is 2 5214289 - 1
has 1569658 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
Actual2675.698665.6716%2500000655524870082.320714.5699%88.019370.6733%5.0016%
PrimeNet2620.117862.9032%220005000000.01103.0042%0.128864.0177%1.1145%
GPU722662.832365.1515%300006000000.01401.9881%2.846365.8444%0.6928%
Difference+1+2.8663+0.5201%+2470000+6554648700+82.3067+12.5818%+85.1730+4.8289%+4.8289%

Known prime factors (4 factors, 201.8 bits, 0.00387107% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
521428918667154631030.798179
179
-11792.850e-112.450e-64.182e-6
5214289159765814971133.8951532
22 × 383
2008-09-0843832.922e-105.644e-68.892e-6
52142894138025579207260338312168.48839679672331235
3 × 5 × 171673 × 15409013
2022-01-261716731540901320.2530.22940.3590
52142894689395913429535004332168.66844966781793544
23 × 13 × 19 × 29 × 784705811
2022-01-262978470581114.6679.79018.284

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
5214289298237317263295881112064.693
52142897724516334995724155389888287533099.285
52142898753767863727922353482582954793099.466
5214289661115029028754234491055062500731102.383
5214289749205159826057227634924928820131102.563
52142891234113647509669401151180420354488138324141133.181
52142891398552856806687417149025283472655015206341133.361
521428919404840240801411245480352654413423114882342137.155
521428936223315334548637884160263162686632123312414835004
9
51167.953
521428931002301154342885135602912709553633112566065951280
31
52171.051
521428957872474953394613286662808982762994759055894920332
75932443353
61201.849
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-26T10:58:35happy5214Manual testing2500000655524870042137.15582.321.647164.614.570%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-01-26T10:58:36happy5214Manual testing12500004625000027P-12168.4880.985


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T01:29:00Will EdgingtonManual testing??33.895117.27738e-111.7891.58145e-10


ECM factoring results:
No ECM results for M5214289


Lucas-Lehmer results:
No L-L results for M5214289


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-24T06:38:07Oliver KruseGTX-2
1866715463
15976581497
F7E126B9AD3B4A__no
2018-01-24T11:26:28kkmrkkblmbrbkold
1866715463
15976581497
F7E126B9AD3B4A__no
2022-01-27T01:40:39happy5214Manual testing
1866715463
15976581497
413802557920726033831
468939591342953500433
F7E126B9AD3B4A3Eno


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
230
240
250
260
270
280
290
2100
Last modified: 2022-01-27T01:40:39+00:00