is 2 36919 - 1
has 11114 decimal digits
takes 0.000 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
Actualunknown200000000040192773717096020,905.396978.2042%20,905.396978.2042%78.2042%
PrimeNet2400.000060.0000%500100000.00004.3253%0.000061.7301%1.7301%
GPU722440.000163.6364%500100000.00001.8687%0.000164.3159%0.6795%
Difference-44-0.0001-63.6364%+1999999500+401927737160960+20,905.3969+76.3355%+20,905.3968+13.8883%+13.8883%

Known prime factors (3 factors, 352.9 bits, 0.95587254% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3691914327785699268711650.34819404352365
3 × 5 × 2381 × 543311
2014-04-2323815433110.00523.041e-55.278e-5
36919398238222441950406508057087192098278337121.58353934047840129798546555579402489
17 × 13241 × 77621 × 82051 × 2190203 × 17176941149
2016-11-302190203171769411494.437e+120.89531.6685
3691929973475446426618334978968367954947937020181626451
39063
55180.96840593563539676884984667743394938849829383490379549
3 × 1637 × 1669 × 470941 × 3195433 × 54508211 × 325206701 × 185657832242317
2022-05-233252067011856578322423174.045e+129,656.018,034

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3691957058719084059684847857533558793217975286507600619
93
52171.931
3691942945353285869311542005215106095047151848048504200
94877920203535461873
70231.316
3691911936583582192382397202136620935004612676413884239
009160236031616206625173371500688663752329
92302.551
3691917102481154706168695174302576362892922941560205467
69961187936774066441648436764654315418179891749798
5932559
107352.899
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-28T20:52:57kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 1432778569926871
--0.441--41.555%
2016-11-30T19:59:19kkmrkkblmbrbkManual testing200000000304211584273837121.583158.44.86100e-5316.858.294%
2022-04-10T15:10:41nordisweet16_ccx220000000002000000000-
skipped known factor: 1432778569926871
--1.909--36.124%
2022-05-23T13:30:53nordisweet16_30.8b14200000000040192773717096055180.96820,9054.86100e-541,81169.597%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-12T10:48:12ATHec2-P_11000000001000000000027--0.705


Trial Factoring results:
No TF results for M36919


ECM factoring results:

Old Calculation Method

Total ECM effort:29.645 GHz-days
DigitsB1CurvesCompleteFacMiss
20110002865 / 10028.6500.000%
25500002865 / 28010.2320.004%
302500002582 / 6404.0341.764%
3510000001998 / 15661.27627.908%

New Calculation Method

Total ECM effort:29.645 GHz-days
DigitsB1CompleteFacMiss
2011000396.9760.000%
255000075.8320.000%
3025000011.2710.001%
3510000001.36225.607%
4030000000.13687.268%
45110000000.01198.862%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002830.194
250000250000005842.005
10000001000000001,99827.44


Lucas-Lehmer results:
No L-L results for M36919


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:48:18Oliver KrusePRP
1432778569926871
3982382224419504065080570871920982783
24F611444AAA1759no
2017-09-21T21:29:11Oliver KruseManual testing
1432778569926871
3982382224419504065080570871920982783
24F611444AAA1759no
2017-10-02T10:40:53kkmrkkblmbrbkManual testing
1432778569926871
3982382224419504065080570871920982783
24F611444AAA17__no
2017-12-07T03:15:12ATHxps
1432778569926871
3982382224419504065080570871920982783
24F611444AAA17__no
2020-04-17T13:48:16Oliver KruseManual testing
1432778569926871
3982382224419504065080570871920982783
71E889EBBC28B9__no
2022-05-23T16:57:53nordisweet16_30.8b14
1432778569926871
3982382224419504065080570871920982783
29973475446426618334978968367954947937020181626451
39063
71E889EBBC28B96Eno


P-1 factor-bounds graph:
B1 = 2000000000, B2 = 401927737170960 (P-1 stage 2)
B1 = 200000000, B2 = 3042115842738 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-23T16:57:53+00:00