is 2 16808681 - 1
has 5059918 decimal digits
takes 9.191 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDE037A782E1C9027double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273113.801065.7534%100000050396313022.51977.0922%136.320768.1823%
Target2697.102763.7681%12000032000000.22823.2900%7.330964.9601%
Difference+4+106.6983+1.9853%+880000+500763130+22.2915+3.8022%+128.9898+3.2221%

Known prime factors (1 factor, 128.3 bits, 0.00076352% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1680868142998630488822375489110566394500284413739128.33812790602215849767001084310659028
22 × 3 × 547 × 1009 × 1733 × 5821 × 85133 × 99643 × 22567859
2022-05-1299643225678597.876e+91.04961.8208

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-10-19ANONYMOUSv4_computers1950002973750---0.275--2.242%
2022-05-12alpertronManual testing100000050396313039128.33822.5218.3845.047.092%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-12-14ANONYMOUSv4_computers21256--0.001--
2001-04-15Net_Forcev4_computers21259--0.005--
2001-07-17ANONYMOUSv4_computers21265--0.434--
2016-03-16Mark RoseManual testing265266--0.445--
2014-09-15NesowaManual testing266267--0.889--
2018-03-11ramgeisManual testing267268--1.778--
2018-03-11ramgeisManual testing268269--3.557--
2020-05-24lycornManual testing269270--7.113--
2021-09-01lycornManual testing270271--14.23--
2021-09-19-Anonymous-Manual testing271272--28.45--
2021-11-26-Anonymous-Manual testing272273--56.91--


ECM factoring results:
Total ECM effort:0.831 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.831


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-11-24ANONYMOUSv4_computersDE037A782E1C90279.191
2006-04-14ebravickv4_computersDE037A782E1C90279.191


PRP results:
dateuseridcompidcofactorsres64PRP
2022-11-17Naegi Makoto1700
429986304888223754891105663945002844137
534404611F06F03Fno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 503963130 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 195000, B2 = 2973750 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
259
256
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-11-17T03:12:26+00:00