEB
2017-12-07ATHManual testing
29257873823
488519841428152561
31523570928926921025805379993
76F743E67F046EEB
2020-04-17Oliver KruseIOS-1
29257873823
488519841428152561
31523570928926921025805379993
C18C266CC8A1BA53
2020-08-12_p95holder_TFL16_PRPt11-E_b
29257873823
488519841428152561
31523570928926921025805379993
C18C266CC8A1BA53


CERT results:
No CERT results for M1567


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 93518193139220850 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 13000000000 (P-1 stage 1)
B1 = 1000000000, B2 = 100000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=63.93 ~= 196-bit
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Last modified: 2024-03-13T02:15:48+00:00