is 2 7987921 - 1
has 2404604 decimal digits
takes 2.086 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE77E3C950E4E680Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272119.722568.0556%30000008070112050167.542411.0716%287.264971.5923%
Target2673.719965.6716%5500060000000.14352.5662%3.863366.5526%
Difference+5+116.0026+2.3839%+2945000+8064112050+167.3990+8.5054%+283.4016+5.0397%

Known prime factors (1 factor, 126.3 bits, 0.00158100% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
798792110393584739975476667617854074313014751339126.2896505813427533570166516327636636
22 × 8629 × 34679 × 1001933 × 2206669 × 2458321637		2023-08-01220666924583216371.805e+1051.50094.712

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-29ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-05-19ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-05-26ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-06-01ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-06-09ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-06-17ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-06-23ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-06-30ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-07-06ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-07-13ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-07-21ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-07-30ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-08-08ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-08-25ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-08-31ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-09-14ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-09-21ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-09-29ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-10-14ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-10-23ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-11-08ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-11-16ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-11-28ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-12-13ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-12-23ANONYMOUSv4_computers4000040000---0.015--0.304%
2003-12-31ANONYMOUSv4_computers4000040000---0.015--0.304%
2004-01-07ANONYMOUSv4_computers4000040000---0.015--0.304%
2012-06-26firejuggler1000001950000---0.076--1.776%
2022-08-26Wentao HuangManual testing990000350223720---7.579--6.796%
2023-08-01ThaZ-1703000000807011205039126.289167.54.171335.111.072%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-18ANONYMOUSv4_computers21262--0.077--
1999-07-04ANONYMOUSv4_computers21263--0.200--
2013-10-02NesowaManual testing263264--0.246--
2013-12-22David CampeauManual testing264265--0.468--
2015-06-09VictordeHollanderManual testing265266--0.936--
2016-08-22Gordon SpenceManual testing266267--1.871--
2018-07-24ramgeisManual testing267268--3.742--
2020-02-14TJAOIManual testing268269--7.484--
2020-09-26-Anonymous-Manual testing269270--14.97--
2021-12-13mikrManual testing270271--29.94--
2023-07-24krackerManual testing271272--59.87--


ECM factoring results:
Total ECM effort:2.382 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000062.382


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-17Stephan Gruppv4_computersE77E3C950E4E680A2.086
2002-10-12ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-05-19ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-05-26ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-06-01ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-06-09ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-06-17ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-06-23ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-06-30ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-07-06ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-07-13ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-07-21ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-07-30ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-08-08ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-08-25ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-08-31ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-09-14ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-09-21ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-09-29ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-10-14ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-10-23ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-11-08ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-11-16ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-11-28ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-12-13ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-12-23ANONYMOUSv4_computersE77E3C950E4E680A2.086
2003-12-31ANONYMOUSv4_computersE77E3C950E4E680A2.086
2004-01-07ANONYMOUSv4_computersE77E3C950E4E680A2.086


PRP results:
dateuseridcompidcofactorsres64PRP
2023-08-02Naegi Makoto5950X
103935847399754766676178540743130147513
458217A6F2E995FBno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 8070112050 (P-1 stage 2)
B1 = 990000, B2 = 350223720 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 990000 (P-1 stage 1)
B1 = 100000, B2 = 1950000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 40000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67.9
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2023-09-25T11:53:03+00:00