is 2 1851253 - 1
has 557283 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC24C379083E70F56double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.050768.6567%500000150000000.10155.0756%16.152270.2476%1.5909%
PrimeNet2570.010463.1579%90001600000.00143.0235%0.011764.2718%1.1139%
GPU722610.165965.5738%90001500000.00131.6312%0.167266.1353%0.5616%
Difference+6+15.8848+3.0829%+491000+14850000+0.1002+3.4444%+15.9849+4.1123%+4.1123%

Known prime factors (1 factor, 66.8 bits, 0.00361010% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18512531313558325135513778332166.83235477547507972
22 × 33 × 23 × 1229 × 11621177
2013-09-151229116211779.7810.04990.0930

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-03T15:46:00markrtiny2750006000000---0.046--3.923%
2016-03-16T12:35:48alpertronManual testing5000001500000012-
skipped known factor: 131355832513551377833
--0.101--5.076%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2010-04-12T14:11:00Architects Cubeda3_bu2260261--0.083--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.862--


ECM factoring results:

Old Calculation Method

Total ECM effort:20.630 GHz-days
Estimated T-Level:24.804
DigitsB1CurvesCompleteFacMiss
2011000269 / 1002.6906.697%
2550000269 / 2800.96138.196%

New Calculation Method

Total ECM effort:20.630 GHz-days
Estimated T-Level:24.804
DigitsB1CompleteFacMiss
20110009.1870.010%
25500000.83343.495%
302500000.05294.980%
3510000000.00299.763%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000402.766
50000660000022217.31
50000675000070.552


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-11T00:00:00ANONYMOUSv4_computersC24C379083E70F560.100
1998-12-27T00:00:00Ethan O'Connorv4_computersC24C379083E70F560.100


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T06:30:20Oliver KruseGTX-0
131355832513551377833
557F4DD12E0BB1__no
2017-11-07T02:28:43kkmrkkblmbrbkold
131355832513551377833
557F4DD12E0BB1__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
267
263
261
258
250
260
270
280
290
2100
Last modified: 2021-10-07T10:31:06+00:00