is 2 3104501 - 1
has 934548 decimal digits
takes 0.264 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP5E50980B78347194verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.199567.6471%31045016374375704.648210.3961%23.847771.0105%3.3635%
PrimeNet2600.049563.3333%130002400000.00312.6429%0.052664.3024%0.9691%
GPU722641.146565.6250%140002400000.00321.5075%1.149866.1432%0.5182%
Difference+4+18.0530+2.0221%+3090501+637197570+4.6450+8.8886%+22.6980+4.8673%+4.8673%

Known prime factors (1 factor, 68.3 bits, 0.00219868% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31045013529289273376770300472168.25856841490361523
3 × 7 × 1051 × 2575392613
2020-12-091051257539261321.21317.31632.342

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.250%
2009-07-03T07:23:00Carsten Kossendeyleela15000180000---0.003--0.762%
2011-08-21T21:41:00Squeeky_SquirrelT7500_22001000002125000---0.026--2.538%
2016-08-27T01:34:29Jocelyn Larouchelow4M10000042500006---0.040--2.960%
2016-12-28T01:45:55Jocelyn Larouchelow 4M120000120000---0.015--0.951%
2017-01-19T17:19:11Jocelyn Larouchelow 4M156000156000---0.019--1.099%
2017-02-04T18:42:39Jocelyn Larouchelow 4M187200187200---0.023--1.210%
2017-02-16T04:19:48Jocelyn Larouchelow 4M22464022464006---0.041--2.939%
2017-03-11T20:20:05Jocelyn Larouchelow 4M26956826956806---0.050--3.149%
2018-07-22T02:27:53mikrMSI300000010000000012---1.022--8.049%
2021-01-17T00:34:24Jocelyn LaroucheManual testing31045031045016---0.057--3.316%
2021-06-17T15:57:28Jocelyn LaroucheManual testing31045013104501---0.383--3.754%
2021-12-19T09:29:23Jocelyn LaroucheManual testing3104501108997350---1.095--8.177%
2021-12-22T12:52:22Jocelyn LaroucheManual testing3104501637437570---4.648--10.396%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-02-12T17:22:00Sturle Sundeghirardelli.ifi260261--0.049--
2011-11-01T06:26:00markrManual testing261262--0.099--
2013-01-07T13:56:00dbaughManual testing262263--0.316--
2015-02-07T18:29:00VictordeHollanderManual testing263264--0.632--
2015-02-07T18:29:00VictordeHollanderManual testing264265--1.204--
2015-06-11T22:04:00ThaManual testing265266--2.407--
2017-04-11T13:39:11Gordon SpenceManual testing266267--4.814--
2019-02-04T14:28:20TJAOIManual testing267268--9.63--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.804 GHz-days
Estimated T-Level:1.200
DigitsB1CurvesCompleteFacMiss
201100024 / 1000.24078.568%
255000024 / 2800.08691.772%

New Calculation Method

Total ECM effort:2.804 GHz-days
Estimated T-Level:1.200
DigitsB1CompleteFacMiss
20110000.77446.108%
25500000.07093.242%
302500000.00499.570%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.570
50000500000020.234


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computers33A3C7E555F628__0.264


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-09T19:47:41JayderBlack_Adder
352928927337677030047
5E50980B78347194no


P-1 factor-bounds graph:
B1 = 3104501, B2 = 637437570 (P-1 stage 2)
B1 = 3104501, B2 = 108997350 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3104501 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 310450, B2 = 3104501 (P-1 stage 2)
B1 = 269568, B2 = 2695680 (P-1 stage 2)
B1 = 224640, B2 = 2246400 (P-1 stage 2)
B1 = 100000, B2 = 4250000 (P-1 stage 2)
B1 = 310450 (P-1 stage 1)
B1 = 269568 (P-1 stage 1)
B1 = 224640 (P-1 stage 1)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 187200 (P-1 stage 1)
B1 = 156000 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2021-12-22T12:52:22+00:00