is 2 7639277 - 1
has 2299652 decimal digits
takes 1.666 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4B16E9C4BEA0A0B3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273250.396068.4932%30000009447487140163.642910.4219%414.038971.7768%
Target2673.889665.6716%5000011000000.03392.4446%3.923566.5108%
Difference+6+246.5064+2.8215%+2950000+9446387140+163.6091+7.9773%+410.1154+5.2659%

Known prime factors (1 factor, 136.8 bits, 0.00179092% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
763927715304484791649199619809115058211965697916142136.81310016972019504725132894850558640540
22 × 5 × 73 × 251 × 263 × 743 × 1259 × 143159 × 297083 × 2612420807		2023-02-2129708326124208072.288e+1045.09184.052

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-10-19ANONYMOUSv4_computers40000630000---0.023--0.887%
2012-07-26NesowaWork950001757500---0.059--1.498%
2020-05-23GdSManual testing310809621618112---0.200--2.578%
2023-02-21DRobinsonPE5600X3000000944748714042136.813163.63.332327.310.422%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-09ANONYMOUSv4_computers21262--0.080--
1998-09-13ANONYMOUSv4_computers21263--0.209--
2013-10-11NesowaManual testing263264--0.257--
2013-12-06David CampeauManual testing264265--0.489--
2015-06-09VictordeHollanderManual testing265266--0.978--
2016-09-15Gordon SpenceManual testing266267--1.956--
2018-07-31ramgeisManual testing267268--3.913--
2020-03-06TJAOIManual testing268269--7.826--
2021-04-08-Anonymous-Manual testing269270--15.65--
2021-04-08-Anonymous-Manual testing270271--31.30--
2021-05-01-Anonymous-Manual testing271272--62.60--
2021-05-01-Anonymous-Manual testing272273--125.2--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-24ANONYMOUSv4_computers4B16E9C4BEA0A0B31.666
2002-12-02Team Prime Ribv4_computers4B16E9C4BEA0A0B31.666


PRP results:
dateuseridcompidcofactorsres64PRP
2023-02-27Funky Waddlemain
153044847916491996198091150582119656979161
2E63F37FD372399Ano


P-1 factor-bounds graph:
B1 = 3000000, B2 = 9447487140 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 310809, B2 = 6216181 (P-1 stage 2)
B1 = 310809 (P-1 stage 1)
B1 = 95000, B2 = 1757500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 40000, B2 = 630000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
262
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
2140
Last modified: 2023-03-25T13:08:14+00:00