is 2 417553 - 1
has 125696 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L15504DE024FF2FACdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26771.162071.6418 %30000001000000000.11657.1463 %71.278573.6684 %
Target2440.000056.8182 %700011000000.000913.1381 %0.000962.4914 %
Difference+23+71.1620+14.8236 %+2993000+98900000+0.1155-5.9918 %+71.2775+11.1769 %

Known prime factors (1 factor, 75.2 bits, 0.01801550% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
417553441325793236321780591932375.22452846679731234332
22 × 3 × 127 × 197 × 4967 × 35438257
2010-10-2449673543825718,3260.02720.0507

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-06-15ANONYMOUSv4_computers32768327680012--0.00321.753%
2002-08-24ANONYMOUSv4_computers65536655360012--0.00624.391%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.01226.980%
2006-02-01Jossv4_computers417553417553--0.00616.579%
2010-07-15Rob_Deetwopc5000001000000--0.00719.629%
2010-07-16Rob_Deetwopc100000020000006--0.01521.805%
2010-07-21Rob_Deetwopc100000030000006--0.01623.243%
2010-07-22Rob_Deetwopc100000040000006--0.01624.240%
2010-07-23Rob_Deetwopc100000050000006--0.01725.000%
2010-07-24Rob_Deetwopc100000060000006--0.01825.612%
2010-07-25Rob_Deetwopc100000070000006--0.01926.124%
2010-07-26Rob_Deetwopc100000080000006--0.01926.564%
2010-07-27Rob_Deetwopc100000090000006--0.02026.949%
2010-09-26Rob_Deetwopc1000000100000006--0.02127.290%
2010-09-27Rob_Deetwopc1000000110000006--0.02227.597%
2010-09-28Rob_Deetwopc1000000120000006--0.02227.876%
2010-09-29Rob_Deetwopc1000000130000006--0.02328.131%
2010-09-30Rob_Deetwopc1000000140000006--0.02428.366%
2010-10-01Rob_Deetwopc1000000150000006--0.02528.583%
2010-10-02Rob_Deetwopc1000000160000006--0.02628.786%
2010-10-03Rob_Deetwopc1000000170000006--0.02628.976%
2010-10-04Rob_Deetwopc1000000180000006--0.02729.154%
2010-10-05Rob_Deetwopc1000000190000006--0.02829.322%
2010-10-06Rob_Deetwopc1000000200000006--0.02929.481%
2010-10-07Rob_Deetwopc1000000210000006--0.02929.632%
2010-10-08Rob_Deetwopc1000000220000006--0.03029.775%
2010-10-09Rob_Deetwopc1000000230000006--0.03129.912%
2010-10-10Rob_Deetwopc1000000240000006--0.03230.042%
2010-10-11Rob_Deetwopc1000000250000006--0.03230.167%
2010-10-12Rob_Deetwopc1000000260000004--0.03330.286%
2010-10-13Rob_Deetwopc1000000270000004--0.03430.401%
2010-10-14Rob_Deetwopc1000000280000004--0.03530.511%
2010-10-15Rob_Deetwopc1000000290000004--0.03630.618%
2010-10-17Rob_Deetwopc1000000300000004--0.03630.720%
2010-10-18Rob_Deetwopc1000000310000004--0.03730.819%
2010-10-19Rob_Deetwopc1000000320000004--0.03830.914%
2010-10-21Rob_Deetwopc1000000330000004--0.03931.007%
2010-10-22Rob_Deetwopc1000000340000004--0.03931.096%
2010-10-23Rob_Deetwopc1000000350000004--0.04031.183%
2010-10-24Rob_Deetwopc2375.2240.0410.000%
2016-03-16alpertronManual testing300000010000000012
skipped known factor: 44132579323632178059193
---34.653%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.023
2002-01-15ANONYMOUSv4_computers212570.046
2003-12-31ANONYMOUSv4_computers212580.092


ECM factoring results:
Total ECM effort:10.398 GHz-days
Estimated T-Level:26.435
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.797
250000250000001447.601


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-10ANONYMOUSv4_computers15504DE024FF2FAC0.004


PRP results:
dateuseridcompidcofactorsres64
2017-09-23Oliver KruseDoppelherz
44132579323632178059193
B0A29AC2A728A0DA
2017-09-24Oliver KruseManual testing
44132579323632178059193
B0A29AC2A728A0DA
2017-11-07kkmrkkblmbrbkc4.xlarge
44132579323632178059193
B0A29AC2A728A0DA
2020-04-18Oliver KruseAddPrpType5
44132579323632178059193
733239094C0238E5


CERT results:
No CERT results for M417553


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000, B2 = 35000000 (P-1 stage 2)
B1 = 1000000, B2 = 34000000 (P-1 stage 2)
B1 = 1000000, B2 = 33000000 (P-1 stage 2)
B1 = 1000000, B2 = 32000000 (P-1 stage 2)
B1 = 1000000, B2 = 31000000 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000, B2 = 29000000 (P-1 stage 2)
B1 = 1000000, B2 = 28000000 (P-1 stage 2)
B1 = 1000000, B2 = 27000000 (P-1 stage 2)
B1 = 1000000, B2 = 26000000 (P-1 stage 2)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 1000000, B2 = 24000000 (P-1 stage 2)
B1 = 1000000, B2 = 23000000 (P-1 stage 2)
B1 = 1000000, B2 = 22000000 (P-1 stage 2)
B1 = 1000000, B2 = 21000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000, B2 = 19000000 (P-1 stage 2)
B1 = 1000000, B2 = 18000000 (P-1 stage 2)
B1 = 1000000, B2 = 17000000 (P-1 stage 2)
B1 = 1000000, B2 = 16000000 (P-1 stage 2)
B1 = 1000000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 14000000 (P-1 stage 2)
B1 = 1000000, B2 = 13000000 (P-1 stage 2)
B1 = 1000000, B2 = 12000000 (P-1 stage 2)
B1 = 1000000, B2 = 11000000 (P-1 stage 2)
B1 = 1000000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000, B2 = 9000000 (P-1 stage 2)
B1 = 1000000, B2 = 8000000 (P-1 stage 2)
B1 = 1000000, B2 = 7000000 (P-1 stage 2)
B1 = 1000000, B2 = 6000000 (P-1 stage 2)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000, B2 = 4000000 (P-1 stage 2)
B1 = 1000000, B2 = 3000000 (P-1 stage 2)
B1 = 1000000, B2 = 2000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000, B2 = 1000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 417553 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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102
103
104
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107
108
TF factor-bounds graph:
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
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Last modified: 2024-02-09T03:30:02+00:00