is 2 3561253 - 1
has 1072044 decimal digits
takes 0.374 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6EDC926C8FF40245double-checked
PRP8842CA2EAA94179Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271134.244469.0141%1000001303648501.09613.8982%135.340570.2220%1.2079%
PrimeNet2600.043163.3333%150003000000.00462.9695%0.047864.4221%1.0888%
GPU722640.999565.6250%200004000000.00621.9765%1.005766.3044%0.6794%
Difference+7+133.2449+3.3891%+80000+129964850+1.0899+1.9216%+134.3348+3.9175%+3.9175%

Known prime factors (1 factor, 80.0 bits, 0.00224536% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
356125311783039449814835059074972579.963165433899947782916
22 × 17 × 1399 × 36787 × 47271949
2021-07-07367874727194936,5820.39750.7326

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-08T05:49:00Carsten Kossendeyleela20000245000---0.005--0.603%
2011-12-18T12:35:00Squeeky_SquirrelP4_2600600001005000---0.017--1.308%
2014-08-15T20:31:00ANONYMOUSManual testing7802378023---0.012--0.485%
2014-11-19T23:20:00Jocelyn LaroucheManual testing9604696046---0.015--0.556%
2015-12-31T02:36:15Squeeky_SquirrelP4_260017500046812506---0.064--2.445%
2017-05-06T16:05:27Jocelyn Larouchelow 4M35000035000006---0.079--2.561%
2022-03-01T15:50:05Jocelyn LaroucheManual testing100000100000---0.015--0.571%
2022-05-19T11:07:27Jocelyn LaroucheManual testing100000130364850-
skipped known factor: 1178303944981483505907497
--1.096--3.898%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-16T10:29:00S485122USB-A260261--0.043--
2011-06-26T07:37:00markrManual testing21262--0.173--
2012-06-20T01:21:00GrunwalderGIMPManual testing21263--0.448--
2016-02-23T16:29:33Mark RoseManual testing262263--0.276--
2015-01-30T19:15:00VictordeHollanderManual testing263264--0.551--
2015-01-30T19:15:00VictordeHollanderManual testing264265--1.049--
2016-03-01T09:33:53ramgeisManual testing265266--2.098--
2017-01-17T15:28:30Gordon SpenceManual testing266267--4.197--
2019-01-21T12:54:03TJAOIManual testing267268--8.393--
2020-12-23T07:19:29axnManual testing268269--16.79--
2021-03-17T11:31:21-Anonymous-Manual testing269270--33.57--
2021-03-17T11:31:21-Anonymous-Manual testing270271--67.15--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.460 GHz-days
Estimated T-Level:1.450
DigitsB1CurvesCompleteFacMiss
201100029 / 1000.29074.717%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:4.460 GHz-days
Estimated T-Level:1.450
DigitsB1CompleteFacMiss
20110001.13832.052%
25500000.10590.004%
302500000.00799.337%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.254
50000680000071.206


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-11T00:00:00ANONYMOUSv4_computers6EDC926C8FF402450.374
2000-01-12T00:00:00bjetv4_computers6EDC926C8FF402450.374


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-17T03:54:34123456789123456789byebye
1178303944981483505907497
8842CA2EAA94179Fno


P-1 factor-bounds graph:
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 350000, B2 = 3500000 (P-1 stage 2)
B1 = 175000, B2 = 4681250 (P-1 stage 2)
B1 = 350000 (P-1 stage 1)
B1 = 175000 (P-1 stage 1)
B1 = 60000, B2 = 1005000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 96046 (P-1 stage 1)
B1 = 78023 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
262
261
250
260
270
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2100
Last modified: 2022-05-19T11:07:27+00:00