is 2 1834109 - 1
has 552122 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
Actual26716.200768.6567%2000000600000000.40597.4073%16.606670.9784%2.3217%
PrimeNet2570.010563.1579%80001500000.00122.8803%0.011764.2191%1.0612%
GPU722610.167565.5738%90001400000.00131.5953%0.168866.1230%0.5492%
Difference+6+16.0333+3.0829%+1991000+59860000+0.4046+5.8119%+16.4379+4.8554%+4.8554%

Known prime factors (2 factors, 118.9 bits, 0.00648501% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18341093523008362438171548.32496041412
22 × 32 × 113 × 23609
-113236092.421e-50.00010.0002
183410918123073796298878775532270.618494056618126264
23 × 251 × 246044132533
2021-02-26251246044132533142.251,054.51,969.5

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
183410963847740537445021822740790694933980136118.942
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:39:53alpertronManual testing5000001500000012-
skipped known factor: 352300836243817
--0.101--5.070%
2021-02-26T19:19:23riccardo ubertiColab_noGPU1420000006000000012-
skipped known factor: 352300836243817
--0.406--7.407%


Trial Factoring results:
No TF results for M1834109


ECM factoring results:

Old Calculation Method

Total ECM effort:19.838 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.838 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
201100010.6520.002%
25500000.98037.513%
302500000.06293.966%
3510000000.00399.708%


ECM Summary

B1B2factorcurvesGHz-days
500005000000292.003
50000615000030.226
50000660000021917.06
50000675000070.551


Lucas-Lehmer results:
No L-L results for M1834109


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T02:32:09Oliver KruseGTX-0
352300836243817
2BC326AC25E2C0__no
2017-11-06T09:29:12ATHec2-1xf
352300836243817
2BC326AC25E2C0__no
2021-02-26T13:02:46riccardo ubertiNomad2C
352300836243817
1812307379629887877553
BF2C11A1CBE366C8no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (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
240
250
260
270
280
290
2100
Last modified: 2021-04-30T08:12:29+00:00