is 2 276113 - 1
has 83119 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-LF75C67DCC2AB183Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267107.615171.6418 %14000000032430681683401,752.027923.8883 %1,859.643078.4161 %
Target2440.000056.8182 %50006500000.000410.8166 %0.000461.4890 %
Difference+23+107.6151+14.8236 %+139995000+3243067518340+1,752.0275+13.0717%+1,859.6425+16.9271 %

Known prime factors (1 factor, 117.5 bits, 0.04253930% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27611322800495344402685030811603191692459936117.457412883409046344884717698970923
23 × 3229 × 1899641 × 38107259 × 76798423451
2022-06-1838107259767984234514.671e+1141.81577.433

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-08ANONYMOUSv4_computers1000004000000--0.00322.701%
2001-06-30ANONYMOUSv4_computers10000010000000--0.00625.125%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.924%
2002-08-10ANONYMOUSv4_computers65536655360012--0.00423.547%
2003-03-16ANONYMOUSv4_computers1310721310720030--0.00826.125%
2003-11-28ANONYMOUSv4_computers2621442621440012--0.01728.649%
2006-01-15Jossv4_computers276113276113--0.00314.678%
2011-06-25JossManual testing11000001100000--0.01118.863%
2011-07-24JossManual testing17624491762449--0.01720.287%
2012-02-26JossManual testing22030622203062--0.02220.958%
2012-12-03alpertronManual testing100000000200000000012--2.01742.620%
2022-06-18Sid & AndyBarrel_Of_Monkeys1400000003243068168340236117.4571,82362.295%


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_computers212570.070
2004-02-07ANONYMOUSv4_computers212580.139
2009-01-01Sturle Sundebruckner.ifi2582590.139
2009-01-28Sturle Sundefoster.ifi2592600.278
2013-06-29lycornasteroid2602610.556
2015-08-13NRManual testing2612621.113
2016-02-03Gordon SpenceManual testing26226410.67
2018-03-24Gordon SpenceManual testing26426513.53
2020-01-05Gordon SpenceManual testing26526627.06


ECM factoring results:
Total ECM effort:23.458 GHz-days
Estimated T-Level:29.863
DigitsB1CompleteFacMiss
201100063.9510.000%
25500009.2360.010%
302500000.97337.808%
3510000000.08092.311%
4030000000.00599.466%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002801.818
2500002500000058521.64


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24ANONYMOUSv4_computersF75C67DCC2AB183B0.002


PRP results:
dateuseridcompidcofactorsres64
2022-06-20some-studentsGIMPS_IN_SHANGHAI
228004953444026850308116031916924599
A69C5BEEF11CEBB1


CERT results:
dateuseridcompid
2022-06-20carldsstlouis17


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 = 2203062 (P-1 stage 1)
B1 = 1762449 (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 = 276113 (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)
103
104
105
106
107
108
109
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
266
265
264
262
261
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.86 ~= 83-bit
250
260
270
280
290
2100
2110
2120
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Last modified: 2024-03-13T02:15:48+00:00