is 2 3138403 - 1
has 944754 decimal digits
takes 0.267 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP0AF82336569BE947verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.040668.1159%30000001000000001.02247.4273%39.063170.4841%2.3681%
PrimeNet2600.048963.3333%130002400000.00312.6481%0.052164.3043%0.9710%
GPU722641.134165.6250%150002400000.00341.5431%1.137566.1554%0.5304%
Difference+5+36.9065+2.4909%+2985000+99760000+1.0191+5.8842%+37.9256+4.3286%+4.3286%

Known prime factors (1 factor, 83.7 bits, 0.00266665% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3138403156066985167211995679827372683.6902486407659679333656
23 × 32 × 72 × 59 × 2767 × 4317005359
2021-06-23276743170053591,180,27129.02754.214

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.202%
2009-07-03T00:57:00Carsten Kossendeyleela15000183750---0.003--0.656%
2011-09-05T08:00:00Squeeky_SquirrelT7500_220055000935000---0.013--1.600%
2013-09-01T09:39:00Squeeky_SquirrelT7500_22001100002475000---0.029--2.386%
2016-11-07T18:54:46Squeeky_SquirrelP4_2600195000546000012---0.059--3.165%
2017-01-10T17:24:07Jocelyn Larouchelow 4M132000132000---0.016--0.876%
2018-07-17T23:14:19Jocelyn Larouchelow 4M6540001308000---0.085--2.495%
2018-07-19T10:19:08Jocelyn Larouchelow 4M6540002616000---0.094--3.080%
2018-07-19T20:38:16Jocelyn Larouchelow 4M6540003270000---0.098--3.271%
2019-02-07T19:11:26mikrMSI300000010000000012---1.022--7.427%
2022-02-22T08:54:02Jocelyn LaroucheManual testing1000000128282700---0.979--6.936%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-10T12:34:00S485122USB-A260261--0.049--
2011-11-10T06:27:00Grant McCrackenthumper261262--0.098--
2013-01-07T14:05:00dbaughManual testing262263--0.313--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.626--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.191--
2015-06-14T13:51:00ThaManual testing265266--2.381--
2017-04-17T17:51:58Gordon SpenceManual testing266267--4.762--
2019-01-07T14:44:23TJAOIManual testing267268--9.52--
2021-04-28T08:39:06TJAOIManual testing268269--19.05--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.807 GHz-days
Estimated T-Level:2.900
DigitsB1CurvesCompleteFacMiss
201100058 / 1000.58055.827%
255000058 / 2800.20781.260%

New Calculation Method

Total ECM effort:6.807 GHz-days
Estimated T-Level:2.900
DigitsB1CompleteFacMiss
20110002.23410.710%
25500000.20781.327%
302500000.01398.705%


ECM Summary

B1B2factorcurvesGHz-days
500005000000576.672
50000675000010.135


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computersBD82B3BB0601D1__0.267


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-24T09:51:25tottenhoff2018pc
15606698516721199567982737
0AF82336569BE947no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 128282700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 654000, B2 = 3270000 (P-1 stage 2)
B1 = 654000, B2 = 2616000 (P-1 stage 2)
B1 = 654000, B2 = 1308000 (P-1 stage 2)
B1 = 654000 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 110000, B2 = 2475000 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 132000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 55000, B2 = 935000 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 183750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-22T08:54:02+00:00