is 2 3511679 - 1
has 1057121 decimal digits
takes 0.369 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7EE276CBF1F7E475double-checked
PRPBE64B504820CE884verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272272.329569.4444%40000001500000001.82066.4127%274.150071.4039%1.9594%
PrimeNet2600.043763.3333%150003000000.00462.9622%0.048464.4195%1.0861%
GPU722641.013665.6250%200003600000.00591.9166%1.019466.2838%0.6588%
Difference+8+271.3159+3.8194%+3980000+149640000+1.8147+4.4962%+273.1306+5.1201%+5.1201%

Known prime factors (1 factor, 86.6 bits, 0.00246561% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35116791160122536750492305912046412786.58416518060687643892080
24 × 5 × 11 × 23 × 43 × 349 × 997 × 54545573
2021-10-12997545455737,225,2780.45270.8453

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:43:00Carsten Kossendeyleela20000240000---0.005--0.510%
2011-11-12T10:21:00markrtiny2350005875000---0.083--2.425%
2021-10-12T22:51:10mikrMSI4000000150000000122786.5841.8210.7383.6416.413%
2022-04-24T23:35:31Jocelyn LaroucheManual testing1000000145208700-
skipped known factor: 116012253675049230591204641
--1.349--5.486%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-27T15:09:56ArtyomPaxioo50000250000027--0.032
2021-08-27T15:29:39ArtyomPaxioo50000250000065--0.032


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-14T00:00:00ANONYMOUSv4_computers21260--0.044--
2009-03-23T02:32:00Jayson Kingatlas260261--0.044--
2011-07-10T01:43:00markroldgamer261262--0.087--
2012-06-20T01:19:00GrunwalderGIMPManual testing21263--0.454--
2016-02-23T16:29:31Mark RoseManual testing262263--0.280--
2015-01-25T20:43:00VictordeHollanderManual testing263264--0.559--
2015-01-25T20:43:00VictordeHollanderManual testing264265--1.064--
2016-02-29T15:53:35YxinityManual testing265266--2.128--
2017-01-07T17:26:13Gordon SpenceManual testing266267--4.256--
2018-12-10T15:07:47TJAOIManual testing267268--8.512--
2021-01-16T08:58:50axnManual testing268269--17.02--
2021-03-17T11:32:36-Anonymous-Manual testing269270--34.05--
2021-03-17T11:32:36-Anonymous-Manual testing270271--68.09--
2021-03-19T11:33:18-Anonymous-Manual testing271272--136.2--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.432 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:5.432 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.16931.073%
25500000.10590.026%
302500000.00699.355%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.278
50000630000071.155


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-05T00:00:00ANONYMOUSv4_computers7EE276CBF1F7E4750.369
1999-07-12T00:00:00ANONYMOUSv4_computers7EE276CBF1F7E4750.369


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-20T05:37:47kutenselaine1
116012253675049230591204641
BE64B504820CE884no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 145208700 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 235000, B2 = 5875000 (P-1 stage 2)
B1 = 235000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-04-24T23:35:31+00:00