is 2 2170573 - 1
has 653408 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-L0515448232DF25D6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.460467.6471%50000002000000001.48968.9458%28.950070.5413%2.8942%
PrimeNet2580.017762.0690%100001800000.00182.8560%0.019563.1523%1.0833%
GPU722620.283064.5161%110001600000.00181.5674%0.284965.0723%0.5562%
Difference+6+27.1774+3.1309%+4989000+199840000+1.4877+7.3784%+28.6651+5.4690%+5.4690%

Known prime factors (1 factor, 69.4 bits, 0.00319904% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21705737994298561780881865372169.438184151801431716
22 × 3 × 17 × 902704908979
2020-04-271790270490897987.6244,688.98,757.5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.226%
2010-11-04T10:39:00Jocelyn LaroucheManual testing1500015000---0.001--0.198%
2010-11-07T12:40:00Jocelyn LaroucheManual testing3000030000---0.003--0.354%
2011-01-15T16:05:00Jocelyn LaroucheManual testing5000050000---0.005--0.514%
2011-01-16T05:42:00markrtiny900001620000---0.017--2.203%
2014-06-11T02:10:00Jocelyn LaroucheManual testing119570119570---0.011--0.889%
2014-10-03T21:04:00Jocelyn LaroucheManual testing149140149140---0.014--1.007%
2015-12-19T12:10:59HBendtzManual testing7000002100000012---0.172--5.203%
2019-11-03T07:53:54mikrMSI500000020000000012---1.490--8.946%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-11T00:00:00ANONYMOUSv4_computers254255--0.001--
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-05T03:31:00Sturle Sundegonzo.ifi260261--0.071--
2009-01-07T20:51:00Sturle Sundegibsy.ifi261262--0.142--
2013-09-09T08:39:00ramgeisManual testing262263--0.452--
2015-03-25T10:09:00VictordeHollanderManual testing263264--0.905--
2015-03-25T10:09:00VictordeHollanderManual testing264265--1.721--
2016-01-02T13:50:56ramgeisManual testing265266--3.443--
2016-11-14T03:44:00Gordon SpenceManual testing266267--6.885--
2019-05-06T12:23:33TJAOIManual testing267268--13.77--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.324 GHz-days
Estimated T-Level:3.700
DigitsB1CurvesCompleteFacMiss
201100074 / 1000.74047.534%
255000074 / 2800.26476.739%

New Calculation Method

Total ECM effort:6.324 GHz-days
Estimated T-Level:3.700
DigitsB1CompleteFacMiss
20110002.3879.190%
25500000.21680.594%
302500000.01398.680%


ECM Summary

B1B2factorcurvesGHz-days
500005000000726.153
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computers0515448232DF25D60.143
2018-04-12T01:18:54kkmrkkblmbrbkold0515448232DF25D60.143


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-27T15:14:53ATHec2-PRPCF
799429856178088186537
16A8398E1B8074BCno
2020-04-27T19:43:24atrenchDesktop
799429856178088186537
16A8398E1B8074BCno
2020-04-29T12:02:50daveward2005Davy
799429856178088186537
16A8398E1B8074BCno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 700000, B2 = 21000000 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 149140 (P-1 stage 1)
B1 = 119570 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
255
250
260
270
280
290
2100
Last modified: 2020-04-29T12:02:50+00:00