is 2 3712927 - 1
has 1117703 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-LB4838FFEC05C2508double-checked
PRP37A0BB5EE95CD819verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27064.356468.5714%140000007000000007.823910.2453%72.180371.7914%3.2200%
PrimeNet2600.041463.3333%160003200000.00503.0855%0.046364.4647%1.1314%
GPU722640.958665.6250%220004500000.00692.1069%0.965566.3493%0.7243%
Difference+6+63.3978+2.9464%+13978000+699550000+7.8170+8.1384%+71.2148+5.4421%+5.4421%

Known prime factors (1 factor, 95.4 bits, 0.00256842% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3712927509730758385307197834208305132995.3646864271212244506797928
23 × 3 × 286011300510187783247
2021-10-0782860113005101877832473.727e+92.373e+124.432e+12

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:47:00Carsten Kossendeyleela20000265000---0.005--0.729%
2012-12-09T07:51:00Squeeky_SquirrelT7500_22002450007717500---0.099--3.247%
2021-05-14T15:49:28axnManual testing14000000700000000---7.824--10.245%
2022-03-04T04:18:03Jocelyn LaroucheManual testing9000090000---0.014--0.623%
2022-03-22T17:36:43Jocelyn LaroucheManual testing100000100000---0.015--0.665%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-21T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-07T17:50:00S485122USB-A260261--0.041--
2011-04-18T13:04:00Grant McCrackenthumper261262--0.083--
2012-04-19T23:27:00GrunwalderGIMPManual testing21263--0.430--
2016-02-23T16:29:37Mark RoseManual testing262263--0.264--
2015-01-20T20:48:00VictordeHollanderManual testing263264--0.529--
2015-01-20T20:48:00VictordeHollanderManual testing264265--1.006--
2016-02-23T16:35:12ramgeisManual testing265266--2.013--
2016-10-31T13:33:10Gordon SpenceManual testing266267--4.025--
2019-02-04T14:28:13TJAOIManual testing267268--8.051--
2020-12-14T01:48:38axnManual testing268269--16.10--
2021-03-06T17:44:05axnManual testing269270--32.20--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.897 GHz-days
Estimated T-Level:1.250
DigitsB1CurvesCompleteFacMiss
201100025 / 1000.25077.782%
255000025 / 2800.08991.444%

New Calculation Method

Total ECM effort:3.897 GHz-days
Estimated T-Level:1.250
DigitsB1CompleteFacMiss
20110000.82243.954%
25500000.07592.809%
302500000.00599.541%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.790
50000500000060.895
50000675000071.213


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-09T00:00:00rpaliv4_computersB4838FFEC05C25080.390
1998-01-05T00:00:00rpaliv4_computersB4838FFEC05C25080.390
1999-08-22T00:00:00ANONYMOUSv4_computersB4838FFEC05C25080.390


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-13T17:36:04RichD0Linux-5
50973075838530719783420830513
37A0BB5EE95CD819no


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
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)
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TF factor-bounds graph:
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Last modified: 2022-03-22T17:36:43+00:00