is 2 3103483 - 1
has 934242 decimal digits
takes 0.264 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27076.994368.5714%3103483311752749021.323710.7294%98.318071.9435%3.3721%
PrimeNet2600.049563.3333%120002200000.00292.5309%0.052464.2613%0.9280%
GPU722641.146965.6250%140002400000.00321.5074%1.150166.1432%0.5182%
Difference+6+75.8475+2.9464%+3089483+3117287490+21.3205+9.2219%+97.1679+5.8003%+5.8003%

Known prime factors (4 factors, 180.1 bits, 0.00580224% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3103483347590097928.37356
23 × 7
-881.166e-119.873e-72.009e-6
310348340779766631031.925657
32 × 73
2008-09-079731.053e-101.541e-62.260e-6
310348345536288805131342.050733632
26 × 3 × 3821
2008-09-306438213.388e-73.316e-54.798e-5
31034832494775229023697767630712477.72340193151195345645
3 × 5 × 7 × 23 × 1058507 × 15723209
2018-07-1610585071572320918,1560.22920.2659

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
310348314174643038559063111960.298
310348315827963042795150797612270.423
3103483185695923066948294681192373.975
3103483645460639113450952422194161754331102.348
31034838671591638495443223494419490788732106.096
3103483101736351633891197703632321821207334109.648
3103483113602805332707440515638871856993542337119.773
310348335362548332850349897251735994168662064108142138.021
310348339487210125067896521452645485742955496430603145148.146
3103483463269588998112893029236005968467138841103344946151.699
310348316102792137700419330498276715047207173109157924081
54553
55180.071
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-02T21:53:04Jocelyn LaroucheManual testing31034833103483-
skipped known factor: 347590097
skipped known factor: 4077976663
skipped known factor: 4553628880513
--0.383--3.085%
2022-01-02T23:44:20Jocelyn LaroucheManual testing3103483116689650-
skipped known factor: 347590097
skipped known factor: 4077976663
skipped known factor: 4553628880513
skipped known factor: 249477522902369776763071
--1.147--7.021%
2022-08-04T01:56:28Jocelyn LaroucheManual testing31034833117527490-
skipped known factor: 347590097
skipped known factor: 4077976663
skipped known factor: 4553628880513
skipped known factor: 249477522902369776763071
--21.32--10.729%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:46:00markrManual testing??42.050131.50050e-70.5863.32875e-7
2008-09-07T19:44:00Will EdgingtonManual testing??31.925101.31089e-110.5862.90813e-11
2021-01-04T13:51:30Jocelyn LaroucheManual testing260261--0.049--
2021-01-05T04:03:49Jocelyn LaroucheManual testing261262--0.099--
2021-01-06T02:31:34Jocelyn LaroucheManual testing262263--0.316--
2021-01-07T23:43:18Jocelyn LaroucheManual testing263264--0.633--
2021-01-14T02:35:50Jocelyn LaroucheManual testing264265--1.204--
2021-02-04T11:55:01Jocelyn LaroucheManual testing265266--2.408--
2021-02-06T11:14:31Jocelyn LaroucheManual testing266267--4.816--
2021-02-06T18:57:49Jocelyn LaroucheManual testing267268--9.63--
2021-09-04T19:50:29Jocelyn LaroucheManual testing268269--19.26--
2021-11-16T12:13:08Jocelyn LaroucheManual testing269270--38.53--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.350 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.350 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.350


Lucas-Lehmer results:
No L-L results for M3103483


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-29T18:30:45Oliver KruseGTX-2
347590097
4077976663
4553628880513
DB6023402B5C2D__no
2017-12-11T19:35:55kkmrkkblmbrbkc4.xlarge
347590097
4077976663
4553628880513
DB6023402B5C2D__no
2018-07-16T10:52:59ATHec2-PRPCF
347590097
4077976663
4553628880513
249477522902369776763071
DB6023402B5C2D__no


P-1 factor-bounds graph:
B1 = 3103483, B2 = 3117527490 (P-1 stage 2)
B1 = 3103483, B2 = 116689650 (P-1 stage 2)
B1 = 3103483 (P-1 stage 1)
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1010
TF factor-bounds graph:
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Last modified: 2022-08-04T01:56:28+00:00