is 2 7018709 - 1
has 2112842 decimal digits
takes 1.530 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD371CD8596FD7A23double-checked
PRP310B7D97E64B9572verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272136.254968.0556%2000000201646830035.33449.0613%171.589370.9502%2.8946%
PrimeNet2630.227463.4921%300008000000.02273.3150%0.250164.7023%1.2102%
GPU722674.233565.6716%450009000000.02902.2415%4.262566.4411%0.7695%
Difference+5+132.0214+2.3839%+1955000+2015568300+35.3054+6.8198%+167.3268+4.5090%+4.5090%

Known prime factors (1 factor, 102.9 bits, 0.00146613% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7018709948553112022013581526018073260931102.904675731898859187338815456
25 × 32 × 73 × 1123 × 1321 × 19259 × 1124974727
2021-12-311925911249747272.264e+1019.38536.195

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-10-06T00:00:00ANONYMOUSv4_computers30000202500---0.012--0.639%
2012-08-28T23:38:00Squeeky_SquirrelE8400_30001350002835000---0.089--2.036%
2021-12-31T21:54:13mikrNitron2000000201646830031102.90435.333.06170.679.061%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-16T00:00:00ANONYMOUSv4_computers21261--0.044--
1999-03-01T00:00:00RonnyKarlv4_computers21262--0.088--
2001-09-30T00:00:00ANONYMOUSv4_computers21263--0.227--
2014-02-06T08:05:00NesowaManual testing263264--0.280--
2014-02-13T14:13:00ANONYMOUSManual testing264265--0.532--
2015-06-12T10:16:00VictordeHollanderManual testing265266--1.065--
2016-04-27T15:03:33america64Manual testing266267--2.129--
2018-07-19T08:41:33ramgeisManual testing267268--4.259--
2020-04-17T08:26:50TJAOIManual testing268269--8.518--
2020-06-22T19:00:03mikrManual testing269270--17.04--
2020-06-22T19:00:03mikrManual testing270271--34.07--
2021-09-25T07:02:36SRBaseManual testing271272--68.14--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.989 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:1.989 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.19482.403%
25500000.01798.266%
302500000.00199.892%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-29T00:00:00ANONYMOUSv4_computersD371CD8596FD7A231.530
2002-03-10T00:00:00WillametteMathv4_computersD371CD8596FD7A231.530


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-06T14:47:05Joe S.VMWare1
9485531120220135815260180732609
310B7D97E64B9572no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 2016468300 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 135000, B2 = 2835000 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 30000, B2 = 202500 (P-1 stage 2)
B1 = 30000 (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
261
250
260
270
280
290
2100
2110
Last modified: 2022-01-06T14:47:05+00:00