is 2 5213737 - 1
has 1569492 decimal digits
takes 0.823 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
Actual2675.699265.6716%2500000655524870082.320714.5698%88.019970.6732%5.0016%
PrimeNet2620.117862.9032%220005000000.01103.0041%0.128864.0177%1.1144%
GPU722662.832665.1515%300006000000.01401.9881%2.846665.8443%0.6928%
Difference+1+2.8666+0.5201%+2470000+6554648700+82.3067+12.5817%+85.1733+4.8289%+4.8289%

Known prime factors (4 factors, 196.7 bits, 0.00377364% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5213737156412111927.22115
3 × 5
-353.441e-127.119e-71.398e-6
5213737907190239929.75787
3 × 29
2008-09-083291.398e-111.011e-61.398e-6
521373786806643806981549911962.913832480079135
5 × 166496015827
2016-11-0751664960158270.17792,077.13,879.5
52137371369074806279967379583532476.85813129496235425448
23 × 32 × 631 × 19387 × 14906497
2022-01-2419387149064973,347.00.19020.3473

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
52137371418955403605845291856.978
521373713577610406675060759474960012890.133
521373778750139942043462131443328492892.669
52137372141398805671657548517982281318332104.078
521373712420113007180023079965863011636733106.614
5213737123174756298804355657276104859873423937119.890
52137371942656094311585566966182441586913812073741133.835
5213737118844789053857395485694054750348329708982343139.770
521373718588764337263527920879277403651560235105937204635
3
51166.991
521373710781483258567347448258431060984758656194245318376
97
52169.527
521373716863545561836776500525644757965958402408651362992
0897148367
60196.748
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-24T04:13:33happy5214Manual testing250000065552487002476.85882.321.647164.614.570%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-01-24T04:13:33happy5214Manual testing12500004625000027P-12476.8580.985


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T01:29:00Will EdgingtonManual testing??29.75792.58322e-131.7895.61369e-13
2016-11-07T18:29:41TJAOIManual testing262263*62.913190.0601.6710.122


ECM factoring results:
No ECM results for M5213737


Lucas-Lehmer results:
No L-L results for M5213737


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-24T05:56:52Oliver KruseGTX-2
156412111
907190239
8680664380698154991
0F97C68F56D27E__no
2018-01-22T11:02:26kkmrkkblmbrbkc4.xlarge
156412111
907190239
8680664380698154991
0F97C68F56D27E__no
2022-01-24T08:02:57happy5214Manual testing
156412111
907190239
8680664380698154991
136907480627996737958353
0F97C68F56D27E1Cno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 6555248700 (P-1 stage 2)
B1 = 1250000, B2 = 46250000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1250000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-24T08:02:57+00:00