is 2 3035407 - 1
has 913749 decimal digits
takes 0.258 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LECEEB9AF82F7EBE1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26939.331468.1159%30000001000000001.02247.4024%40.353870.4761%2.3602%
PrimeNet2600.050663.3333%120002200000.00292.5206%0.053564.2575%0.9242%
GPU722641.172665.6250%130002200000.00301.4296%1.175666.1164%0.4914%
Difference+5+38.1588+2.4909%+2987000+99780000+1.0194+5.9728%+39.1782+4.3597%+4.3597%

Known prime factors (1 factor, 93.4 bits, 0.00307787% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3035407133047512206572911178006652332993.4262191592630025774322488
23 × 34 × 23 × 49253 × 770761 × 3873509
2017-07-2077076138735091.243e+90.11600.1936

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.121%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.200%
2010-10-09T11:58:00markrtiny1100002420000---0.029--2.361%
2016-10-07T15:35:52Squeeky_SquirrelP4_260019500053137506---0.058--3.132%
2017-01-04T22:58:48Jocelyn Larouchelow 4M132000132000---0.016--0.870%
2017-07-20T18:36:38mikrMSI3000000100000000122993.4261.0220.5172.0457.402%
2017-07-30T01:23:08Jocelyn Larouchelow 4M39000039000006---0.072--3.229%
2017-08-04T01:09:20Jocelyn Larouchelow 4M46800046800006---0.086--3.443%
2020-05-15T14:24:10Jocelyn LaroucheManual testing3642603035407---0.063--3.013%
2020-09-10T19:23:57Jocelyn LaroucheManual testing36426060708146---0.083--3.541%
2022-01-06T11:35:09Jocelyn LaroucheManual testing1219570116447100-
skipped known factor: 13304751220657291117800665233
--0.925--6.967%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-15T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-02-03T20:18:00Jayson Kingatlas260261--0.051--
2010-10-16T18:31:00Sid & AndyBuzz261262--0.101--
2013-01-07T13:54:00dbaughManual testing262263--0.323--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.647--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.231--
2015-06-02T19:30:00ThaManual testing265266--2.462--
2021-02-21T11:36:43Jocelyn LaroucheManual testing265266--2.462--
2021-02-22T09:03:47Jocelyn LaroucheManual testing266267--4.924--
2017-05-02T20:08:25Gordon SpenceManual testing266267--4.924--
2021-04-10T02:19:14Jocelyn LaroucheManual testing267268--9.85--
2022-01-05T10:04:45Jocelyn LaroucheManual testing268269--19.69--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.396 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:1.396 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.396


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31T00:00:00BrightSpotv4_computersECEEB9AF82F7EBE10.258


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:09:44alpertronManual testing
13304751220657291117800665233
FA937E079280A0__no
2017-11-17T14:23:39Oliver KruseThreadripper
13304751220657291117800665233
FA937E079280A0__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1219570, B2 = 116447100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1219570 (P-1 stage 1)
B1 = 468000, B2 = 4680000 (P-1 stage 2)
B1 = 364260, B2 = 6070814 (P-1 stage 2)
B1 = 390000, B2 = 3900000 (P-1 stage 2)
B1 = 364260, B2 = 3035407 (P-1 stage 2)
B1 = 195000, B2 = 5313750 (P-1 stage 2)
B1 = 468000 (P-1 stage 1)
B1 = 390000 (P-1 stage 1)
B1 = 364260 (P-1 stage 1)
B1 = 110000, B2 = 2420000 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 132000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-06T11:35:09+00:00