is 2 3710243 - 1
has 1116895 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-LCE43FCE52AB71ACDdouble-checked
PRP9F214A0A1055DBDBverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27064.403068.5714%140000007000000007.823910.2447%72.226971.7912%3.2198%
PrimeNet2600.041463.3333%160003200000.00503.0851%0.046464.4645%1.1312%
GPU722640.959365.6250%220004500000.00692.1067%0.966266.3492%0.7242%
Difference+6+63.4436+2.9464%+13978000+699550000+7.8170+8.1380%+71.2607+5.4420%+5.4420%

Known prime factors (1 factor, 72.7 bits, 0.00195981% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
371024377446895711740907659032272.7141043690342003757
33 × 7 × 59 × 93596120707
2022-01-095993596120707441.73776.591,450.4

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers50000987500---0.015--1.427%
2012-12-11T20:02:00Squeeky_SquirrelT7500_22002450007717500---0.099--3.247%
2021-05-12T01:41:57axnManual testing14000000700000000---7.824--10.245%
2022-03-04T04:18:13Jocelyn LaroucheManual testing9000090000---0.014--0.622%
2022-03-22T11:08:58Jocelyn LaroucheManual testing100000100000---0.015--0.665%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-21T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-07T07:42:00S485122USB-A260261--0.041--
2011-04-15T19:31:00Grant 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--
2019-02-13T05:38:53YxinityManual testing267268--8.056--
2020-12-13T13:19:10axnManual testing268269--16.11--
2021-03-05T16:26:31axnManual testing269270--32.23--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.090 GHz-days
Estimated T-Level:1.650
DigitsB1CurvesCompleteFacMiss
201100033 / 1000.33071.773%
255000033 / 2800.11888.864%

New Calculation Method

Total ECM effort:5.090 GHz-days
Estimated T-Level:1.650
DigitsB1CompleteFacMiss
20110001.08033.957%
25500000.09890.669%
302500000.00699.398%


ECM Summary

B1B2factorcurvesGHz-days
500005000000192.834
50000500000071.044
50000675000071.212


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-13T00:00:00ANONYMOUSv4_computersCE43FCE52AB71ACD0.390
1999-11-10T00:00:00ANONYMOUSv4_computersCE43FCE52AB71ACD0.390


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-15T09:54:22kutensterra
7744689571174090765903
9F214A0A1055DBDBno


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 = 50000, B2 = 987500 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-22T11:08:58+00:00