is 2 7668709 - 1
has 2308512 decimal digits
takes 1.755 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD904A4EF4DB64398double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273249.435068.4932%300000010362966900188.269810.5210%437.704771.8080%
Target2673.874765.6716%5000011000000.03562.4461%3.910366.5114%
Difference+6+245.5603+2.8215%+2950000+10361866900+188.2342+8.0749%+433.7945+5.2966%

Known prime factors (1 factor, 126.9 bits, 0.00165460% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
766870915729098853543985670357517818216933807339126.88710255376004972926779694938103804
22 × 7 × 31 × 97 × 1399 × 8369 × 88937 × 930043 × 125771819		2023-03-159300431257718192.171e+102.56534.2463

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-03-31dlsilverv4_computers40000550000---0.022--0.853%
2012-08-02NesowaWork950001757500---0.062--1.499%
2020-05-24GdSManual testing13376983210474212---1.000--4.402%
2023-03-15DRobinsonPE5600X30000001036296690039126.887188.33.509376.510.521%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-02ANONYMOUSv4_computers21261--0.040--
1998-08-16ANONYMOUSv4_computers21262--0.080--
1998-08-30ANONYMOUSv4_computers21263--0.208--
2013-10-11NesowaManual testing263264--0.256--
2013-12-07David CampeauManual testing264265--0.487--
2015-06-12VictordeHollanderManual testing265266--0.974--
2016-09-20Gordon SpenceManual testing266267--1.949--
2018-07-31ramgeisManual testing267268--3.898--
2020-03-20TJAOIManual testing268269--7.796--
2021-04-08-Anonymous-Manual testing269270--15.59--
2021-04-08-Anonymous-Manual testing270271--31.18--
2021-05-01-Anonymous-Manual testing271272--62.36--
2021-05-01-Anonymous-Manual testing272273--124.7--


ECM factoring results:
Total ECM effort:2.088 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000062.088


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-04ANONYMOUSv4_computersD904A4EF4DB643981.755
2002-04-14dlsilverv4_computersD904A4EF4DB643981.755


PRP results:
dateuseridcompidcofactorsres64PRP
2023-03-21Funky Waddlemain
157290988535439856703575178182169338073
383EBDC500EBFFE2no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 10362966900 (P-1 stage 2)
B1 = 1337698, B2 = 32104742 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1337698 (P-1 stage 1)
B1 = 95000, B2 = 1757500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 40000, B2 = 550000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
262
261
this exponent TF target: 67
TF double-checked to: 67.7
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2023-03-25T13:08:14+00:00