is 2 123259 - 1
has 37105 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA417C2CF6143BD5Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268483.574275.0000%10000000000756670016752650156,120.007933.2898%156,603.582183.3225%
Target2440.000061.3636%20001800000.00005.9919%0.000163.6787%
Difference+24+483.5742+13.6364%+9999998000+756670016572650+156,120.0079+27.2979%+156,603.5821+19.6438%

Known prime factors (1 factor, 127.6 bits, 0.10354888% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12325926391037089958286450288266744247172646339127.6331070552133716738187486847481492109
3 × 233 × 7577 × 36343 × 74369689 × 74785365230129
2023-08-0774369689747853652301291.049e+1215,42728,813

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-03-17ANONYMOUSv4_computers100000025000000---0.009--3.993%
2002-06-02ANONYMOUSv4_computers327683276800---0.001--1.185%
2002-07-20ANONYMOUSv4_computers655366553600---0.002--1.750%
2003-02-09ANONYMOUSv4_computers13107213107200---0.003--2.441%
2003-09-29ANONYMOUSv4_computers26214426214400---0.006--3.248%
2013-02-07alpertronManual testing1000000002000000000---0.771--11.173%
2023-01-13Jocelyn LaroucheManual testing1000000173706132600---35.84--11.866%
2023-02-16Jocelyn LaroucheManual testing1000000522803591310---107.8--12.940%
2023-08-07Oliver Kruse5950X1000000000075667001675265039127.633156,1200.001312,24033.290%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-04-24masserManual testing50000000405000000027--1.096
2023-04-29masserManual testing50000000255000000017511--0.793


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22ANONYMOUSv4_computers252253--0.005--
2000-04-19ANONYMOUSv4_computers21254--0.019--
2022-03-07LordJuliusManual testing254255--0.019--
2000-12-21ANONYMOUSv4_computers21256--0.078--
2002-06-02ANONYMOUSv4_computers21257--0.156--
2016-02-23Mark RoseManual testing257258--0.156--
2009-01-02Sturle Sundegiacco.ifi258259--0.312--
2009-01-28Sturle Sundeczerny.ifi259260--0.623--
2013-09-24Sid & AndyBuzz260261--1.246--
2015-08-13NRManual testing261262--2.492--
2016-02-22Gordon SpenceManual testing262263--7.964--
2016-02-22Gordon SpenceManual testing263264--15.93--
2018-05-10chuenkitManual testing264265--30.31--
2019-07-05YxinityManual testing265266--60.63--
2020-02-08Gordon SpenceManual testing266267--121.3--
2022-05-09404_factor_not_foundManual testing267268--242.5--


ECM factoring results:
Total ECM effort:125.731 GHz-days
Estimated T-Level:35.748
DigitsB1CompleteFacMiss
2011000363.4970.000%
255000071.6190.000%
3025000011.0730.002%
3510000001.40724.499%
4030000000.15086.098%
45110000000.01498.636%
50440000000.00199.889%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002500.684
250000250000005858.003
10000001000000001,58186.51
300000030000000018630.53


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Jay R. HillA417C2CF6143BD5C0.000
2016-06-01MadPooManual testingA417C2CF6143BD5C0.000


PRP results:
dateuseridcompidcofactorsres64PRP
2023-08-07Oliver Kruse5950X
263910370899582864502882667442471726463
6B07028AD6A9BB8Cno


P-1 factor-bounds graph:
B1 = 10000000000, B2 = 756670016752650 (P-1 stage 2)
B1 = 1000000, B2 = 522803591310 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 1000000, B2 = 173706132600 (P-1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (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
109
1010
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=35.75 ~= 102-bit
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2023-09-25T11:53:03+00:00