is 2 257321 - 1
has 77462 decimal digits
takes 0.002 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
Actual267115.474173.1343%30000000100358126969105,417.947323.4438%5,533.421479.4327%6.2983%
PrimeNet2400.000055.0000%2600700000.000114.2641%0.000161.4188%6.4188%
GPU722440.000059.0909%45001100000.000110.2055%0.000163.2659%4.1750%
Difference+23+115.4741+14.0434%+29995500+10035812586910+5,417.9472+13.2383%+5,533.4213+16.1668%+2.1233%

Known prime factors (4 factors, 259.7 bits, 0.10091931% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25732143142438871032.0068383
83 × 101
-831014.035e-98.321e-71.674e-6
257321538845613271135.649104703
3 × 17 × 2053
2008-07-211720532.958e-81.268e-62.073e-6
257321315301366089281031754.80861266155131
29 × 59 × 5441 × 6581
2014-09-15544165810.01445.453e-50.0001
25732120340132843904840730950019665473676943440942137.223395228777361832899976100272917361524
22 × 36 × 557 × 428039 × 840943 × 8779753 × 76996971817
2022-04-288779753769969718177.335e+1141.64877.633

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2573212324711393086863580492167.656
2573211360286991213429779902563612786.814
25732116989875797524741818372726812890.457
257321732984678003603671211678009275635104737122.463
25732187752293782584384333209734044299595712652747570778
3
51169.230
25732110960191356267173085190438416360723697630270864500
743
53172.873
25732164132716721206490671216330806958840115633658256670
55296127
58192.031
25732147284938559125890621553779168634212999397432463326
535794708041
62204.879
25732127668418107116778564301758203849195302948288326528
801008606884525649
68224.037
25732134557633072309695080036097710514930185756496297969
2431787655477080529
69227.680
25732114909005723140113096987971028692373317613173862405
19378980057124056740844976223
79259.687
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-09-10T20:29:51Oliver KruseOllaptop30000000300000000024-
skipped known factor: 4314243887
skipped known factor: 53884561327
skipped known factor: 31530136608928103
--1.901--12.595%
2022-04-28T20:30:30Oliver KruseThreadripper-PC300000001003581269691042137.2235,4180.00410,83623.444%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:15:00J FeitsmaManual testing??35.649111.17935e-80.0042.45203e-8


ECM factoring results:
Total ECM effort:14.892 GHz-days
Estimated T-Level:28.014
DigitsB1CompleteFacMiss
201100042.5530.000%
25500005.8660.283%
302500000.60354.732%
3510000000.04995.241%
4030000000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002792.033
50000500000020.015
250000250000002268.235
25000034250000773.151
25000035096686140.579
2500003525000070.290
2500003671419270.295
2500003675000070.295


Lucas-Lehmer results:
No L-L results for M257321


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T07:57:46Oliver KruseOllaptopDFD4B48D08CCD7__?
2017-09-22T10:06:40Oliver KruseManual testingDFD4B48D08CCD7__?
2017-10-12T18:41:31kkmrkkblmbrbkc4.xlargeDFD4B48D08CCD7__no
2020-04-17T20:16:27Oliver KruseAddPrpType5
4314243887
53884561327
31530136608928103
06F5C7DD051BDF__no
2022-04-29T00:00:24JackBlockWin10
4314243887
53884561327
31530136608928103
203401328439048407309500196654736769434409
06F5C7DD051BDF88no
2022-04-29T05:55:12LordJuliusWhiteBox
4314243887
53884561327
31530136608928103
203401328439048407309500196654736769434409
06F5C7DD051BDF88no
2022-04-29T19:31:02Oliver KruseServer-Phi
4314243887
53884561327
31530136608928103
203401328439048407309500196654736769434409
06F5C7DD051BDF88no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10035812696910 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2022-09-04T01:28:20+00:00