is 2 5214613 - 1
has 1569755 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
Actual2675.698265.6716%2500000655524870082.320714.5700%88.018970.6733%5.0016%
PrimeNet2620.117862.9032%220005000000.01103.0042%0.128864.0177%1.1145%
GPU722662.832165.1515%300006000000.01401.9882%2.846165.8444%0.6928%
Difference+1+2.8661+0.5201%+2470000+6554648700+82.3067+12.5818%+85.1728+4.8289%+4.8289%

Known prime factors (3 factors, 192.0 bits, 0.00368236% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5214613530639018891135.6275088
25 × 3 × 53
-32539.667e-107.589e-61.491e-5
52146131728180411926616216412167.22816570552905140
22 × 5 × 13 × 37 × 1722510697
2022-01-133717225106975.797521.48940.136
52146136945447600183556869030986172789.16666596002428018693516
22 × 3 × 167 × 1709 × 2551 × 26053 × 292577
2022-01-282605329257735,470,3340.00930.0121

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
5214613917039958249655683753366317984931102.855
52146133685525500313307600893122726257958751338124.793
521461312002986494699947361919844738483474177896437049748156.394
521461363692529772975002530637901588499993642376146800794
54168833
58192.021
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-28T06:25:43happy5214Manual testing250000025000002789.1660.5721.6471.1454.119%
2022-01-30T00:04:23happy5214Manual testing25000006555248700-
skipped known factor: 53063901889
skipped known factor: 172818041192661621641
skipped known factor: 694544760018355686903098617
--82.32--14.570%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-01-28T06:25:43happy5214Manual testing1250000125000027P-12789.1660.435
2022-01-30T00:04:23happy5214Manual testing12500004500000065--0.970
2022-01-30T01:03:27happy5214Manual testing12500004625000027--0.985


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2022-01-13T11:37:51TJAOIManual testing267268*67.228210.0991.6720.201


ECM factoring results:
No ECM results for M5214613


Lucas-Lehmer results:
No L-L results for M5214613


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-24T06:45:25Oliver KruseGTX-1
53063901889
2704179B23D6D6__no
2018-01-22T15:28:09kkmrkkblmbrbkc4.xlarge
53063901889
2704179B23D6D6__no
2022-01-19T17:39:52Team_InspectorPurple
53063901889
172818041192661621641
2704179B23D6D6EBno
2022-01-28T12:31:56happy5214Manual testing
53063901889
172818041192661621641
694544760018355686903098617
2704179B23D6D6EBno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 6555248700 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1250000 (P-1 stage 1)
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107
100
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1010
TF factor-bounds graph:
268
267
230
240
250
260
270
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2100
Last modified: 2022-01-30T01:03:27+00:00