is 2 276137 - 1
has 83126 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-L6FC52B5E05170DC5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267107.605771.6418%14000000032430681683401,752.027923.8884%1,859.633678.4161%
Target2440.000056.8182%50001300000.000110.8168%0.000161.4891%
Difference+23+107.6057+14.8236%+139995000+3243068038340+1,752.0278+13.0717%+1,859.6335+16.9271%

Known prime factors (1 factor, 103.2 bits, 0.03738692% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2761371196931029007575956578872437603332103.23921672775271107746455181168
24 × 3 × 2726067671 × 165629106087371
2023-01-2127260676711656291060873715.096e+1189,438166,997

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-08ANONYMOUSv4_computers1000004000000---0.003--2.279%
2001-06-30ANONYMOUSv4_computers10000010000000---0.006--2.753%
2002-06-02ANONYMOUSv4_computers327683276800---0.002--1.581%
2002-08-10ANONYMOUSv4_computers655366553600---0.004--2.269%
2003-03-16ANONYMOUSv4_computers13107213107200---0.008--3.086%
2003-11-28ANONYMOUSv4_computers26214426214400---0.017--4.019%
2006-01-15Jocelyn Larouchev4_computers276137276137---0.003--1.119%
2011-06-25Jocelyn LaroucheManual testing11000001100000---0.011--2.099%
2011-07-24Jocelyn LaroucheManual testing17622511762251---0.017--2.516%
2012-02-26Jocelyn LaroucheManual testing22028142202814---0.022--2.728%
2012-12-03alpertronManual testing1000000002000000000---2.017--12.620%
2022-06-18Sid & AndyBarrel_Of_Monkeys1400000003243068168340---1,752--23.888%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-01-21masserManual testing200000002000000016123P+132103.2390.307
2023-01-25masserManual testing2000000062000000065--0.631
2023-01-27masserManual testing2000000062000000027--0.631


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24ANONYMOUSv4_computers252253--0.002--
2000-04-27ANONYMOUSv4_computers21254--0.009--
2022-03-07LordJuliusManual testing254255--0.009--
2001-02-25ANONYMOUSv4_computers21256--0.035--
2002-03-24ANONYMOUSv4_computers21257--0.070--
2004-02-07ANONYMOUSv4_computers21258--0.139--
2009-01-01Sturle Sundebruckner.ifi258259--0.139--
2009-01-28Sturle Sundefoster.ifi259260--0.278--
2013-07-14lycornasteroid260261--0.556--
2015-08-13NRManual testing261262--1.112--
2016-02-03Gordon SpenceManual testing262263--3.555--
2016-02-03Gordon SpenceManual testing263264--7.110--
2018-03-24Gordon SpenceManual testing264265--13.53--
2020-01-05YxinityManual testing265266--27.06--
2020-01-05Gordon SpenceManual testing265266--27.06--


ECM factoring results:
Total ECM effort:23.407 GHz-days
Estimated T-Level:29.860
DigitsB1CompleteFacMiss
201100064.0140.000%
25500009.2360.010%
302500000.97237.833%
3510000000.08092.320%
4030000000.00599.467%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002842.075
2500002500000058421.33


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24ANONYMOUSv4_computers6FC52B5E05170DC50.002


PRP results:
dateuseridcompidcofactorsres64PRP
2023-01-21masserManual testing
11969310290075759565788724376033
66C1C26A9B14A59Dno


P-1 factor-bounds graph:
B1 = 140000000, B2 = 3243068168340 (P-1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 140000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 20000000 (P+1 stage 1)
B1 = 2202814 (P-1 stage 1)
B1 = 1762251 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1100000 (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 = 276137 (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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Last modified: 2023-01-27T12:37:17+00:00