is 2 3016201 - 1
has 907967 decimal digits
takes 0.257 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9566F75BCD48058Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.761667.6471 %32717684186490798816.357013.4728 %36.118572.0059 %
Target2641.180165.6250 %1300011000000.00891.4278 %1.189066.1158 %
Difference+4+18.5815+2.0221 %+32704684+1863807988+16.3481+12.0450%+34.9296+5.8901 %

Known prime factors (1 factor, 87.4 bits, 0.00289917% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30162012106086755123594312980814632787.44534912904596271838531
32 × 10885373 × 356369195783
2020-11-221088537335636919578310,391,5302,397.44,475.3

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-23Team Prime Ribv4_computers1000010000--0.0010.314%
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.570%
2010-10-16markrtiny11500023575006--0.0294.184%
2015-07-31Squeeky_SquirrelP4_260015000036750006--0.0424.768%
2016-08-12treborLaptop20000002000000--0.2474.823%
2016-08-18treborLaptop22500002250000--0.2784.994%
2016-08-21treborLaptop25000002500000--0.3095.150%
2016-08-23treborLaptop27500002750000--0.3395.293%
2016-08-25treborLaptop30000003000000--0.3705.424%
2019-07-08oodairacom532717684186490798812--16.3617.136%
2021-01-14JossManual testing301620301620---2.476%
2021-01-14JossManual testing30162030162016---4.958%
2022-01-06JossManual testing1254050116447100--1.14710.566%
2022-09-03JossManual testing1254050223284600--2.03311.477%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-09ANONYMOUSv4_computers212600.025
2009-01-29Jayson Kingatlas2602610.051
2010-09-16Sid & AndyBuzz2612620.102
2013-01-07dbaughManual testing2622630.325
2015-02-07VictordeHollanderManual testing2632640.651
2015-02-07VictordeHollanderManual testing2642651.239
2015-06-01ThaManual testing2652662.478
2017-02-09Smok_bmvManual testing2662674.955
2018-07-16ramgeisManual testing2672689.91


ECM factoring results:
Total ECM effort:3.730 GHz-days
Estimated T-Level:20.587
DigitsB1CompleteFacMiss
20110001.26928.105%
25500000.11788.920%
302500000.00799.262%


ECM Summary

B1B2factorcurvesGHz-days
500005000000293.265
50000500000040.465


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-07ANONYMOUSv4_computers9566F75BCD48058C0.257


PRP results:
dateuseridcompidcofactorsres64
2020-11-23mrhx
210608675512359431298081463
A07863DB2A3B13DB


CERT results:
dateuseridcompid
2020-11-23Simon Josefssoncto11


P-1 factor-bounds graph:
B1 = 32717684, B2 = 1864907988 (P-1 stage 2)
B1 = 32717684 (P-1 stage 1)
B1 = 1254050, B2 = 223284600 (P-1 stage 2)
B1 = 1254050, B2 = 116447100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2750000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 2250000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 1254050 (P-1 stage 1)
B1 = 301620, B2 = 3016201 (P-1 stage 2)
B1 = 150000, B2 = 3675000 (P-1 stage 2)
B1 = 301620 (P-1 stage 1)
B1 = 115000, B2 = 2357500 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.59 ~= 52-bit
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260
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Last modified: 2024-02-29T14:28:04+00:00