is 2 702101 - 1
has 211354 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26742.321470.1493%500000150000000.03744.5109%42.358871.4958%1.3466%
PrimeNet2400.000050.0000%65002600000.000621.4806%0.000660.7403%10.7403%
GPU722440.000054.5455%120004500000.001016.5057%0.001062.0480%7.5026%
Difference+23+42.3214+15.6038%+488000+14550000+0.0363-11.9947%+42.3577+9.4478%+9.4478%

Known prime factors (1 factor, 71.2 bits, 0.01013662% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
70210126551890016019288973772271.1691890888206683888
24 × 5683 × 20795444821
2007-12-235683207954448211,286.632.81161.282

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.196%
2002-01-28T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.420%
2002-03-16T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.761%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.241%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.866%
2002-11-02T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.632%
2002-11-09T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.632%
2003-06-01T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.526%
2016-03-17T18:50:27alpertronManual testing5000001500000012---0.037--4.511%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-01T00:00:00ANONYMOUSv4_computers253254--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21255--0.007--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.014--
2001-10-13T00:00:00ANONYMOUSv4_computers21257--0.027--
2003-09-14T00:00:00ANONYMOUSv4_computers21258--0.055--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.280 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.280 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002806.317
25000025000000444.963


Lucas-Lehmer results:
No L-L results for M702101


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T15:56:26Oliver KruseGTX-1
2655189001601928897377
A29D9CA7B9EFA2__no
2017-09-28T09:45:19Oliver KruseManual testing
2655189001601928897377
A29D9CA7B9EFA2__no
2017-11-08T22:23:22kkmrkkblmbrbkc4.large
2655189001601928897377
A29D9CA7B9EFA2__no
2020-04-20T07:15:29Oliver KruseAddPrpType5
2655189001601928897377
B7824E3DE957F6__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2020-04-20T07:15:29+00:00