is 2 3709943 - 1
has 1116805 decimal digits
takes 0.390 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-
PRPA6757746FC84B766verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27064.408268.5714%140000007000000007.823910.2446%72.232171.7912%3.2197%
PrimeNet2600.041463.3333%160003200000.00503.0851%0.046464.4645%1.1312%
GPU722640.959465.6250%220004500000.00692.1066%0.966366.3492%0.7242%
Difference+6+63.4488+2.9464%+13978000+699550000+7.8170+8.1380%+71.2658+5.4420%+5.4420%

Known prime factors (1 factor, 77.1 bits, 0.00207851% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
37099431632590226098832794349832477.11222002901744027237
11 × 18457 × 108374264231
2021-09-261845710837426423112,709899.211,679.5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-08-24T00:00:00estrandv4_computers15000142500---0.003--0.531%
2010-09-12T13:35:00markrtiny1000002150000---0.032--2.058%
2015-10-19T21:22:15mikrMSI16000006600000012---0.778--6.142%
2021-05-05T04:04:53axnManual testing14000000700000000---7.824--10.245%
2022-03-04T04:18:13Jocelyn LaroucheManual testing9000090000---0.014--0.622%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-04T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-07T07:42:00S485122USB-A260261--0.041--
2011-04-15T08:10:00Grant McCrackenthumper261262--0.083--
2012-04-19T23:23:00GrunwalderGIMPManual testing21263--0.430--
2016-02-23T16:29:37Mark RoseManual testing262263--0.265--
2015-01-20T20:48:00VictordeHollanderManual testing263264--0.529--
2015-01-20T20:48:00VictordeHollanderManual testing264265--1.007--
2016-02-23T09:49:01ramgeisManual testing265266--2.014--
2016-10-30T14:39:30Gordon SpenceManual testing266267--4.028--
2022-01-18T20:12:53Jocelyn LaroucheManual testing267268--8.057--
2019-01-07T14:44:09TJAOIManual testing267268--8.057--
2020-12-17T10:34:01axnManual testing268269--16.11--
2021-03-05T16:26:31axnManual testing269270--32.23--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.983 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:2.983 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.64552.458%
25500000.05894.336%
302500000.00499.642%


ECM Summary

B1B2factorcurvesGHz-days
500005000000192.833
50000500000010.149


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-08-31T00:00:00estrandv4_computersC4498EFCD76605__0.390


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-26T14:48:14zr_zirconRyzen_5_3550H
163259022609883279434983
A6757746FC84B766no


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 1600000, B2 = 66000000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 100000, B2 = 2150000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 15000, B2 = 142500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-03-04T04:18:13+00:00