is 2 1934521 - 1
has 582349 decimal digits
takes 0.105 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
Actual26715.359868.6567%500000150000000.10155.1026%15.461370.2560%1.5993%
PrimeNet2580.019863.7931%80001400000.00122.4630%0.021064.6849%0.8918%
GPU722620.317666.1290%8000900000.00101.1511%0.318666.5189%0.3899%
Difference+5+15.0423+2.5277%+492000+14910000+0.1005+3.9515%+15.1427+3.7371%+3.7371%

Known prime factors (3 factors, 135.3 bits, 0.00699379% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
193452158035631825.79015
3 × 5
-352.318e-122.446e-74.803e-7
19345212913968982311238.08475315
3 × 5 × 5021
2008-07-15550212.464e-82.189e-54.019e-5
193452131629380827605205451272271.422817499030189003
585989 × 1395075727
2019-04-145859891395075727309.366.022511.167

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1934521169114028602788687612063.875
19345211835631074469370317249094201373097.212
193452192167034661312166083295706197033733109.506
19345215348972013968122846620864868735461107764741135.296
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:40:59alpertronManual testing5000001500000012-
skipped known factor: 58035631
skipped known factor: 291396898231
--0.101--5.103%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:48:00J FeitsmaManual testing??38.084125.71561e-90.2331.26825e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:20.393 GHz-days
Estimated T-Level:24.464
DigitsB1CurvesCompleteFacMiss
2011000250 / 1002.5008.106%
2550000250 / 2800.89340.883%

New Calculation Method

Total ECM effort:20.393 GHz-days
Estimated T-Level:24.464
DigitsB1CompleteFacMiss
201100010.3140.003%
25500000.97537.727%
302500000.06293.974%
3510000000.00399.708%


ECM Summary

B1B2factorcurvesGHz-days
500005000000312.155
50000500000010.070
50000675000070.555
50000750000021117.61


Lucas-Lehmer results:
No L-L results for M1934521


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T01:59:33Oliver KruseGTX-1
58035631
291396898231
1A80466B54C900__no
2017-11-11T03:40:41kkmrkkblmbrbkold
58035631
291396898231
1A80466B54C900__no
2019-04-16T21:42:56Chang Chia-Tcheexbbbe-lt
58035631
291396898231
3162938082760520545127
3E04041E8F575B6Eno
2019-04-18T22:21:30oodairacom1
58035631
291396898231
3162938082760520545127
3E04041E8F575B6Eno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
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: 2022-03-17T11:24:01+00:00