is 2 2541697 - 1
has 765128 decimal digits
takes 0.176 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L48A18FCC133B6B5Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26946.971368.1159 %30000001350000001.02507.6203 %47.996370.5456 %
Target2630.627965.0794 %120009000000.00611.4771 %0.634065.5952 %
Difference+6+46.3434+3.0366 %+2988000+134100000+1.0189+6.1432%+47.3623+4.9504 %

Known prime factors (1 factor, 85.3 bits, 0.00335602% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2541697476238954439609114181720232685.3009368523361352850363
32 × 17 × 17659 × 3467477140969
2021-07-301765934674771409693,082,87519,00035,487

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-23ANONYMOUSv4_computers2048204800--0.0010.665%
2003-11-08Team Prime Ribv4_computers15000198750--0.0031.626%
2010-12-19JossManual testing2000020000--0.0020.624%
2011-01-02JossManual testing3000030000--0.0030.825%
2011-01-07JossManual testing5000050000--0.0051.133%
2011-04-08James HeinrichWHS300000800000012--0.0726.528%
2018-08-11JossManual testing60000060000006--0.0906.570%
2018-09-08mikrMSI300000013500000012--1.02512.108%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-26ANONYMOUSv4_computers212590.015
2016-02-23Mark RoseManual testing2592600.030
2009-01-27Sturle Sundeginy.ifi2602610.060
2012-06-15Sebastian HornbostelManual testing2612620.121
2013-01-14dbaughManual testing2622630.386
2015-02-23VictordeHollanderManual testing2632640.772
2015-02-23VictordeHollanderManual testing2642651.470
2015-11-08ramgeisManual testing2652662.940
2017-08-08Gordon SpenceManual testing2662675.880
2019-04-15TJAOIManual testing26726811.76
2021-06-21TJAOIManual testing26826923.52


ECM factoring results:
Total ECM effort:11.586 GHz-days
Estimated T-Level:22.256
DigitsB1CompleteFacMiss
20110004.8780.761%
25500000.45163.688%
302500000.02897.192%
3510000000.00199.867%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011610.53
50000665000070.735
50000675000030.317


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04jbaffordv4_computers48A18FCC133B6B5C0.176
2018-06-10kkmrkkblmbrbkold48A18FCC133B6B5C0.176


PRP results:
dateuseridcompidcofactorsres64
2021-08-01/r/counting
47623895443960911418172023
66B1354EBCA35458


CERT results:
dateuseridcompid
2021-08-01MrApinaJoinsika1


P-1 factor-bounds graph:
B1 = 3000000, B2 = 135000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (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
1010
1011
1012
1013
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=22.26 ~= 57-bit
250
260
270
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290
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Last modified: 2024-02-09T03:30:02+00:00