is 2 364607 - 1
has 109758 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-LC37956C99CA2F24Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268163.477072.0588%6000000030000000003.095012.5050%166.572175.5529%
Target2440.000056.8182%65001900000.000212.4715%0.000262.2036%
Difference+24+163.4770+15.2406%+59993500+2999810000+3.0948+0.0335%+166.5719+13.3493%

Known prime factors (1 factor, 128.7 bits, 0.03530435% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
36460756133171755587972128995887907526064200139128.722769776386020948200788738119503000
23 × 32 × 53 × 15907 × 76543 × 108503 × 188159 × 3440816971
2023-02-0518815934408169714.138e+112.63774.9218

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-09ANONYMOUSv4_computers327683276800---0.003--1.447%
2002-08-24ANONYMOUSv4_computers655366553600---0.006--2.094%
2003-04-03ANONYMOUSv4_computers13107213107200---0.012--2.867%
2006-01-15Jocelyn Larouchev4_computers364607364607---0.005--1.187%
2011-08-14Jocelyn LaroucheManual testing12290441229044---0.017--2.043%
2012-03-05Jocelyn LaroucheManual testing15363051536305---0.022--2.229%
2012-03-17alpertronManual testing10000000200000000---0.286--7.914%
2016-11-30mikrS05860000000300000000012---3.095--12.505%
2023-02-05Jocelyn LaroucheManual testing10000002118541425039128.72216.240.00732.4810.918%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-01-01masserManual testing2000000064000000027--0.774
2023-01-05masserManual testing2000000062000000011923--0.761
2023-01-10masserManual testing2000000062000000065--0.761


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-11ANONYMOUSv4_computers21256--0.026--
2002-02-10ANONYMOUSv4_computers21257--0.053--
2004-01-18ANONYMOUSv4_computers21258--0.105--
2008-12-29Sturle Sundegouffy.ifi258259--0.105--
2009-01-29Sturle Sundezumthor.ifi259260--0.211--
2013-05-05lycornasteroid260261--0.421--
2015-08-13NRManual testing261262--0.842--
2015-12-22Gordon SpenceManual testing262263--2.692--
2015-12-22Gordon SpenceManual testing263264--5.385--
2018-02-13BloodERazorManual testing264265--10.25--
2018-02-22Gordon SpenceManual testing264265--10.25--
2019-05-07Gordon SpenceManual testing265266--20.50--
2022-09-22LordJuliusManual testing266267--40.99--
2022-11-05Gordon SpenceManual testing267268--81.98--


ECM factoring results:
Total ECM effort:33.604 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
5000050000002802.936
2500002500000058530.67


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Ken KrieselC37956C99CA2F24F0.004
2016-06-01MadPooManual testingC37956C99CA2F24F0.004


PRP results:
dateuseridcompidcofactorsres64PRP
2023-02-05Kevin_9611
561331717555879721289958879075260642001
4B2438591BF3DAECno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 21185414250 (P-1 stage 2)
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 60000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1536305 (P-1 stage 1)
B1 = 1229044 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 364607 (P-1 stage 1)
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)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
258
257
256
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=29.86 ~= 83-bit
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260
270
280
290
2100
2110
2120
2130
Last modified: 2023-03-25T13:08:14+00:00