is 2 1851203 - 1
has 557268 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-LF1941EB866E18804double-checked
PRP37539CB09A03B7EFPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.197969.1176%32000000515208548424.460614.5087%56.658573.5983%4.4806%
PrimeNet2570.010463.1579%90001600000.00143.0235%0.011764.2718%1.1139%
GPU722610.165965.5738%90001500000.00131.6312%0.167266.1353%0.5616%
Difference+7+32.0320+3.5439%+31991000+5151935484+24.4593+12.8776%+56.4913+7.4630%+3.9191%

Known prime factors (1 factor, 129.3 bits, 0.00698555% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
185120384768801179585690037154961121212682283339129.317228955984782829570925379229401672
23 × 3 × 13 × 19 × 850301 × 29718197 × 30293651 × 50454167
2022-07-1330293651504541679.601e+102.46944.8498

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-03T15:14:00markrtiny2750006000000---0.046--3.532%
2015-10-07T00:38:47Bruno Victal5820K-linux5000001500000012---0.101--4.606%
2016-10-29T20:53:44Jocelyn Larouchelow 4M864000864000---0.068--2.232%
2016-12-18T19:36:11Jocelyn Larouchelow 4M720000720000---0.057--2.074%
2017-01-12T03:16:24Jocelyn Larouchelow 4M10368001036800---0.082--2.397%
2017-02-11T17:53:08Jocelyn Larouchelow 4M12441601244160012---0.146--4.876%
2017-12-24T02:10:59Jocelyn Larouchelow 4M24883202488320012---0.292--5.907%
2018-02-09T03:27:10Jocelyn Larouchelow 4M24883204976640012---0.398--6.714%
2018-02-26T11:01:56Jocelyn Larouchelow 4M24883209953280012---0.612--7.528%
2018-09-13T11:47:01Jocelyn Larouchelow 4M248832018512030012---0.978--8.260%
2018-10-25T11:45:53Jocelyn LaroucheManual testing248832020363233012---1.058--8.373%
2022-07-13T00:01:38RichD0Linux-5b32000000515208548439129.31724.460.20148.9214.509%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:55Mark RoseManual testing258260--0.062--
2010-04-12T14:11:00Architects Cubeda3_bu2260261--0.083--
2016-02-23T16:28:55Mark RoseManual testing261262--0.166--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.862--
2016-02-23T16:28:55Mark RoseManual testing262263--0.530--
2015-04-30T23:55:00snme2pm1Manual testing263264--1.061--
2015-04-30T23:55:00snme2pm1Manual testing264265--2.018--
2015-09-08T08:29:00ramgeisManual testing265266--4.037--
2018-06-11T13:42:35TJAOIManual testing266267--8.073--
2019-06-10T09:46:20TJAOIManual testing267268--16.15--


ECM factoring results:
Total ECM effort:17.703 GHz-days
Estimated T-Level:24.519
DigitsB1CompleteFacMiss
20110009.7790.006%
25500000.90440.500%
302500000.05794.452%
3510000000.00399.733%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021214.66
500006600000393.041


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-11T00:00:00ANONYMOUSv4_computersF1941EB866E188040.100
1998-12-27T00:00:00ANONYMOUSv4_computersF1941EB866E188040.100
2015-07-16T04:00:00MadPooManual testingF1941EB866E188040.100


PRP results:
dateuseridcompidcofactorsres64PRP
2022-07-14T02:00:36RichD0CoLab-1
847688011795856900371549611212126822833
37539CB09A03B7EFno


P-1 factor-bounds graph:
B1 = 32000000, B2 = 5152085484 (P-1 stage 2)
B1 = 32000000 (P-1 stage 1)
B1 = 2488320, B2 = 203632330 (P-1 stage 2)
B1 = 2488320, B2 = 185120300 (P-1 stage 2)
B1 = 2488320, B2 = 99532800 (P-1 stage 2)
B1 = 2488320, B2 = 49766400 (P-1 stage 2)
B1 = 2488320, B2 = 24883200 (P-1 stage 2)
B1 = 2488320 (P-1 stage 1)
B1 = 1244160, B2 = 12441600 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1244160 (P-1 stage 1)
B1 = 1036800 (P-1 stage 1)
B1 = 864000 (P-1 stage 1)
B1 = 720000 (P-1 stage 1)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
104
105
106
107
108
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-07-14T02:00:36+00:00