is 2 260543 - 1
has 78432 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267114.046173.1343%1000000000100862425563905,454.258427.2467%5,568.304680.4543%
Target2440.000059.0909%50001200000.000110.5553%0.000163.4090%
Difference+23+114.0461+14.0434%+999995000+10086242436390+5,454.2583+16.6914%+5,568.3044+17.0454%

Known prime factors (9 factors, 562.3 bits, 0.21581578% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
260543450739391928.748865
5 × 173
-51731.630e-101.402e-71.777e-7
2605434352303073831238.663835237
13 × 47 × 1367
2008-07-214713672.512e-71.178e-61.375e-6
2605433493209934513431548.312670371097
112 × 5540257
2014-04-0212155402570.00030.00300.0056
260543382732483721081991755.08773449005293
2081 × 35295053
2014-08-222081352950530.02010.01910.0356
2605436026263631413851111859.0641156481584885
5 × 11 × 16691 × 1259777
2014-08-221669112597770.40350.00080.0013
26054318487620785865000731960.6813547902032652
22 × 3 × 295658502721
2015-01-2342956585027211.1269159.61298.10
26054346214322754206387120985432581.9358868847513501876297
71 × 293 × 426325410445699
2017-05-192934263254104456992,041,185230,145429,846
2605432003934369828796640024319612787.373384568836972936643860
22 × 3 × 5 × 7 × 1091 × 5657 × 148358990359
2021-05-115657148358990359164,043,46280.089149.58
260543683398163784712798983856538704131102.43113114882452890939288022640
24 × 5 × 163936030661136741100283
2021-10-29161639360306611367411002837.284e+118.850e+131.653e+14

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-10Seth_TrManual testing200000002820000000-
skipped known factor: 450739391
skipped known factor: 435230307383
skipped known factor: 349320993451343
skipped known factor: 38273248372108199
skipped known factor: 602626363141385111
--1.710--12.254%
2021-03-18Seth_TrManual testing20000000036200000000-
skipped known factor: 450739391
skipped known factor: 435230307383
skipped known factor: 349320993451343
skipped known factor: 38273248372108199
skipped known factor: 602626363141385111
--21.42--17.469%
2021-05-11Seth_TrManual testing10000000002310000000002787.373134.10.004268.121.290%
2021-12-01Seth_TrManual testing100000000010086242556390-
skipped known factor: 450739391
skipped known factor: 435230307383
skipped known factor: 349320993451343
skipped known factor: 38273248372108199
skipped known factor: 602626363141385111
skipped known factor: 1848762078586500073
skipped known factor: 200393436982879664002431961
--5,454--27.247%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21J FeitsmaManual testing??38.663121.10643e-70.0042.28765e-7
2014-04-02TJAOIManual testing??48.312150.0000.0040.000
2022-09-29LordJuliusManual testing2125948.312150.0000.0040.001
2022-09-29LordJuliusManual testing2125955.087170.0200.0040.042
2022-09-29LordJuliusManual testing2125938.663122.51191e-70.0045.19361e-7
2022-09-29LordJuliusManual testing2125928.74891.62952e-100.0043.36943e-10
2022-09-29LordJuliusManual testing25926059.064180.1090.0040.224
2022-09-29LordJuliusManual testing26026160.681190.5370.0041.109
2022-09-29LordJuliusManual testing261262--1.179--
2022-09-29LordJuliusManual testing262263--3.768--
2022-09-29LordJuliusManual testing263264--7.535--
2022-09-29LordJuliusManual testing264265--14.34--
2022-09-29LordJuliusManual testing265266--28.68--
2022-09-29LordJuliusManual testing266267--57.36--


ECM factoring results:
Total ECM effort:1,048.945 GHz-days
Estimated T-Level:37.416
DigitsB1CompleteFacMiss
2011000475.2320.000%
2550000127.5690.000%
3025000024.1670.000%
3510000003.7242.413%
4030000000.48361.679%
45110000000.05394.815%
50440000000.00599.488%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002471.801
500005000000340.248
250000250000001926.999
2500002500000070.255
100000013500000050081.40
1000000162000000111.935
100000016200000071.231
30000004920000001,800955.1


Lucas-Lehmer results:
No L-L results for M260543


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseOllaptop689EC8698E27B3__?
2017-09-22Oliver KruseManual testing689EC8698E27B3__?
2017-10-12Oliver KruseGTX-0689EC8698E27B3__no
2017-11-06kkmrkkblmbrbkc4.xlarge
450739391
435230307383
349320993451343
38273248372108199
602626363141385111
1848762078586500073
4621432275420638712098543
689EC8698E27B3__no
2020-04-17Oliver KruseAddPrpType5
450739391
435230307383
349320993451343
38273248372108199
602626363141385111
1848762078586500073
4621432275420638712098543
775B3057136CA4__no
2021-05-11mikrNitron
450739391
435230307383
349320993451343
38273248372108199
602626363141385111
1848762078586500073
4621432275420638712098543
200393436982879664002431961
775B3057136CA479no
2021-05-12kutenssol
450739391
435230307383
349320993451343
38273248372108199
602626363141385111
1848762078586500073
4621432275420638712098543
200393436982879664002431961
775B3057136CA479no
2021-10-29zr_zirconRyzen_5_3550H
450739391
435230307383
349320993451343
38273248372108199
602626363141385111
1848762078586500073
4621432275420638712098543
200393436982879664002431961
6833981637847127989838565387041
775B3057136CA479no
2021-10-29JackBlockWin10
450739391
435230307383
349320993451343
38273248372108199
602626363141385111
1848762078586500073
4621432275420638712098543
200393436982879664002431961
6833981637847127989838565387041
775B3057136CA479no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 10086242556390 (P-1 stage 2)
B1 = 1000000000, B2 = 231000000000 (P-1 stage 2)
B1 = 200000000, B2 = 36200000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 200000000 (P-1 stage 1)
B1 = 20000000, B2 = 2820000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
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102
103
104
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108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=37.42 ~= 108-bit
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2110
Last modified: 2023-03-23T17:39:31+00:00