is 2 1792201 - 1
has 539507 decimal digits
takes 0.097 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
Actual26716.579668.6567%500000150000000.10155.0558%16.681070.2414%1.5847%
PrimeNet2570.010763.1579%80001400000.00122.8151%0.011964.1951%1.0372%
GPU722610.171465.5738%80001300000.00121.4938%0.172666.0880%0.5142%
Difference+6+16.4082+3.0829%+492000+14870000+0.1003+3.5621%+16.5085+4.1534%+4.1534%

Known prime factors (4 factors, 206.4 bits, 0.01151917% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1792201415790633928.631116
22 × 29
-4292.045e-114.218e-76.404e-7
17922016266565426639131549.155174828756
22 × 3 × 41 × 355343
2014-04-24413553437.206e-50.00150.0028
17922011246012756105248471856.79034762081823
7 × 367 × 13531367
2015-04-30367135313670.00610.05800.1083
179220143175852986265140577272271.8711204548289680263
11 × 21187 × 5168470759
2018-12-17211875168470759275.0122.15241.371

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
17922012605579205478198925269292477.786
1792201518080432587075875963581512685.421
1792201179521152434741231064570787119131100.502
17922017808220458560484612050945674631132105.945
1792201270564307589382965729661502764170575137121.025
179220153797663576611250425160960716212584276939128.661
17922013246584927068414165631422130303477110486341134.576
1792201112498104719796247400153263110045733140803038346149.657
179220122368564592440235809199194983082163779058098277748157.292
179220133712657860315526487866102539339510311828569944829
5097
54177.815
179220114017407351853018338118113594074882394465228484845
4369152426401
63206.447
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:34:45alpertronManual testing5000001500000012-
skipped known factor: 415790633
skipped known factor: 626656542663913
skipped known factor: 124601275610524847
--0.101--5.056%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-04-24T10:23:00TJAOIManual testing??49.155153.02156e-50.2086.46831e-5
2015-04-30T11:37:00TJAOIManual testing256257*56.790180.0010.1980.001


ECM factoring results:

Old Calculation Method

Total ECM effort:17.778 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:17.778 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.3230.024%
25500000.75247.133%
302500000.04695.474%
3510000000.00299.788%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025517.57
50000500000030.207


Lucas-Lehmer results:
No L-L results for M1792201


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T16:44:22Oliver KruseGTX-3
415790633
626656542663913
124601275610524847
234F704182D3ECAEno
2017-10-05T21:44:08Oliver KruseManual testing
415790633
626656542663913
124601275610524847
234F704182D3EC__no
2017-11-11T02:22:51kkmrkkblmbrbkc4.xlarge
415790633
626656542663913
124601275610524847
234F704182D3EC__no
2018-12-18T04:28:35Oliver KruseGTX-5
415790633
626656542663913
124601275610524847
4317585298626514057727
DE5AB3402DDCADF4no
2018-12-18T23:06:11kkmrkkblmbrbkc5.large
415790633
626656542663913
124601275610524847
4317585298626514057727
DE5AB3402DDCADF4no


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
257
2
220
230
240
250
260
270
280
290
2100
Last modified: 2020-12-04T09:24:51+00:00