is 2 1736677 - 1
has 522792 decimal digits
takes 0.094 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD89E80EBB60DC30Edouble-checked
PRP557CFFB57BD5399Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26834.321269.1176%17366771910344700.94797.9746%35.269171.5804%2.4627%
PrimeNet2570.011163.1579%80001400000.00122.7984%0.012264.1889%1.0310%
GPU722610.176965.5738%80001100000.00111.4104%0.177966.0593%0.4856%
Difference+7+34.1443+3.5439%+1728677+190924470+0.9468+6.5642%+35.0912+5.5211%+5.5211%

Known prime factors (1 factor, 84.3 bits, 0.00485402% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1736677237918042664708658459697292684.2996849806920478265632
25 × 7 × 229 × 263 × 1583 × 320743723
2022-07-3115833207437232,652,4581.37472.5674

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:37:00Carsten Kossendeyleela950001543750---0.014--2.125%
2014-04-04T00:13:00Jocelyn LaroucheManual testing100000100000---0.008--0.768%
2014-05-06T10:52:00Jocelyn LaroucheManual testing136958136958---0.011--0.923%
2014-09-10T00:51:00Jocelyn LaroucheManual testing173916173916---0.014--1.053%
2014-12-02T21:55:00Jocelyn LaroucheManual testing210874210874---0.017--1.165%
2015-04-07T07:02:00mikrMSI2732000102000000---0.640--7.565%
2018-09-17T11:35:00Jocelyn Larouchelow 4M173667717366770012---0.873--7.867%
2018-10-17T22:59:56Jocelyn Larouchelow 4M173667719103447012---0.948--7.975%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-07-31T20:43:14masserManual testing170000017000009967P+12684.2990.203


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2016-02-23T16:28:49Mark RoseManual testing258260--0.066--
2010-04-23T13:38:00Architects Cubedm1_f2260261--0.088--
2016-02-23T16:28:49Mark RoseManual testing261262--0.177--
2010-11-18T02:51:00GrunwalderGIMPManual testing21263--0.919--
2016-02-23T16:28:49Mark RoseManual testing262263--0.565--
2015-05-05T21:59:00snme2pm1Manual testing263264--1.130--
2015-05-05T21:59:00snme2pm1Manual testing264265--2.151--
2015-09-04T17:59:00ramgeisManual testing265266--4.303--
2018-04-02T12:17:08TJAOIManual testing266267--8.606--
2019-06-17T12:15:05TJAOIManual testing267268--17.21--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.885 GHz-days
Estimated T-Level:24.911
DigitsB1CurvesCompleteFacMiss
2011000275 / 1002.7506.305%
2550000275 / 2800.98237.385%

New Calculation Method

Total ECM effort:18.885 GHz-days
Estimated T-Level:24.911
DigitsB1CompleteFacMiss
201100010.5770.003%
25500000.97937.582%
302500000.06294.014%
3510000000.00399.712%


ECM Summary

B1B2factorcurvesGHz-days
50000500000027518.89


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00bezaharv4_computersD89E80EBB60DC30E0.094
2015-07-18T19:04:00MadPooManual testingD89E80EBB60DC30E0.094


PRP results:
dateuseridcompidcofactorsres64PRP
2022-08-01T04:37:17LordJuliusWhiteBox
23791804266470865845969729
557CFFB57BD5399Fno


P-1 factor-bounds graph:
B1 = 1736677, B2 = 191034470 (P-1 stage 2)
B1 = 1736677, B2 = 173667700 (P-1 stage 2)
B1 = 2732000, B2 = 102000000 (P-1 stage 2)
B1 = 2732000 (P-1 stage 1)
B1 = 1736677 (P-1 stage 1)
B1 = 1700000 (P+1 stage 1)
B1 = 210874 (P-1 stage 1)
B1 = 95000, B2 = 1543750 (P-1 stage 2)
B1 = 173916 (P-1 stage 1)
B1 = 136958 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-08-01T04:37:17+00:00