is 2 276499 - 1
has 83235 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9F73991997EC2A67double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267107.464871.6418 %262144262144000.01664.0198 %107.481472.7817 %
Target2440.000056.8182 %50006500000.000410.8189 %0.000461.4900 %
Difference+23+107.4648+14.8236 %+257144+25564400+0.0162-6.7990 %+107.4810+11.2918 %

Known prime factors (1 factor, 90.9 bits, 0.03286755% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27649922758259110397678008390049272890.8784115432444673882728037
3 × 19 × 71 × 89 × 179 × 63832115085041
2012-02-0617963832115085041906,851,52134,45964,359

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-08ANONYMOUSv4_computers1000004000000--0.00322.704%
2001-06-30ANONYMOUSv4_computers10000010000000--0.00625.127%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.926%
2002-08-10ANONYMOUSv4_computers65536655360012--0.00423.550%
2003-03-16ANONYMOUSv4_computers1310721310720030--0.00826.128%
2003-11-28ANONYMOUSv4_computers2621442621440012--0.01728.652%
2006-01-15Jossv4_computers276499276499--0.00314.684%
2011-06-26JossManual testing10555561055556--0.01018.740%
2011-07-24JossManual testing17592601759260--0.01720.284%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-24ANONYMOUSv4_computers2522530.002
2000-04-27ANONYMOUSv4_computers212540.009
2022-03-07LordJuliusManual testing254255
2001-02-25ANONYMOUSv4_computers212560.035
2002-03-24ANONYMOUSv4_computers212570.069
2004-02-14ANONYMOUSv4_computers212580.139
2009-01-01Sturle Sundebruckner.ifi2582590.139
2009-01-29Sturle Sundefoster.ifi2592600.278


ECM factoring results:
Total ECM effort:42.975 GHz-days
Estimated T-Level:28.579
DigitsB1CompleteFacMiss
201100046.6530.000%
25500006.7920.112%
302500000.71648.883%
3510000000.05994.252%
4030000000.00499.602%


ECM Summary

B1B2factorcurvesGHz-days
10.037
5000050000002841.844
250000250000001926.983
2500003466856470.295
25000036750000210.905
25000038500000210.924
25000055133578510731.99


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24ANONYMOUSv4_computers9F73991997EC2A670.002


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
2275825911039767800839004927
7509699E6274CDA8
2017-09-22Oliver KruseManual testing
2275825911039767800839004927
7509699E6274CDA8
2017-10-13kkmrkkblmbrbkc4.xlarge
2275825911039767800839004927
7509699E6274CDA8
2020-04-17Oliver KruseAddPrpType5
2275825911039767800839004927
4614064D4A750B95


CERT results:
No CERT results for M276499


P-1 factor-bounds graph:
B1 = 1759260 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1055556 (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 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 276499 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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259
258
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=28.58 ~= 78-bit
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Last modified: 2024-02-29T14:28:04+00:00