is 2 172759 - 1
has 52006 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5397B7492F673597double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267171.996473.1343 %10000000020000000001.360712.2009 %173.357176.4122 %
Target2440.000059.0909 %32003250000.00018.0939 %0.000262.4021 %
Difference+23+171.9963+14.0434 %+99996800+1999675000+1.3606+4.1070%+173.3569+14.0101 %

Known prime factors (1 factor, 99.1 bits, 0.05735411% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1727596720026769221571792832407716093099.0841944913656950309909420756
22 × 29 × 58943 × 4561069 × 62365363523
2016-10-054561069623653635237.431e+1122.74742.431

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00424.178%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00120.004%
2002-07-27ANONYMOUSv4_computers65536655360012--0.00322.610%
2003-02-09ANONYMOUSv4_computers1310721310720030--0.00625.173%
2003-10-08ANONYMOUSv4_computers2621442621440012--0.01127.688%
2009-01-21axnManual testing500000020000000012--0.10535.066%
2013-08-30alpertronManual testing100000000200000000012--1.36141.780%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-10ANONYMOUSv4_computers2522530.003
2000-04-27ANONYMOUSv4_computers212540.014
2022-03-07LordJuliusManual testing254255
2001-01-21ANONYMOUSv4_computers212560.056
2002-06-02ANONYMOUSv4_computers212570.111
2016-02-23Mark RoseManual testing2572580.111
2009-01-01Sturle Sundehoffman.ifi2582590.222
2009-01-22Sturle Sundegonsha.ifi2592600.445
2013-08-19lycornasteroid2602610.889
2015-08-13NRManual testing2612621.778
2016-01-21Gordon SpenceManual testing2622635.682
2016-01-21Gordon SpenceManual testing26326411.36


ECM factoring results:
Total ECM effort:37.079 GHz-days
Estimated T-Level:31.353
DigitsB1CompleteFacMiss
2011000113.6620.000%
255000019.1660.000%
302500002.5068.161%
3510000000.27176.290%
4030000000.02597.552%
45110000000.00299.805%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002781.330
2500002500000059013.21
100000010000000029422.40
100000010000000020.139


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01MadPooManual testing5397B7492F6735970.001


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
672002676922157179283240771609
20309C47AE7A1A3A
2017-09-22Oliver KruseManual testing
672002676922157179283240771609
20309C47AE7A1A3A
2017-10-12kkmrkkblmbrbkc4.xlarge
672002676922157179283240771609
20309C47AE7A1A3A
2020-04-17Oliver KruseAddPrpType5
672002676922157179283240771609
88C0641B50EE1C03
2024-02-03Wentao HuangManual testing
672002676922157179283240771609
88C0641B50EE1C03


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto5700X


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
264
263
262
261
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=31.35 ~= 88-bit
250
260
270
280
290
2100
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Last modified: 2024-03-03T02:29:32+00:00