is 2 1840829 - 1
has 554145 decimal digits
takes 0.100 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
Actual26716.141668.6567%10000001883290500.88158.2200%17.023171.2331%2.5764%
PrimeNet2570.010463.1579%80001500000.00122.8823%0.011764.2198%1.0619%
GPU722610.166965.5738%90001400000.00131.5965%0.168166.1234%0.5496%
Difference+6+15.9747+3.0829%+991000+188189050+0.8802+6.6234%+16.8550+5.1097%+5.1097%

Known prime factors (2 factors, 116.4 bits, 0.00632088% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
184082922347664071031.057607
607
-16071.758e-102.676e-64.833e-6
1840829476002722926317819449054232685.29912929031510431382259
28463 × 454239943450493
2020-06-05284634542399434504936,872,3451,946,7593,636,003

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
184082910637548948362637991102376411252516136116.357
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-03T12:48:57Jocelyn LaroucheManual testing1000000188329050-
skipped known factor: 2234766407
--0.882--8.220%


Trial Factoring results:
No TF results for M1840829


ECM factoring results:

Old Calculation Method

Total ECM effort:19.837 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.837 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8280.015%
25500000.80044.932%
302500000.04995.171%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.415
500005000000251.728
50000660000022017.14
50000675000070.551


Lucas-Lehmer results:
No L-L results for M1840829


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T04:03:59Oliver KruseGTX-3
2234766407
2A240FEB48A7FA__no
2017-11-06T17:38:43kkmrkkblmbrbkold
2234766407
2A240FEB48A7FA__no
2020-06-06T12:09:24Yuji Hasegawavj22m
2234766407
47600272292631781944905423
D5E4DF932A0D41F7no
2020-06-07T09:58:26marssystemssystem03
2234766407
47600272292631781944905423
D5E4DF932A0D41F7no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 188329050 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-03T12:48:57+00:00