is 2 1831853 - 1
has 551443 decimal digits
takes 0.099 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB1F294A29275F22Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.220768.6567%500000150000000.10155.0692%16.322270.2456%1.5889%
PrimeNet2570.010563.1579%80001500000.00122.8797%0.011764.2188%1.0609%
GPU722610.167765.5738%90001400000.00131.5949%0.169066.1228%0.5491%
Difference+6+16.0530+3.0829%+491000+14860000+0.1002+3.4743%+16.1532+4.1227%+4.1227%

Known prime factors (2 factors, 156.3 bits, 0.00853233% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1831853528283238606587504213432375.48414419367673240907
13 × 1109182128710839
2020-11-231311091821287108395,214.24,753,6778,878,545
183185321283572479107810447607272580.816580930142296019671
967 × 1297 × 5701 × 6163 × 13183
-616313183200,5360.00050.0010

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
183185311243754598381110565199849708475456665386899636148156.300
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:39:36alpertronManual testing5000001500000012-
skipped known factor: 2128357247910781044760727
--0.101--5.069%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.748 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.748 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8100.015%
25500000.79845.019%
302500000.04995.183%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000372.556
50000500000020.138
50000660000021917.05


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21T00:00:00ANONYMOUSv4_computersB1F294A29275F22C0.099
1999-03-26T00:00:00ANONYMOUSv4_computersB1F294A29275F22C0.099


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T02:01:50Oliver KruseGTX-3
2128357247910781044760727
E1B3FE18E0BF0A__no
2017-11-06T08:08:44kkmrkkblmbrbkc4.xlarge
2128357247910781044760727
E1B3FE18E0BF0A__no
2020-11-26T07:25:35Sébastien BrouckePortable_Seb
52828323860658750421343
2128357247910781044760727
C67BFEA714AE8D__no
2020-11-27T09:20:23RuzovejAcer_Duchcov
52828323860658750421343
2128357247910781044760727
C67BFEA714AE8D75no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
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104
105
106
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109
1010
1011
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1013
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1015
1016
TF factor-bounds graph:
267
258
250
260
270
280
290
2100
Last modified: 2021-05-07T10:27:21+00:00