is 2 1304957 - 1
has 392832 decimal digits
takes 0.041 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 PRP tests remaining
ResidueStatus
L-L748F006F3B4061FCdouble-checked
PRPA32EEF41D98B89FBPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26845.675769.1176%23800000122240014050307.106218.3466%352.781974.7835%
Target2600.117765.0000%55001800000.00070.9358%0.118465.3275%
Difference+8+45.5580+4.1176%+23794500+122239834050+307.1055+17.4108%+352.6636+9.4560%

Known prime factors (1 factor, 138.6 bits, 0.01061785% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
130495751313501698986172333902831678605373503584142138.558196609933120348687098129791551006560
25 × 3 × 5 × 103 × 149 × 39181 × 890993 × 7112711 × 107486953477		2023-09-1571127111074869534771.080e+11269.44502.66

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21ANONYMOUSv4_computers100001000000---0.003--0.859%
2013-11-11David Campeaui5-2500k119000034510000---0.138--5.681%
2016-08-09Bruno Victal5820K-factoring25000006250000012---0.265--6.734%
2016-08-27Bruno VictalManual testing25000006250000012---0.265--6.734%
2018-05-15Jocelyn Larouchelow 4M130495713049570012---0.383--7.114%
2018-10-13Jocelyn Larouchelow 4M130495714354527012---0.416--7.214%
2022-11-16Jocelyn LaroucheManual testing13049571728671490---4.385--9.889%
2023-02-16Jocelyn LaroucheManual testing13049574871786010---12.25--11.022%
2023-06-29JossJoss130495713373440080---33.54--12.131%
2023-09-15Sid & AndyBarrel_Of_Monkeys2380000012224001405042138.558307.10.083614.218.347%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-03ANONYMOUSv4_computers21257--0.015--
2003-06-17ANONYMOUSv4_computers21258--0.029--
2016-02-23Mark RoseManual testing258260--0.088--
2009-02-16Sturle Sundegoldiek.ifi260261--0.118--
2011-05-09XyzzyManual testing261262--0.235--
2013-01-03dbaughManual testing262263--0.752--
2015-04-09snme2pm1Manual testing263264--1.505--
2015-04-09snme2pm1Manual testing264265--2.863--
2015-09-29ramgeisManual testing265266--5.726--
2018-07-18ramgeisManual testing266267--11.45--
2018-07-18ramgeisManual testing267268--22.91--


ECM factoring results:
Total ECM effort:20.915 GHz-days
Estimated T-Level:25.707
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.66118.986%
302500000.14186.808%
3510000000.01099.018%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002549.81
250000350000005011.11


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Jeff Shimbo748F006F3B4061FC0.041
2016-06-01MadPooManual testing748F006F3B4061FC0.041


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-06Ethan O'ConnorHighland2020A32EEF41D98B89FBno
2023-09-16Naegi Makoto5950X
513135016989861723339028316786053735035841
A32EEF41D98B89FBno


P-1 factor-bounds graph:
B1 = 23800000, B2 = 122240014050 (P-1 stage 2)
B1 = 1304957, B2 = 13373440080 (P-1 stage 2)
B1 = 1304957, B2 = 4871786010 (P-1 stage 2)
B1 = 1304957, B2 = 1728671490 (P-1 stage 2)
B1 = 23800000 (P-1 stage 1)
B1 = 1304957, B2 = 143545270 (P-1 stage 2)
B1 = 1304957, B2 = 130495700 (P-1 stage 2)
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 1190000, B2 = 34510000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1304957 (P-1 stage 1)
B1 = 1190000 (P-1 stage 1)
B1 = 10000, B2 = 1000000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67.9
ECM T-Level=25.71 ~= 69-bit
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2023-09-25T11:53:03+00:00