is 2 178601 - 1
has 53765 decimal digits
takes 0.001 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
Actual267166.370473.1343%10000000020000000001.360712.2303%167.731176.4201%3.2858%
PrimeNet2400.000055.0000%1900450000.000011.9292%0.000060.3681%5.3681%
GPU722440.000059.0909%3200700000.00008.2787%0.000162.4777%3.3867%
Difference+23+166.3704+14.0434%+99996800+1999930000+1.3607+3.9516%+167.7311+13.9424%+13.9424%

Known prime factors (4 factors, 285.9 bits, 0.16005086% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
178601634770243404811445.851177706240
28 × 5 × 19 × 7307
-25673074.079e-54.280e-64.969e-6
1786011525811989772411547.117427156620
22 × 3 × 5 × 112 × 17 × 3461
2008-08-2612134610.00012.026e-62.354e-6
1786016518723389422519888810442812789.0751824940338918180718140
22 × 32 × 5 × 73 × 149 × 932109721286599
2019-11-23149932109721286599711,082,099339,547634,179
1786011777775089713157881527940690595932103.81049769460689278276200243579
3 × 19 × 873148433145232915793747
2017-06-16198731484331452329157937478.665e+113.181e+145.941e+14

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
17860196854004813781016197539929212892.968
1786014137891632592360994764668039630658183916141134.926
1786019946346305590723766161769175212923220872141136.191
178601112847872641622916282163956548047292876382627946149.661
178601271255054700305812373051382346316044306827911946150.926
17860163136446653883564315585622844397626294712690379615
34801
55182.043
17860111588824058445880916601456496276942214445473668059
081770479
59192.885
17860117218463709689817138758502853019187568705611809179
2598716239
60196.778
17860173562406683552098988796463281450788090183804083536
3686937082194790460399
72238.736
17860117682366695739685401200994335673423307350385645368
18164167371982306668439
73240.001
17860111224240211427786028966289713557216998472626471302
5820982548596691678947770202312779159
87285.852
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-06-01T05:06:21kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 63477024340481
skipped known factor: 152581198977241
--1.361--12.230%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:12:00ANONYMOUSManual testing??47.117151.49966e-50.0023.10709e-5


ECM factoring results:

Old Calculation Method

Total ECM effort:14.084 GHz-days
Estimated T-Level:29.023
DigitsB1CurvesCompleteFacMiss
2011000796 / 1007.9600.034%
2550000796 / 2802.8435.796%
30250000515 / 6400.80544.695%

New Calculation Method

Total ECM effort:14.084 GHz-days
Estimated T-Level:29.023
DigitsB1CompleteFacMiss
201100058.0640.000%
25500008.3070.025%
302500000.87141.862%
3510000000.07193.108%
4030000000.00599.524%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.368
2500002325000010.024
2500002500000042010.22
2500002500000010.024
25000025000000441.071
25000036000000350.975
25000038500000140.401


Lucas-Lehmer results:
No L-L results for M178601


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T00:37:29Oliver KruseOllaptop0C03D853A31CB5__?
2017-09-22T10:04:49Oliver KruseManual testing0C03D853A31CB5__?
2017-10-12T02:33:52kkmrkkblmbrbkc4.xlarge0C03D853A31CB5__no
2019-11-24T19:59:43Niels_Mache_NextcloudSuperDry-X
63477024340481
152581198977241
651872338942251988881044281
17777750897131578815279406905959
9AED0A912B080F8Ano
2019-11-25T14:03:15marssystemssystem11
63477024340481
152581198977241
651872338942251988881044281
17777750897131578815279406905959
9AED0A912B080F8Ano


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-07-21T19:41:22+00:00