is 2 415253 - 1
has 125004 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-L7DB71891383E17BBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26771.556271.6418 %30000001000000000.11657.1423 %71.672673.6672 %
Target2440.000056.8182 %700011000000.000913.1285 %0.000962.4873 %
Difference+23+71.5562+14.8236 %+2993000+98900000+0.1155-5.9862 %+71.6717+11.1799 %

Known prime factors (1 factor, 77.5 bits, 0.01865751% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4152532101662721526265193284492477.476253058102111997408
25 × 3 × 23 × 401 × 9397 × 30414983
2010-06-2093973041498373,7100.02340.0435

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-06-15ANONYMOUSv4_computers32768327680012--0.00321.741%
2002-08-24ANONYMOUSv4_computers65536655360012--0.00624.380%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.01226.968%
2010-04-23Rob_Deetwopc5000001000000--0.00719.620%
2010-04-23Rob_Deetwopc10000001500000--0.01420.750%
2010-04-24Rob_Deetwopc15000002000000--0.02121.562%
2010-04-25Rob_Deetwopc20000002500000--0.02822.198%
2010-04-26Rob_Deetwopc25000003000000--0.03622.721%
2010-04-27Rob_Deetwopc30000003500000--0.04323.164%
2010-04-28Rob_Deetwopc35000004000000--0.05023.548%
2010-04-29Rob_Deetwopc40000004500000--0.05723.888%
2010-04-30Rob_Deetwopc45000005000000--0.06424.192%
2010-05-01Rob_Deetwopc50000005500000--0.07124.467%
2010-05-02Rob_Deetwopc55000006000000--0.07824.718%
2010-05-03Rob_Deetwopc60000006500000--0.08524.949%
2010-05-04Rob_Deetwopc65000007000000--0.09225.163%
2010-05-05Rob_Deetwopc70000007500000--0.09925.361%
2010-05-06Rob_Deetwopc75000008000000--0.10625.547%
2010-05-07Rob_Deetwopc80000008500000--0.11325.722%
2010-05-08Rob_Deetwopc85000009000000--0.12025.886%
2010-05-09Rob_Deetwopc90000009500000--0.12726.042%
2010-05-10Rob_Deetwopc950000010000000--0.13426.189%
2010-05-11Rob_Deetwopc1000000010500000--0.14126.329%
2010-05-12Rob_Deetwopc1050000011000000--0.14826.463%
2010-05-13Rob_Deetwopc1100000011500000--0.15526.590%
2010-05-14Rob_Deetwopc1150000012000000--0.16226.712%
2010-05-15Rob_Deetwopc1200000012500000--0.16926.829%
2010-05-16Rob_Deetwopc1250000013000000--0.17626.941%
2010-05-17Rob_Deetwopc1300000013500000--0.18327.049%
2010-05-18Rob_Deetwopc1350000014000000--0.19027.153%
2010-05-19Rob_Deetwopc1400000014500000--0.19727.253%
2010-05-20Rob_Deetwopc1450000015000000--0.20427.350%
2010-05-21Rob_Deetwopc1500000015500000--0.21127.444%
2010-05-22Rob_Deetwopc1550000016000000--0.21827.534%
2010-05-23Rob_Deetwopc1600000016500000--0.22527.622%
2010-05-24Rob_Deetwopc1650000017000000--0.23227.707%
2010-05-25Rob_Deetwopc1700000017500000--0.23927.789%
2010-05-26Rob_Deetwopc1750000018000000--0.24627.869%
2010-05-27Rob_Deetwopc1800000018500000--0.25327.947%
2010-05-28Rob_Deetwopc1850000019000000--0.26028.023%
2010-05-29Rob_Deetwopc1900000019500000--0.26728.096%
2010-05-30Rob_Deetwopc1950000020000000--0.27428.168%
2010-05-31Rob_Deetwopc2000000020500000--0.28228.238%
2010-06-01Rob_Deetwopc2050000021000000--0.28928.306%
2010-06-02Rob_Deetwopc2100000021500000--0.29628.373%
2010-06-03Rob_Deetwopc2150000022000000--0.30328.438%
2010-06-04Rob_Deetwopc2200000022500000--0.31028.502%
2010-06-05Rob_Deetwopc2250000023000000--0.31728.564%
2010-06-06Rob_Deetwopc2300000023500000--0.32428.625%
2010-06-07Rob_Deetwopc2350000024000000--0.33128.684%
2010-06-08Rob_Deetwopc2400000024500000--0.33828.741%
2010-06-09Rob_Deetwopc2450000025000000--0.34528.798%
2010-06-10Rob_Deetwopc2500000025500000--0.35228.853%
2010-06-11Rob_Deetwopc2550000026000000--0.35928.907%
2010-06-12Rob_Deetwopc2600000026500000--0.36628.961%
2010-06-13Rob_Deetwopc2650000027000000--0.37329.013%
2010-06-14Rob_Deetwopc2700000027500000--0.38029.064%
2010-06-15Rob_Deetwopc2750000028000000--0.38729.114%
2010-06-16Rob_Deetwopc2800000028500000--0.39429.163%
2010-06-17Rob_Deetwopc2850000029000000--0.40129.211%
2010-06-18Rob_Deetwopc2900000029500000--0.40829.258%
2010-06-19Rob_Deetwopc2950000030000000--0.41529.305%
2010-06-20Rob_Deetwopc2477.4760.4220.000%
2016-03-16alpertronManual testing300000010000000012
skipped known factor: 210166272152626519328449
---34.642%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-18ANONYMOUSv4_computers212560.023
2002-01-15ANONYMOUSv4_computers212570.046
2003-12-31ANONYMOUSv4_computers212580.092


