is 2 3911521 - 1
has 1177486 decimal digits
takes 0.488 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6579408905B484A9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271122.223169.0141%3911521395447745039.632510.6711%161.855772.3206%3.3065%
PrimeNet2600.039363.3333%170003600000.00653.2493%0.045764.5248%1.1914%
GPU722640.910065.6250%260005000000.00942.2791%0.919366.4084%0.7834%
Difference+7+121.3132+3.3891%+3885521+3953977450+39.6232+8.3920%+160.9363+5.9122%+2.5231%

Known prime factors (2 factors, 203.3 bits, 0.00519857% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
391152133232543110087569449362712581.459424803332387676935
5 × 74 × 11 × 1013 × 3175584109
2022-07-1724013175584109239,97231.29058.440
3911521490728616343554318793898900305900400737121.884627286183997931135731981114643
3 × 23 × 2017 × 3079 × 5501 × 27697 × 253769 × 37860653
2021-06-13253769378606534.839e+100.41640.6967

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
391152116308159897990792304664658032229749911860252876668
131348637897
62203.343
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T19:20:00Carsten Kossendeyleela20000285000---0.006--0.646%
2011-10-05T22:10:00Squeeky_SquirrelT7500_2200700001172500---0.024--1.443%
2014-11-03T03:43:00Jocelyn LaroucheManual testing8640986409---0.016--0.529%
2016-03-01T03:18:04Jocelyn LaroucheManual testing22809622809606---0.061--2.184%
2020-11-24T02:51:53Carlos PinhoHomeComputer17200047610006---0.076--2.479%
2021-06-13T08:56:04axnManual testing1400000070000000037121.8849.2910.97618.589.592%
2022-02-12T05:37:10Jocelyn LaroucheManual testing1000000134904000-
skipped known factor: 4907286163435543187938989003059004007
--1.500--6.003%
2022-07-17T00:12:01Jocelyn LaroucheManual testing391152139544774502581.45939.630.97679.2710.671%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-16T00:00:00ANONYMOUSv4_computers21260--0.039--
2008-12-30T19:12:00Architects Cubedi4l_1260261--0.039--
2011-02-14T07:17:00Grant McCrackenthumper261262--0.079--
2012-02-10T17:44:00GrunwalderGIMPManual testing21263--0.408--
2016-02-23T16:29:43Mark RoseManual testing262263--0.251--
2015-01-14T12:13:00VictordeHollanderManual testing263264--0.502--
2015-01-14T12:13:00VictordeHollanderManual testing264265--0.955--
2016-02-11T09:59:18ramgeisManual testing265266--1.910--
2016-12-03T15:46:48Gordon SpenceManual testing266267--3.821--
2019-01-18T16:07:08YxinityManual testing267268--7.642--
2020-06-12T11:33:01TJAOIManual testing268269--15.28--
2021-04-17T01:52:48axnManual testing269270--30.57--
2021-06-09T16:48:24-Anonymous-Manual testing270271--61.13--


ECM factoring results:
Total ECM effort:3.223 GHz-days
Estimated T-Level:3.462
DigitsB1CompleteFacMiss
20110000.69250.042%
25500000.06493.795%
302500000.00499.597%


ECM Summary

B1B2factorcurvesGHz-days
500005000000183.223


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-01T00:00:00ANONYMOUSv4_computers6579408905B484A90.488
1998-04-27T00:00:00ANONYMOUSv4_computers6579408905B484A90.488
1999-01-17T00:00:00ANONYMOUSv4_computers6579408905B484A90.488
1999-09-07T00:00:00ANONYMOUSv4_computers6579408905B484A90.488


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-16T16:52:06Sébastien BrouckePortable_Seb
4907286163435543187938989003059004007
09D696C7D39EFC__no
2021-06-27T12:23:33marssystemsSYSTEM01
4907286163435543187938989003059004007
09D696C7D39EFCEAno
2022-07-18T18:47:54Wentao HuangBiolake
3323254311008756944936271
4907286163435543187938989003059004007
09D696C7D39EFCEAno


P-1 factor-bounds graph:
B1 = 3911521, B2 = 3954477450 (P-1 stage 2)
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 1000000, B2 = 134904000 (P-1 stage 2)
B1 = 3911521 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 172000, B2 = 4761000 (P-1 stage 2)
B1 = 228096, B2 = 2280960 (P-1 stage 2)
B1 = 228096 (P-1 stage 1)
B1 = 172000 (P-1 stage 1)
B1 = 70000, B2 = 1172500 (P-1 stage 2)
B1 = 86409 (P-1 stage 1)
B1 = 70000 (P-1 stage 1)
B1 = 20000, B2 = 285000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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Last modified: 2022-07-18T18:47:54+00:00