is 2 6919567 - 1
has 2082998 decimal digits
takes 1.509 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
Actual2688.614066.1765%40000001645112704.02989.5386%12.643769.4028%3.2263%
PrimeNet2630.230763.4921%280007000000.02043.1600%0.251164.6457%1.1536%
GPU722674.294265.6716%450009000000.02902.2363%4.323166.4393%0.7677%
Difference+1+4.3198+0.5048%+3955000+163611270+4.0008+7.3024%+8.3206+2.9635%+2.9635%

Known prime factors (3 factors, 161.3 bits, 0.00233157% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
691956710656133191029.98977
7 × 11
-7111.051e-112.282e-64.504e-6
6919567172778138813919428332063.9061248475076648
23 × 29 × 5381358089
2017-06-072953813580890.393392.701173.14
69195672002057243706541808312167.44014466636739745
5 × 2893327347949
2022-08-03528933273479496.991749,84293,090

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
6919567184114685952143405421313927272993.895
69195672133418864294119878365480880893097.429
6919567345911724366541799340518725680919643422340131.346
6919567368608140683243779347482170454495316199533621613749161.335
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-08-10T02:32:28riccardo ubertiColab_noGPU144000000164511270-
skipped known factor: 1065613319
--4.030--9.539%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-08-13T04:46:45riccardo ubertiColab_noGPU1540000008000000027--3.205
2022-08-17T03:03:53riccardo ubertiColab_noGPU1546000009600000065--3.754


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2022-08-10T19:28:49LordJuliusManual testing2126329.989101.05083e-113.2962.29519e-11
2017-06-07T16:19:34TJAOIManual testing263264*63.906200.1633.0650.330
2022-08-10T19:28:49LordJuliusManual testing26326463.906200.1633.0650.330
2022-08-04T14:08:18J.R. AllenManual testing264265--0.540--
2022-08-10T19:28:49LordJuliusManual testing264265--0.540--
2022-08-10T19:28:49LordJuliusManual testing265266--1.080--
2022-08-10T19:28:49LordJuliusManual testing266267--2.160--
2022-08-03T11:18:52TJAOIManual testing267268*67.440212.6983.0655.479
2022-08-10T19:28:49LordJuliusManual testing26726867.440212.6983.0655.479


ECM factoring results:

Old Calculation Method

Total ECM effort:6.417 GHz-days
Estimated T-Level:0.500
DigitsB1CurvesCompleteFacMiss
201100010 / 1000.10090.438%
255000010 / 2800.03696.485%

New Calculation Method

Total ECM effort:6.417 GHz-days
Estimated T-Level:0.500
DigitsB1CompleteFacMiss
20110000.50060.653%
25500000.04895.284%
302500000.00399.688%


ECM Summary

B1B2factorcurvesGHz-days
5000014400000106.417


Lucas-Lehmer results:
No L-L results for M6919567


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-22T18:04:06Oliver KruseGTX-0
1065613319
17277813881391942833
A9C8E18A9600F5__no
2019-01-25T13:16:13Chang Chia-Tcheexbbbe-lt
1065613319
17277813881391942833
A9C8E18A9600F506no
2022-08-08T23:17:47riccardo ubertiColab_noGPU11
1065613319
17277813881391942833
200205724370654180831
A9C8E18A9600F506no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 164511270 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-17T03:03:53+00:00