ECM factoring results:
Total ECM effort:10.424 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
5000050000002812.825
250000250000001447.599


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-10ANONYMOUSv4_computers7DB71891383E17BB0.004


PRP results:
dateuseridcompidcofactorsres64
2017-09-23Oliver KruseOllaptop
210166272152626519328449
1F0128F3FBF4A44E
2017-11-02kkmrkkblmbrbkc4.xlarge
210166272152626519328449
1F0128F3FBF4A44E
2020-04-18Oliver KruseAddPrpType5
210166272152626519328449
3008D928915C739D


CERT results:
No CERT results for M415253


P-1 factor-bounds graph:
B1 = 29500000, B2 = 30000000 (P-1 stage 2)
B1 = 29500000 (P-1 stage 1)
B1 = 29000000, B2 = 29500000 (P-1 stage 2)
B1 = 29000000 (P-1 stage 1)
B1 = 28500000, B2 = 29000000 (P-1 stage 2)
B1 = 28500000 (P-1 stage 1)
B1 = 28000000, B2 = 28500000 (P-1 stage 2)
B1 = 28000000 (P-1 stage 1)
B1 = 27500000, B2 = 28000000 (P-1 stage 2)
B1 = 27500000 (P-1 stage 1)
B1 = 27000000, B2 = 27500000 (P-1 stage 2)
B1 = 27000000 (P-1 stage 1)
B1 = 26500000, B2 = 27000000 (P-1 stage 2)
B1 = 26500000 (P-1 stage 1)
B1 = 26000000, B2 = 26500000 (P-1 stage 2)
B1 = 26000000 (P-1 stage 1)
B1 = 25500000, B2 = 26000000 (P-1 stage 2)
B1 = 25500000 (P-1 stage 1)
B1 = 25000000, B2 = 25500000 (P-1 stage 2)
B1 = 25000000 (P-1 stage 1)
B1 = 24500000, B2 = 25000000 (P-1 stage 2)
B1 = 24500000 (P-1 stage 1)
B1 = 24000000, B2 = 24500000 (P-1 stage 2)
B1 = 24000000 (P-1 stage 1)
B1 = 23500000, B2 = 24000000 (P-1 stage 2)
B1 = 23500000 (P-1 stage 1)
B1 = 23000000, B2 = 23500000 (P-1 stage 2)
B1 = 23000000 (P-1 stage 1)
B1 = 22500000, B2 = 23000000 (P-1 stage 2)
B1 = 22500000 (P-1 stage 1)
B1 = 22000000, B2 = 22500000 (P-1 stage 2)
B1 = 22000000 (P-1 stage 1)
B1 = 21500000, B2 = 22000000 (P-1 stage 2)
B1 = 21500000 (P-1 stage 1)
B1 = 21000000, B2 = 21500000 (P-1 stage 2)
B1 = 21000000 (P-1 stage 1)
B1 = 20500000, B2 = 21000000 (P-1 stage 2)
B1 = 20500000 (P-1 stage 1)
B1 = 20000000, B2 = 20500000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 19500000, B2 = 20000000 (P-1 stage 2)
B1 = 19500000 (P-1 stage 1)
B1 = 19000000, B2 = 19500000 (P-1 stage 2)
B1 = 19000000 (P-1 stage 1)
B1 = 18500000, B2 = 19000000 (P-1 stage 2)
B1 = 18500000 (P-1 stage 1)
B1 = 18000000, B2 = 18500000 (P-1 stage 2)
B1 = 18000000 (P-1 stage 1)
B1 = 17500000, B2 = 18000000 (P-1 stage 2)
B1 = 17500000 (P-1 stage 1)
B1 = 17000000, B2 = 17500000 (P-1 stage 2)
B1 = 17000000 (P-1 stage 1)
B1 = 16500000, B2 = 17000000 (P-1 stage 2)
B1 = 16500000 (P-1 stage 1)
