is 2 2301017 - 1
has 692676 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L584BA1F90E1B1E5Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.913467.1642 %50000005050000003.158210.9708 %16.071670.7665 %
Target2620.267064.5161 %1200010000000.00641.7377 %0.273465.1327 %
Difference+5+12.6464+2.6481 %+4988000+504000000+3.1518+9.2331%+15.7982+5.6338 %

Known prime factors (1 factor, 84.2 bits, 0.00365823% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2301017218587485055225176441356812684.1764749801610662267520
27 × 5 × 2729 × 1432021 × 1899077
2016-02-14143202118990771,702,6680.14280.2855

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-08-25ANONYMOUSv4_computers2048204800--0.0010.789%
2010-02-12Budannan5000001000000012--0.1027.749%
2018-02-15alpertronManual testing5000001500000012---8.312%
2021-04-05ViliamF35000000505000000
skipped known factor: 21858748505522517644135681
---15.460%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-27Dylan Delgadolaptop-ryzen73700200000014600000027--1.023


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.067
2009-01-14Sturle Sundegoose.ifi2602610.067
2012-05-12Sebastian HornbostelManual testing2612620.133
2013-12-06Jerry HallettManual testing2622630.427
2015-02-27VictordeHollanderManual testing2632640.853
2015-02-27VictordeHollanderManual testing2642651.624
2015-10-21ramgeisManual testing2652663.248


ECM factoring results:
Total ECM effort:1.376 GHz-days
Estimated T-Level:3.269
DigitsB1CompleteFacMiss
20110000.65452.004%
25500000.06094.130%
302500000.00499.619%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.199
50000500000020.177


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computers584BA1F90E1B1E5F0.155


PRP results:
dateuseridcompidcofactorsres64
2017-10-11Oliver KruseGTX-1
21858748505522517644135681
65F8C7F3EF920B83
2017-11-22kkmrkkblmbrbkc4.xlarge
21858748505522517644135681
65F8C7F3EF920B83


CERT results:
No CERT results for M2301017


P-1 factor-bounds graph:
B1 = 5000000, B2 = 505000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
266
265
264
263
262
261
260
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=3.27 ~= -6-bit
250
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Last modified: 2024-02-29T14:28:04+00:00