is 2 5214061 - 1
has 1569589 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
Actual2675.698865.6716%2500000655524870082.320714.5699%88.019570.6732%5.0016%
PrimeNet2620.117862.9032%220005000000.01103.0042%0.128864.0177%1.1144%
GPU722662.832465.1515%300006000000.01401.9881%2.846465.8443%0.6928%
Difference+1+2.8664+0.5201%+2470000+6554648700+82.3067+12.5818%+85.1731+4.8289%+4.8289%

Known prime factors (3 factors, 185.7 bits, 0.00356127% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5214061222640404711134.3742135
5 × 7 × 61
-7616.418e-102.277e-63.262e-6
521406141765992626459047011272271.823400513080173583
3 × 13 × 31 × 139 × 701 × 941 × 3613
2022-01-259413613157.270.00020.0004
52140618487903993340902117210972479.49081394367972880468
22 × 3 × 11 × 1049 × 9677 × 60744113
2022-01-3096776074411336,2280.75991.4154

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
52140619298797501469718080830068731081732106.197
52140611889750380217043592372346217251668735113.864
5214061354505735599968417891710999805458531006557631946151.313
521406178927300445993223222628941951046018610422074830155
206249
56185.687
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-25T22:26:35happy5214Manual testing250000025000002271.8230.5721.6471.1454.119%
2022-01-30T00:04:22happy5214Manual testing250000065552487002479.49082.321.647164.614.570%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-01-25T22:26:36happy5214Manual testing1250000125000027P-12271.8230.435
2022-01-30T00:04:23happy5214Manual testing12500004500000065--0.970
2022-01-30T02:34:56happy5214Manual testing12500004625000027--0.985


Trial Factoring results:
No TF results for M5214061


ECM factoring results:
No ECM results for M5214061


Lucas-Lehmer results:
No L-L results for M5214061


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-23T10:09:05kkmrkkblmbrbkc4.xlarge
22264040471
368A958A86C945__no
2018-05-27T12:52:45BattlemaxxWork
22264040471
368A958A86C945__no
2022-01-26T02:58:33happy5214Manual testing
22264040471
4176599262645904701127
368A958A86C945C6no
2022-01-30T01:38:12happy5214Manual testing
22264040471
4176599262645904701127
848790399334090211721097
368A958A86C945C6no


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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106
107
100
101
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104
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1010
TF factor-bounds graph:
267
230
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250
260
270
280
290
2100
Last modified: 2022-01-30T02:34:56+00:00