is 2 5213231 - 1
has 1569339 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
Actual2675.699765.6716%2500000655524870082.320714.5697%88.020470.6732%5.0015%
PrimeNet2620.117862.9032%220005000000.01103.0041%0.128864.0176%1.1144%
GPU722662.832965.1515%300006000000.01401.9881%2.846965.8443%0.6928%
Difference+1+2.8668+0.5201%+2470000+6554648700+82.3067+12.5816%+85.1736+4.8289%+4.8289%

Known prime factors (4 factors, 172.8 bits, 0.00331399% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
521323110426463823.3141
1
-112.144e-132.290e-74.660e-7
521323122521157931031.069216
23 × 33
2008-09-0827275.744e-116.182e-61.258e-5
521323120855009292411340.924200020
22 × 5 × 73 × 137
2008-09-08731373.637e-81.751e-53.402e-5
52132312078836148001766736385612477.46019938078209096880
24 × 3 × 5 × 7 × 29 × 37 × 8521 × 1298027
2022-01-21852112980278,006.30.01800.0302

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
5213231234816019874301591754.382
5213231217443982751969045832064.237
521323146967895790598316031132271.992
5213231489709027648529089960883793192995.306
5213231216749081802029448115553163974331100.774
521323146817797199740642589161000189387333108.529
521323143354147183974655340419135407006220136118.384
5213231488144030244599419552111369517639676119940131.843
5213231452030411510265936844632519813140294642506343141.697
521323197638559565075797803889726089524191136444039345149.452
521323110180248286785588979977374851525586664890617273319
959
53172.766
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-21T08:14:45happy5214Manual testing250000025000002477.4600.5721.6471.1454.118%
2022-01-25T05:54:43happy5214Manual testing25000006555248700-
skipped known factor: 10426463
skipped known factor: 2252115793
skipped known factor: 2085500929241
skipped known factor: 207883614800176673638561
--82.32--14.570%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-01-21T08:14:46happy5214Manual testing12500004625000027P-12477.4600.985


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T01:29:00Will EdgingtonManual testing??40.924138.27091e-91.7891.79741e-8
2008-09-08T01:29:00Will EdgingtonManual testing??31.069102.56566e-121.7895.57559e-12


ECM factoring results:
No ECM results for M5213231


Lucas-Lehmer results:
No L-L results for M5213231


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-24T08:01:16Oliver KruseGTX-0
10426463
2252115793
2085500929241
1D4E5254B0695A__no
2018-01-22T09:57:22kkmrkkblmbrbkc4.xlarge
10426463
2252115793
2085500929241
1D4E5254B0695A__no
2022-01-21T13:36:17happy5214Manual testing
10426463
2252115793
2085500929241
207883614800176673638561
1D4E5254B0695AFDno


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)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-01-25T05:54:43+00:00