is 2 5131253 - 1
has 1544662 decimal digits
takes 0.711 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 PRP tests remaining
ResidueStatus
L-LD14305F50AB7A161double-checked
PRPE9EC6060AD10D2__PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27193.169967.6056 %400000010316185110113.725212.0405 %206.895171.5061 %
Target2651.421864.6154 %3600040000000.05062.5407 %1.472565.5144 %
Difference+6+91.7481+2.9902 %+3964000+10312185110+113.6746+9.4998%+205.4227+5.9917 %

Known prime factors (1 factor, 86.7 bits, 0.00169022% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
51312531282795020897791472583526572786.72912499822371824108776
23 × 73 × 132 × 17 × 131 × 967 × 12516599
2022-06-26967125165994,016,6330.13720.2560

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-01-08ANONYMOUSv4_computers25000162500--0.0071.485%
2009-09-13USAFSSP4_26006000010650006--0.0233.022%
2019-04-01USAFSSP4_2600305000960750012--0.1636.059%
2022-06-26Sid & AndyMagic_8_Ball40000001031618511022786.729135.517.765%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212610.060
2008-12-28Sturle Sundefoster.ifi2612620.060
2009-10-07S485122USB-W2622630.191
2014-12-15VictordeHollanderManual testing2632651.111
2015-08-07snme2pm1Manual testing2652661.456
2016-05-23Gordon SpenceManual testing2662672.913
2018-06-20ramgeisManual testing2672685.825
2020-11-09TJAOIManual testing26826911.65
2021-11-03TJAOIManual testing26927023.30
2022-01-15mikrManual testing27027146.60


ECM factoring results:
Total ECM effort:1.291 GHz-days
Estimated T-Level:1.538
DigitsB1CompleteFacMiss
20110000.30873.514%
25500000.02897.193%
302500000.00299.821%


ECM Summary

B1B2factorcurvesGHz-days
50000500000081.291


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14ANONYMOUSv4_computers54383756EEBA03D30.711
1999-07-27ANONYMOUSv4_computers9ACD947FBC6EE88E0.711
2001-01-14ANONYMOUSv4_computersD14305F50AB7A1610.711


PRP results:
dateuseridcompidcofactorsres64
2022-07-02Poaooffice-CN3
128279502089779147258352657
E9EC6060AD10D26E


CERT results:
dateuseridcompid
2022-07-03Cosmos95R720


P-1 factor-bounds graph:
B1 = 4000000, B2 = 10316185110 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 305000, B2 = 9607500 (P-1 stage 2)
B1 = 305000 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 25000, B2 = 162500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
271
270
269
268
267
266
265
263
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=1.54 ~= -11-bit
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Last modified: 2024-03-13T02:15:48+00:00