is 2 727241 - 1
has 218922 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8AEBFF2467B280D7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26881.960370.5882 %10000000123010988100194.361216.7085 %276.321575.5025 %
Target2440.000054.5455 %1200022500000.003916.5720 %0.003962.0782 %
Difference+24+81.9603+16.0428 %+9988000+123008738100+194.3574+0.1365%+276.3176+13.4243 %

Known prime factors (1 factor, 87.2 bits, 0.01199179% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7272411788883291186353701357890872787.209122991091755439648023
32 × 13665676861715516447
2022-12-0891366567686171551644743,098,4262.156e+104.027e+10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.749%
2002-01-28ANONYMOUSv4_computers4096409600--0.00114.652%
2002-03-16ANONYMOUSv4_computers8192819200--0.00217.436%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.185%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.891%
2002-11-16ANONYMOUSv4_computers65537655370012--0.01225.549%
2003-06-17ANONYMOUSv4_computers1310721310720012--0.02428.150%
2011-02-24JossManual testing400000400000--0.01217.345%
2011-08-20JossManual testing502085502085--0.01518.049%
2011-10-08JossManual testing10041711004171--0.02920.190%
2012-03-20JossManual testing15062571506257--0.04421.435%
2012-11-05JossManual testing24871982487198--0.07222.963%
2013-11-05David Campeaui5-2500k25850009306000012--0.18535.546%
2015-11-28Sid & AndyBullseye727241021817230012--0.46238.252%
2022-01-27LordJuliusWhitebox10000000123010988100--236.055.264%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-23ANONYMOUSv4_computers2532540.002
2000-05-24ANONYMOUSv4_computers212550.007
2000-05-31ANONYMOUSv4_computers212550.007
2001-04-01ANONYMOUSv4_computers212560.013
2001-10-25ANONYMOUSv4_computers212570.026
2003-09-21ANONYMOUSv4_computers212580.053
2008-10-16Sturle Sundeklughardt.ifi2582590.053
2008-10-16Sturle Sundeklughardt.ifi2592600.106
2010-06-18Architects Cubedm1_tt2602610.211
2015-03-02NRManual testing2612620.422
2015-10-15Gordon SpenceManual testing2622631.350
2015-10-15Gordon SpenceManual testing2632642.700
2016-04-22lycornManual testing2642655.138
2017-08-16Smok_bmvManual testing26526610.28
2020-05-10Gordon SpenceManual testing26626720.55
2022-03-31Gordon SpenceManual testing26726841.10


ECM factoring results:
Total ECM effort:15.934 GHz-days
Estimated T-Level:25.992
DigitsB1CompleteFacMiss
201100018.6510.000%
25500002.22110.850%
302500000.19882.004%
3510000000.01498.567%


ECM Summary

B1B2factorcurvesGHz-days
10.453
5000050000002805.970
25000025000000515.771
2500002706820570.718
25000027500000212.093
2500003725000070.929


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-02-24ANONYMOUSv4_computers8AEBFF2467B280D70.015
2016-06-01MadPooManual testing8AEBFF2467B280D70.015


PRP results:
dateuseridcompidcofactorsres64
2022-12-10JackBlockHome_Intel_C_i5_6500
178888329118635370135789087
1B85349FF4BCA8E8


CERT results:
dateuseridcompid
2022-12-10curtiscwcm220a-08l


P-1 factor-bounds graph:
B1 = 10000000, B2 = 123010988100 (P-1 stage 2)
B1 = 7272410, B2 = 218172300 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2585000, B2 = 93060000 (P-1 stage 2)
B1 = 7272410 (P-1 stage 1)
B1 = 2585000 (P-1 stage 1)
B1 = 2487198 (P-1 stage 1)
B1 = 1506257 (P-1 stage 1)
B1 = 1004171 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 502085 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 400000 (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 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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1010
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1016
1017
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1020
TF factor-bounds graph:
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267
266
265
264
263
262
261
260
259
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.99 ~= 70-bit
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Last modified: 2024-02-09T03:30:02+00:00