is 2 1835027 - 1
has 552399 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
Actual26716.192668.6567%500000150000000.10155.0703%16.294170.2459%1.5892%
PrimeNet2570.010563.1579%80001500000.00122.8806%0.011764.2192%1.0613%
GPU722610.167465.5738%90001400000.00131.5955%0.168766.1230%0.5493%
Difference+6+16.0252+3.0829%+491000+14860000+0.1002+3.4748%+16.1254+4.1229%+4.1229%

Known prime factors (3 factors, 181.4 bits, 0.00988401% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
183502752721940533771342.2621436544
27 × 32 × 29 × 43
-1281286.195e-71.007e-52.049e-5
18350271646227861569911547.22644855685
32 × 5 × 7 × 157 × 907
2008-08-261579071.045e-51.556e-52.513e-5
183502745770491216615013512563670632891.8861247133999026036497353
3 × 1291 × 322007229286350761
2020-09-081291322007229286350761399,458,8631.380e+92.578e+9

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18350278679232742272414649557086072789.488
18350272413109116123818842201166851735732672175141134.148
183502775348657878532482004534850478478583958743342139.113
183502739725274599713699201184490343958863346553404976604
11241
55181.374
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:40:01alpertronManual testing5000001500000012-
skipped known factor: 5272194053377
skipped known factor: 164622786156991
--0.101--5.070%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:20:00ANONYMOUSManual testing??47.226152.32209e-70.2134.96569e-7


ECM factoring results:

Old Calculation Method

Total ECM effort:20.346 GHz-days
Estimated T-Level:24.732
DigitsB1CurvesCompleteFacMiss
2011000265 / 1002.6506.972%
2550000265 / 2800.94638.747%

New Calculation Method

Total ECM effort:20.346 GHz-days
Estimated T-Level:24.732
DigitsB1CompleteFacMiss
20110009.0650.012%
25500000.82143.990%
302500000.05195.046%
3510000000.00299.767%


ECM Summary

B1B2factorcurvesGHz-days
500005000000292.004
50000500000040.276
500006534230141.085
50000660000021816.98


Lucas-Lehmer results:
No L-L results for M1835027


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T02:40:38Oliver KruseGTX-2
5272194053377
164622786156991
7979FA85A2514E__no
2017-11-06T10:13:25kkmrkkblmbrbkc4.xlarge
5272194053377
164622786156991
7979FA85A2514E__no
2020-09-09T00:59:36CrypticCluecruncher
5272194053377
164622786156991
4577049121661501351256367063
B9C382258049E840no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
267
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Last modified: 2021-07-14T09:06:11+00:00