is 2 2170213 - 1
has 653300 decimal digits
takes 0.143 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE2F9B04F4AE75BDFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.691767.1642%500000150000000.12305.1736%13.814768.8630%1.6988%
PrimeNet2580.017762.0690%100001800000.00182.8559%0.019563.1522%1.0833%
GPU722620.283164.5161%110001600000.00181.5673%0.284965.0723%0.5562%
Difference+5+13.4086+2.6481%+489000+14840000+0.1212+3.6063%+13.5298+3.7907%+3.7907%

Known prime factors (2 factors, 155.9 bits, 0.00718163% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2170213142614842472447125903112373.5953285733761442935
33 × 5 × 112 × 45377 × 4432793
2016-03-07453774432793975.850.02710.0430
217021357993760631941830417287592582.2621336130615564965983
3 × 7 × 3721847 × 17095078709
2009-12-03372184717095078709826,74289.132165.85

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21702138270771036909189829026109828608838661835345404947155.857
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.279%
2016-03-07T18:39:10alpertronManual testing50000015000000122373.5950.1230.2850.2465.174%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-04T00:00:00ANONYMOUSv4_computers21257--0.009--
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T16:35:56LordJuliusManual testing21260--0.071--
2009-01-04T22:49:00Sturle Sundegonzo.ifi260261--0.071--
2009-01-07T09:55:00Sturle Sundegibsy.ifi261262--0.142--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.210 GHz-days
Estimated T-Level:1.200
DigitsB1CurvesCompleteFacMiss
201100024 / 1000.24078.568%
255000024 / 2800.08691.772%

New Calculation Method

Total ECM effort:2.210 GHz-days
Estimated T-Level:1.200
DigitsB1CompleteFacMiss
20110000.96837.986%
25500000.08991.464%
302500000.00699.436%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000100.855
50000649901770.672
50000675000070.684


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-04T00:00:00ANONYMOUSv4_computersE2F9B04F4AE75BDF0.143
1999-02-21T00:00:00ANONYMOUSv4_computersE2F9B04F4AE75BDF0.143


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T03:14:34Oliver KruseGTX-2
14261484247244712590311
5799376063194183041728759
286CF6FD2E1AB5D3no
2017-10-17T23:57:53Oliver KruseGTX-0
14261484247244712590311
5799376063194183041728759
46A1B6455ED8EC__no
2017-11-19T04:39:45kkmrkkblmbrbkc4.xlarge
14261484247244712590311
5799376063194183041728759
46A1B6455ED8EC__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-08-09T11:06:37+00:00