is 2 61051 - 1
has 18379 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD268F11779035324double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267486.706576.1194 %1000000000923489999932508,654.984028.6222 %9,141.690582.9546 %
Target2440.000063.6364 %500500000.00002.1597 %0.000064.4217 %
Difference+23+486.7064+12.4830 %+999999500+92348999943250+8,654.9840+26.4625%+9,141.6904+18.5328 %

Known prime factors (1 factor, 118.7 bits, 0.19444610% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6105154407491111177236199981093794673271936118.7114455904990186666573846545821909
67 × 47087 × 2460498619 × 574033148534059
2018-01-2724604986195740331485340592.970e+1253,793100,462

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00122.146%
2001-08-18Alex Kruppav4_computers1000000100000000--0.01130.292%
2002-04-28ANONYMOUSv4_computers163841638400--0.00015.456%
2002-06-09ANONYMOUSv4_computers327683276800--0.00018.040%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00120.600%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00123.129%
2003-02-24ANONYMOUSv4_computers10000000100000000048--0.11037.843%
2003-03-27ANONYMOUSv4_computers2621442621440030--0.00325.618%
2003-05-04ANONYMOUSv4_computers104857610485760048--0.01230.454%
2003-06-01ANONYMOUSv4_computers209715220971520012--0.02332.792%
2003-06-23ANONYMOUSv4_computers20000000429000000048--0.43542.100%
2003-07-30ANONYMOUSv4_computers419430441943040012--0.04635.071%
2003-10-31ANONYMOUSv4_computers838860883886080012--0.09237.291%
2003-11-16ANONYMOUSv4_computers16777216167772160012--0.18439.448%
2004-02-14ANONYMOUSv4_computers100000000429000000012--0.56542.222%
2022-11-03George WoltmanSkylakeX10000000001000000000--2.69935.238%
2022-11-15George WoltmanSkylakeX100000000092348999993250--13,58067.310%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-25ATHcolab-Pp210000000100000000027--0.117


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-15ANONYMOUSv4_computers2522530.010
2000-04-05ANONYMOUSv4_computers212540.039
2000-11-15ANONYMOUSv4_computers212560.157
2002-10-19ANONYMOUSv4_computers212570.314
2003-03-16ANONYMOUSv4_computers212580.629
2016-02-23LaurVManual testing2582590.629
2009-01-12Sturle Sundedoak.ifi2592601.258
2011-06-24Richard B. WoodsPuttputt2602627.547
2016-05-20Sid & AndyBullseye26226316.08


ECM factoring results:
Total ECM effort:64.972 GHz-days
Estimated T-Level:35.900
DigitsB1CompleteFacMiss
2011000327.4060.000%
255000069.6890.000%
3025000011.6070.001%
3510000001.58120.577%
4030000000.18083.529%
45110000000.01898.239%
50440000000.00299.845%


ECM Summary

B1B2factorcurvesGHz-days
250000250000002341.318
10000001000000001,34633.29
300000030000000040830.29
300000030000000010.074


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testingD268F117790353247.24133e-5


PRP results:
dateuseridcompidcofactorsres64
2018-01-29AdolfNorManual testing
544074911111772361999810937946732719
13B5D4302F36D0C7
2018-01-29Oliver KruseGTX-3
544074911111772361999810937946732719
13B5D4302F36D0C7


CERT results:
No CERT results for M61051


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 92348999993250 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 4290000000 (P-1 stage 2)
B1 = 20000000, B2 = 4290000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 10000000, B2 = 1000000000 (P-1 stage 2)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
103
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107
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109
1010
103
104
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1010
1011
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TF factor-bounds graph:
263
262
260
259
258
257
256
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=35.9 ~= 103-bit
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Last modified: 2024-03-13T02:15:48+00:00