is 2 3698647 - 1
has 1113404 decimal digits
takes 0.388 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L00635889EEBE89DBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27064.604968.5714 %2359297477828351039.986111.0864 %104.590972.0557 %
Target2640.962365.6250 %2200022500000.02182.1055 %0.984266.3488 %
Difference+6+63.6425+2.9464 %+2337297+4776033510+39.9642+8.9809%+103.6068+5.7070 %

Known prime factors:
No known factors for M3698647

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-14Carsten Kossendeymother20000260000--0.0051.767%
2012-04-02Squeeky_SquirrelP4_260011500023287506--0.0364.292%
2017-01-19JossManual testing138000138000---1.805%
2017-01-29JossManual testing165600165600---1.967%
2017-02-04JossManual testing198720198720---2.136%
2017-02-09Squeeky_SquirrelP4_2600235000693250012--0.0915.867%
2017-02-25JossManual testing23846423846406---4.717%
2020-12-07axnManual testing3000000060000000012--9.29815.270%
2023-08-28JossJoss10000001257446190--12.5613.841%
2023-12-27JossJoss23592974778283510--47.4816.726%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-31Amperiov4_computers212600.021
2009-03-07S485122USB-Z2602610.042
2011-05-13Grant McCrackenthumper2612620.083
2012-06-05GrunwalderGIMPManual testing212630.431
2016-02-23Mark RoseManual testing2622630.265
2015-01-25VictordeHollanderManual testing2632651.541
2015-10-21ramgeisManual testing2652662.020
2017-01-05Gordon SpenceManual testing2662674.041
2018-06-18TJAOIManual testing2672688.082
2020-11-03axnManual testing26827048.49


ECM factoring results:
Total ECM effort:13.109 GHz-days
Estimated T-Level:21.135
DigitsB1CompleteFacMiss
20110002.4388.736%
25500000.22779.684%
302500000.01498.572%


ECM Summary

B1B2factorcurvesGHz-days
500005000000476.857
50000600880171.140
500003891478575.112


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-21Amperiov4_computers00635889EEBE89DB0.388
1998-11-21Amperiov4_computers00635889EEBE89DB0.388
1999-07-26ANONYMOUSv4_computers00635889EEBE89DB0.388


PRP results:
No PRP results for M3698647


CERT results:
No CERT results for M3698647


P-1 factor-bounds graph:
B1 = 2359297, B2 = 4778283510 (P-1 stage 2)
B1 = 1000000, B2 = 1257446190 (P-1 stage 2)
B1 = 30000000, B2 = 600000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 2359297 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 235000, B2 = 6932500 (P-1 stage 2)
B1 = 238464, B2 = 2384640 (P-1 stage 2)
B1 = 238464 (P-1 stage 1)
B1 = 115000, B2 = 2328750 (P-1 stage 2)
B1 = 235000 (P-1 stage 1)
B1 = 198720 (P-1 stage 1)
B1 = 165600 (P-1 stage 1)
B1 = 138000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
270
268
267
266
265
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.14 ~= 54-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00