is 2 2162119 - 1
has 650863 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7E201794F1683031double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.743067.1642%57600057600000.08184.3240%13.824868.5840%1.4198%
PrimeNet2580.017862.0690%100001800000.00182.8539%0.019663.1515%1.0825%
GPU722620.284164.5161%100001600000.00171.5195%0.285965.0553%0.5392%
Difference+5+13.4588+2.6481%+566000+5600000+0.0801+2.8045%+13.5389+3.5287%+3.5287%

Known prime factors (1 factor, 79.7 bits, 0.00368667% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21621199889025634972995997822972479.710228688282998599892
22 × 3 × 13 × 4091 × 358335500377
2018-02-26409135833550037773,6881,861.33,476.4

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.279%
2010-11-04T10:39:00Jocelyn LaroucheManual testing1500015000---0.001--0.238%
2010-11-07T01:16:00Jocelyn LaroucheManual testing3000030000---0.003--0.417%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.599%
2011-01-22T19:42:00markrtiny1200002340000---0.023--2.860%
2014-10-03T21:04:00Jocelyn LaroucheManual testing149686149686---0.014--1.154%
2016-04-18T22:25:29Jocelyn LaroucheManual testing240000883670912---0.068--4.243%
2017-09-05T23:15:05Jocelyn Larouchelow 4M48000048000006---0.068--4.076%
2017-09-13T23:12:01Jocelyn Larouchelow 4M57600057600006---0.082--4.324%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-05T07:09:00Sturle Sundegolli.ifi260261--0.071--
2009-01-08T09:16:00Sturle Sundegoober.ifi261262--0.142--
2013-01-23T08:20:00dbaughManual testing262263--0.454--
2015-03-25T10:09:00VictordeHollanderManual testing263264--0.908--
2015-03-25T10:09:00VictordeHollanderManual testing264265--1.728--
2015-12-30T18:01:37ramgeisManual testing265266--3.456--
2016-11-11T01:20:35Gordon SpenceManual testing266267--6.912--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.990 GHz-days
Estimated T-Level:1.750
DigitsB1CurvesCompleteFacMiss
201100035 / 1000.35070.345%
255000035 / 2800.12588.230%

New Calculation Method

Total ECM effort:2.990 GHz-days
Estimated T-Level:1.750
DigitsB1CompleteFacMiss
20110001.12932.335%
25500000.10290.299%
302500000.00699.374%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.819
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computers7E201794F16830310.142


PRP results:
dateuseridcompidcofactorsres64PRP
2018-02-28T00:26:34Hexaflexagoncrna
988902563497299599782297
D94497569207D2__no
2018-02-28T17:03:05arnaudstm-11-010
988902563497299599782297
D94497569207D2__no


P-1 factor-bounds graph:
B1 = 576000, B2 = 5760000 (P-1 stage 2)
B1 = 480000, B2 = 4800000 (P-1 stage 2)
B1 = 240000, B2 = 8836709 (P-1 stage 2)
B1 = 576000 (P-1 stage 1)
B1 = 480000 (P-1 stage 1)
B1 = 120000, B2 = 2340000 (P-1 stage 2)
B1 = 240000 (P-1 stage 1)
B1 = 149686 (P-1 stage 1)
B1 = 120000 (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)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2018-02-28T17:03:05+00:00