is 2 212897 - 1
has 64089 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBC5D3A7E70BD8B__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267139.569573.1343%30000000100708329922203,668.770323.2052%3,808.339879.3686%6.2342%
PrimeNet2400.000055.0000%2200550000.000013.0029%0.000060.8513%5.8513%
GPU722440.000059.0909%4000900000.00019.3396%0.000162.9117%3.8208%
Difference+23+139.5694+14.0434%+29996000+10070832902220+3,668.7703+13.8656%+3,808.3397+16.4569%+2.4135%

Known prime factors (2 factors, 189.6 bits, 0.08904092% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2128976928997108924096456232169.2311627312059099963
32 × 113 × 1600110185939
2007-09-011131600110185939692.42582.881,088.7
212897167578610095312647516346939525751692137120.3343935673356019874575882866821180
22 × 5 × 761 × 6389 × 1419563 × 11454829 × 2489019073
2021-05-211145482924890190738.836e+110.97911.6935

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21289711611517048679397387256186468023396838979597022965
36086783
58189.565
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.647%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.508%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.176%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.972%
2003-10-23T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.884%
2021-05-21T09:28:56Oliver KruseOllaptop30000000300000000037120.3341.2820.0022.56512.417%
2022-02-22T00:06:57Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 692899710892409645623
skipped known factor: 1675786100953126475163469395257516921
--3,669--23.205%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:09:18LordJuliusManual testing254255--0.011--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.045--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.090--


ECM factoring results:
Total ECM effort:12.437 GHz-days
Estimated T-Level:28.480
DigitsB1CompleteFacMiss
201100047.6020.000%
25500006.7160.121%
302500000.69649.853%
3510000000.05794.489%
4030000000.00499.624%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002771.354
250000250000003668.947
2500003125000070.185
2500003375000070.191
2500003600000070.196
2500003850000070.202
25000055133578571.362


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-25T00:00:00ANONYMOUSv4_computersBC5D3A7E70BD8B__0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T03:12:44Oliver KruseOllaptop
692899710892409645623
5C299A36D91BFC__no
2017-09-22T10:03:35Oliver KruseManual testing
692899710892409645623
5C299A36D91BFC__no
2017-10-12T09:29:23kkmrkkblmbrbkc4.xlarge5C299A36D91BFC__no
2020-04-17T19:13:37Oliver KruseAddPrpType5
692899710892409645623
2CE8749FFA6FF2__no
2021-05-21T09:34:51Oliver KruseIOS-5
692899710892409645623
1675786100953126475163469395257516921
2CE8749FFA6FF2A4no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-09-08T18:25:37+00:00