is 2 1725233 - 1
has 519347 decimal digits
takes 0.094 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L92A8D6AD08D9564Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26834.548969.1176%36422001234567890.80007.9630%35.348971.5768%2.4592%
PrimeNet2570.011163.1579%80001400000.00122.7949%0.012364.1876%1.0297%
GPU722610.178165.5738%70001100000.00101.3445%0.179066.0366%0.4629%
Difference+7+34.3708+3.5439%+3635200+123346789+0.7990+6.6185%+35.1698+5.5402%+5.5402%

Known prime factors (1 factor, 84.3 bits, 0.00488618% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1725233237809182739742209574878632684.2986892088858135168107
7 × 729969497 × 1348801733
2020-03-2172996949713488017332,893,70460.073116.86

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:42:00Carsten Kossendeyleela900001507500---0.013--2.087%
2014-04-04T00:13:00Jocelyn LaroucheManual testing100000100000---0.008--0.767%
2014-05-04T12:46:00Jocelyn LaroucheManual testing150000150000---0.012--0.970%
2014-10-03T21:04:00Jocelyn LaroucheManual testing187203187203---0.015--1.094%
2015-01-09T22:25:00Jocelyn LaroucheManual testing280804280804---0.022--1.345%
2015-02-11T12:22:00Jocelyn LaroucheManual testing373749373749---0.029--1.541%
2015-02-22T09:50:00Jocelyn LaroucheManual testing411123411123---0.032--1.610%
2015-03-06T12:09:00Jocelyn LaroucheManual testing452235452235---0.036--1.681%
2015-03-14T11:30:00Jocelyn LaroucheManual testing497458497458---0.039--1.754%
2015-04-08T16:59:00Jocelyn LaroucheManual testing601923601923---0.047--1.904%
2015-05-01T17:20:00Jocelyn LaroucheManual testing728326728326---0.057--2.062%
2015-05-07T16:18:00Jocelyn LaroucheManual testing801158801158---0.063--2.144%
2015-05-22T00:28:00Jocelyn LaroucheManual testing881273881273---0.069--2.227%
2015-05-26T18:16:00Jocelyn LaroucheManual testing969400969400---0.076--2.312%
2015-06-08T13:43:00Jocelyn LaroucheManual testing10663401066340---0.084--2.399%
2015-06-25T21:15:00Jocelyn LaroucheManual testing11729741172974---0.092--2.488%
2015-07-07T18:13:00Jocelyn LaroucheManual testing12902711290271---0.101--2.578%
2015-07-21T01:19:00Jocelyn LaroucheManual testing14192981419298---0.112--2.671%
2015-07-24T22:03:00Jocelyn LaroucheManual testing15612271561227---0.123--2.764%
2015-08-31T03:59:00mikrMSI3642200123456789---0.800--7.963%
2018-10-03T11:47:44Jocelyn Larouchelow 4M17252331725233012---0.202--5.309%
2018-10-07T10:38:15Jocelyn Larouchelow 4M17252336900932012---0.424--6.827%
2018-10-12T11:50:58Jocelyn Larouchelow 4M172523317252330012---0.868--7.850%
2018-10-17T22:59:49Jocelyn Larouchelow 4M172523318977563012---0.942--7.957%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-21T00:00:00ANONYMOUSv4_computers21257--0.011--
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2016-02-23T16:28:48Mark RoseManual testing258260--0.067--
2010-04-22T12:45:00Architects Cubedm1_76l260261--0.089--
2016-02-23T16:28:48Mark RoseManual testing261262--0.178--
2010-10-27T20:37:00GrunwalderGIMPManual testing21263--0.925--
2016-02-23T16:28:48Mark RoseManual testing262263--0.569--
2015-05-04T01:58:00snme2pm1Manual testing263264--1.138--
2015-05-04T01:58:00snme2pm1Manual testing264265--2.166--
2015-09-02T13:37:00ramgeisManual testing265266--4.331--
2018-04-09T13:44:25TJAOIManual testing266267--8.663--
2019-07-24T10:13:52TJAOIManual testing267268--17.33--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.431 GHz-days
Estimated T-Level:24.536
DigitsB1CurvesCompleteFacMiss
2011000254 / 1002.5407.786%
2550000254 / 2800.90740.302%

New Calculation Method

Total ECM effort:17.431 GHz-days
Estimated T-Level:24.536
DigitsB1CompleteFacMiss
20110008.1940.028%
25500000.74147.686%
302500000.04695.542%
3510000000.00299.791%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025117.22
50000500000030.206


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06T00:00:00ANONYMOUSv4_computers92A8D6AD08D9564F0.094
2015-06-28T05:06:00MadPooManual testing92A8D6AD08D9564F0.094


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-22T09:19:09oodairacom1
23780918273974220957487863
35565D4D5C97507Dno
2020-03-25T04:51:45daveward2005Davy
23780918273974220957487863
35565D4D5C97507Dno


P-1 factor-bounds graph:
B1 = 1725233, B2 = 189775630 (P-1 stage 2)
B1 = 1725233, B2 = 172523300 (P-1 stage 2)
B1 = 3642200, B2 = 123456789 (P-1 stage 2)
B1 = 1725233, B2 = 69009320 (P-1 stage 2)
B1 = 3642200 (P-1 stage 1)
B1 = 1725233, B2 = 17252330 (P-1 stage 2)
B1 = 1725233 (P-1 stage 1)
B1 = 1561227 (P-1 stage 1)
B1 = 1419298 (P-1 stage 1)
B1 = 1290271 (P-1 stage 1)
B1 = 1172974 (P-1 stage 1)
B1 = 1066340 (P-1 stage 1)
B1 = 969400 (P-1 stage 1)
B1 = 881273 (P-1 stage 1)
B1 = 801158 (P-1 stage 1)
B1 = 728326 (P-1 stage 1)
B1 = 601923 (P-1 stage 1)
B1 = 497458 (P-1 stage 1)
B1 = 452235 (P-1 stage 1)
B1 = 411123 (P-1 stage 1)
B1 = 373749 (P-1 stage 1)
B1 = 280804 (P-1 stage 1)
B1 = 187203 (P-1 stage 1)
B1 = 90000, B2 = 1507500 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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Last modified: 2020-05-18T10:37:58+00:00