is 2 3714131 - 1
has 1118065 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-L678C44C2FA19BDC1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2678.000267.1642%1000001303648501.09616.0014%9.096369.1348%1.9706%
PrimeNet2600.041463.3333%160003200000.00503.0857%0.046364.4648%1.1314%
GPU722640.958365.6250%220004500000.00692.1071%0.965266.3493%0.7243%
Difference+3+7.0419+1.5392%+78000+129914850+1.0892+3.8944%+8.1311+2.7855%+2.7855%

Known prime factors (1 factor, 73.2 bits, 0.00197075% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3714131108216849364010491617772373.1961456825962304648
23 × 13 × 95813 × 146200849
2015-11-1295813146200849585.031.22692.2657

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:48:00Carsten Kossendeyleela20000265000---0.005--1.148%
2012-12-10T16:14:00Squeeky_SquirrelT7500_22002450007717500---0.099--4.446%
2022-03-05T05:36:30Jocelyn LaroucheManual testing9000090000---0.014--0.960%
2022-03-22T11:10:30Jocelyn LaroucheManual testing100000100000---0.015--1.019%
2022-05-25T14:13:40Jocelyn LaroucheManual testing100000130364850---1.096--6.001%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-21T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-07T07:42:00S485122USB-A260261--0.041--
2011-04-19T16:14:00Grant McCrackenthumper261262--0.083--
2012-04-19T23:28:00GrunwalderGIMPManual testing21263--0.430--
2015-01-22T10:39:00VictordeHollanderManual testing263264--0.529--
2015-01-22T10:39:00VictordeHollanderManual testing264265--1.006--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.342 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.342 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.895
50000500000030.447


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-21T00:00:00ANONYMOUSv4_computers678C44C2FA19BDC10.390
1998-05-23T00:00:00ANONYMOUSv4_computers678C44C2FA19BDC10.390
1999-08-07T00:00:00ANONYMOUSv4_computers678C44C2FA19BDC10.390


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T17:02:21kkmrkkblmbrbkManual testing
10821684936401049161777
38DF03A825E382__no
2017-12-01T11:00:26Oliver KruseGTX-0
10821684936401049161777
38DF03A825E382__no


P-1 factor-bounds graph:
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 245000, B2 = 7717500 (P-1 stage 2)
B1 = 245000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (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:
267
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-05-25T14:13:40+00:00