B1 = 16000000, B2 = 16500000 (P-1 stage 2)
B1 = 16000000 (P-1 stage 1)
B1 = 15500000, B2 = 16000000 (P-1 stage 2)
B1 = 15500000 (P-1 stage 1)
B1 = 15000000, B2 = 15500000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 14500000, B2 = 15000000 (P-1 stage 2)
B1 = 14500000 (P-1 stage 1)
B1 = 14000000, B2 = 14500000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 13500000, B2 = 14000000 (P-1 stage 2)
B1 = 13500000 (P-1 stage 1)
B1 = 13000000, B2 = 13500000 (P-1 stage 2)
B1 = 13000000 (P-1 stage 1)
B1 = 12500000, B2 = 13000000 (P-1 stage 2)
B1 = 12500000 (P-1 stage 1)
B1 = 12000000, B2 = 12500000 (P-1 stage 2)
B1 = 12000000 (P-1 stage 1)
B1 = 11500000, B2 = 12000000 (P-1 stage 2)
B1 = 11500000 (P-1 stage 1)
B1 = 11000000, B2 = 11500000 (P-1 stage 2)
B1 = 11000000 (P-1 stage 1)
B1 = 10500000, B2 = 11000000 (P-1 stage 2)
B1 = 10500000 (P-1 stage 1)
B1 = 10000000, B2 = 10500000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 9500000, B2 = 10000000 (P-1 stage 2)
B1 = 9500000 (P-1 stage 1)
B1 = 9000000, B2 = 9500000 (P-1 stage 2)
B1 = 9000000 (P-1 stage 1)
B1 = 8500000, B2 = 9000000 (P-1 stage 2)
B1 = 8500000 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 8000000, B2 = 8500000 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 7500000, B2 = 8000000 (P-1 stage 2)
B1 = 7500000 (P-1 stage 1)
B1 = 7000000, B2 = 7500000 (P-1 stage 2)
B1 = 7000000 (P-1 stage 1)
B1 = 6500000, B2 = 7000000 (P-1 stage 2)
B1 = 6500000 (P-1 stage 1)
B1 = 6000000, B2 = 6500000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 5500000, B2 = 6000000 (P-1 stage 2)
B1 = 5500000 (P-1 stage 1)
B1 = 5000000, B2 = 5500000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 4500000, B2 = 5000000 (P-1 stage 2)
B1 = 4500000 (P-1 stage 1)
B1 = 4000000, B2 = 4500000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3500000, B2 = 4000000 (P-1 stage 2)
B1 = 3500000 (P-1 stage 1)
B1 = 3000000, B2 = 3500000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2500000, B2 = 3000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 2000000, B2 = 2500000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1500000, B2 = 2000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 1000000, B2 = 1500000 (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 = 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)
102
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102
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104
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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