is 2 7552021 - 1
has 2273385 decimal digits
takes 1.647 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDBDDE6CF13A3C8ECdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272126.632868.0556 %310000010146566430175.715511.3025 %302.348371.6661 %
Target2673.934665.6716 %5000055000000.10972.4401 %4.044366.5093 %
Difference+5+122.6982+2.3839 %+3050000+10141066430+175.6058+8.8624%+298.3040+5.1568 %

Known prime factors (1 factor, 97.2 bits, 0.00128736% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
75520211847900441053005766016150030173097.22212234476314704406714548
22 × 3 × 1416617 × 1566673 × 459381319
2023-03-1615666734593813195.012e+98.381814.780

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-02-10ANONYMOUSv4_computers3500035000--0.0110.609%
2012-07-04James Heinrichi7-9209000017100006--0.0563.041%
2020-01-21USAFSS6917th_Scty_Sq4450001379500012--0.3715.833%
2023-03-16DRobinsonPE5700G31000001014656643023097.222210.415.826%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-29ANONYMOUSv4_computers212610.020
1998-08-09Mike Curtisv4_computers212630.130
2013-10-18NesowaManual testing2632640.260
2013-12-01David CampeauManual testing2642650.495
2015-06-09VictordeHollanderManual testing2652660.990
2016-09-27Gordon SpenceManual testing2662671.979
2018-07-31ramgeisManual testing2672683.958
2020-01-19mnd9Manual testing2682697.916
2021-03-15ANONYMOUSManual testing26927147.50
2022-10-28linamentManual testing27127263.33


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-27ANONYMOUSv4_computersDBDDE6CF13A3C8EC1.647
2002-03-24ANONYMOUSv4_computersDBDDE6CF13A3C8EC1.647


PRP results:
dateuseridcompidcofactorsres64
2023-03-21rucio
184790044105300576601615003017
882D9DCC0FE5213A


CERT results:
dateuseridcompid
2023-03-21James HeinrichXXL


P-1 factor-bounds graph:
B1 = 3100000, B2 = 10146566430 (P-1 stage 2)
B1 = 3100000 (P-1 stage 1)
B1 = 445000, B2 = 13795000 (P-1 stage 2)
B1 = 445000 (P-1 stage 1)
B1 = 90000, B2 = 1710000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
272
271
269
268
267
266
265
264
263
261
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00