is 2 22787 - 1
has 6860 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-LC7DC8443898FB283double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671,303.985577.6119%1000000000020000000000013.361519.1633%1,317.347081.9022%19.4022%
PrimeNet2400.000062.5000%500100000.00003.8236%0.000063.9339%1.4339%
GPU722440.000165.9091%500100000.00001.6212%0.000166.4618%0.5527%
Difference+23+1,303.9854+11.7028%+9999999500+199999990000+13.3615+17.5421%+1,317.3469+15.4404%+15.4404%

Known prime factors:
No known factors for M22,787

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.000--1.867%
2001-08-18T00:00:00Alex Kruppav4_computers1000000100000000---0.004--4.604%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---6.87752e-5--0.615%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.000--0.996%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.000--1.499%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.001--2.126%
2003-03-27T00:00:00ANONYMOUSv4_computers26214426214400---0.001--2.870%
2003-04-03T00:00:00ANONYMOUSv4_computers52428852428800---0.002--3.721%
2003-04-27T00:00:00ANONYMOUSv4_computers1048576104857600---0.004--4.672%
2003-05-19T00:00:00ANONYMOUSv4_computers2097152209715200---0.009--5.715%
2003-07-06T00:00:00ANONYMOUSv4_computers4194304419430400---0.018--6.842%
2003-09-29T00:00:00ANONYMOUSv4_computers8388608838860800---0.035--8.049%
2003-09-29T00:00:00ANONYMOUSv4_computers167772161677721600---0.070--9.321%
2013-10-23T12:18:00David Campeaui5-2500k304635000304635000---0.200--7.743%
2013-10-30T03:36:00David Campeaui5-2500k456950000456950000---0.300--8.365%
2013-11-14T12:53:00David Campeaui5-2500k609265000609265000---0.400--8.815%
2013-11-17T02:37:00David Campeaui5-2500k761580000761580000---0.500--9.169%
2015-01-12T06:03:00mikrColorovo120000000070000000000---3.249--16.873%
2016-08-19T04:18:52c10ck3rManual testing1000000000020000000000012---13.36--19.163%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-07T17:52:26ATH5960X50000000010150000000027--4.039


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21T00:00:00ANONYMOUSv4_computers252253--0.026--
2000-03-08T00:00:00ANONYMOUSv4_computers253254--0.053--
2000-09-29T00:00:00ANONYMOUSv4_computers?256--0.421--
2002-11-09T00:00:00ANONYMOUSv4_computers?257--0.843--
2016-02-23T04:50:49LaurVManual testing257258--0.843--
2009-01-20T13:12:00Sturle Sundebuxtehude.ifi258259--1.685--
2009-02-26T07:27:00Sturle Sundeniemeyer.ifi259260--3.370--
2012-03-23T02:13:00bcp19Manual testing260261--6.740--
2012-03-23T02:13:00bcp19Manual testing261262--13.48--
2016-08-31T00:05:09Sid & AndyMrs_Potato_Head262263--43.08--
2018-04-09T16:05:23YxinityManual testing263264--86.16--
2018-04-08T10:41:31YxinityYGSMainFrame263264--86.16--
2019-02-02T09:46:58YxinityManual testing264265--164.0--
2019-02-02T09:15:24YxinityYGSMainFrame264265--164.0--
2020-04-05T06:23:25YxinityManual testing265266--327.9--
2020-04-05T06:23:26YxinityManual testing265266--327.9--


ECM factoring results:

Old Calculation Method

Total ECM effort:3,168.826 GHz-days
Estimated T-Level:38.285
DigitsB1CurvesCompleteFacMiss
20110003848 / 10038.4800.000%
25500003848 / 28013.7430.000%
302500003848 / 6406.0130.244%
3510000003848 / 15802.4358.749%
4030000003088 / 47000.65751.836%
45110000001710 / 97000.17683.837%

New Calculation Method

Total ECM effort:3,168.826 GHz-days
Estimated T-Level:38.285
DigitsB1CompleteFacMiss
2011000942.0050.000%
2550000292.5330.000%
3025000072.4180.000%
35100000014.9280.000%
4030000002.6826.843%
45110000000.42865.170%
50440000000.06293.982%
551100000000.00899.175%
602600000000.00199.899%


ECM Summary

B1B2factorcurvesGHz-days
10000001000000007607.180
30000003000000001,37839.06
11000000110000000073876.69
1100000035133391030676777.2
430000002404906604262962,269


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:57:00MadPooManual testingC7DC8443898FB2831.03174e-5


PRP results:
Exponent "22787" not found


P-1 factor-bounds graph:
B1 = 10000000000, B2 = 200000000000 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 1200000000, B2 = 70000000000 (P-1 stage 2)
B1 = 1200000000 (P-1 stage 1)
B1 = 761580000 (P-1 stage 1)
B1 = 609265000 (P-1 stage 1)
B1 = 456950000 (P-1 stage 1)
B1 = 304635000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 524288 (P-1 stage 1)
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 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-05-07T17:52:26+00:00