[PRIMO - Primality Certificate] Version=3.0.9 WebSite=http://www.ellipsa.eu/ Format=3 ID=B33C800243623 Created=01/15/2011 12:43:56 AM TestCount=51 Status=Candidate certified prime [Comments] Write any comment here [Running Times] Initialization=0.04s 1stPhase=10.26s 2ndPhase=2.92s Total=13.22s [Candidate] File=C:\Documents and Settings\shoogend\My Documents\primo\3.0.9.1\work\1\primo_1000000000044717195.in N$=8AA85B5E0BDE260082D75E356A3CF54C5EA81FC9A8CCAE617AE8599BC7F9A6EE443930CFADF83F33C8E6F3538E5EA673AF01EC313ADAEB617B247533C4172262DCC4F4322E92398599C10C3044459418BA0AAA14C8F3E457B1CA879D04C2A9D75367C1C71B1F21C78CD856D4ADAB3C9FF719CDC072C99A1DADA357BB1E9BB3CBA2D2812793E925390A5AED9F2B9 HexadecimalSize=283 DecimalSize=341 BinarySize=1132 [1] Type=3 S$=2D48CEE10AD700 R$=30FDA966ADAD5AD2DA82221F139D958D0E6B60D3870C7696612DC891A98E535F5175E7F797F84510EFB266BE2F7CD2FA4708DE39224885078B307193AA8E7169D1ECD640E957B1665143A3A35999EDF7F54538FE538EB96B177F58ACDA13C4A52BD0095FC4A91045EBE02F03142CBC0F51E36617E6B26046B2027111B9F75E0C6179485E13CCB5 A$=-23 B$=62 T$=0 [2] Type=3 S$=4 R$=C3F6A59AB6B56B4B6A08887C4E76563439AD834E1C31DA5984B72246A6394D7D45D79FDE5FE11443BEC99AF8BDF34BE91C2378E48922141E2CC1C64EAA39C5A747B35924E1757380936C104355EB90FED94D94C46E64D9AC093B99387BFC77E8C2123DDDFEB7BB523F10D08B47CE48583F9F5D3F4D26757C59342803D17906E2B7EF56323331F A$=-7328 B$=1DBA42 T$=1 [3] Type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ype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ype=4 S$=29BBFFB3C R$=50D87D6CB0FEF237CE153951378FB303EDABB003BFA3EA88B56EF2F34FC1C9092E458A6DAED6F28A654FDA4A3B7FDA639827D7BD171374B5E2064246E154AFABCA5808F16C70A510F57F915156BD657784977AF5B32AD0FBE01B01B6D6A5CA28716D3E57F8E67B828D52C30A82F4B4ADD450FCD2EFE5458A92192D95A5E8BA39 J$=C8CCD8D6B437D9C0EBA8F1B7D770D13F95008B57209813DE44DFAE4498659D5897887369945ADABF0DC2DFA0C6B9F7A612BEEEE1E41D953EB4747633BED563B383E9F0CFD189AF764E38E0542A73486339F28D26639E56C5569F9F45B11EF16D9035885521C78CC672B3892DEBD7B0A4055B30C0530ADEB80509AC10739BA06668461EF T$=1 [6] Type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ype=3 S$=34 R$=9E0F44D4C0AA829D351F369F5A97BA9C072FC699080C9CBE93824910FDA2F2A87D7BD1350F7C687350F4D70F6503C4670C3EF918F52163B277F73762D88CD398D44F420E280D9FB2CE57282B25E491292973D76968D6C512FA1F8CC325CBFD40C85F5687629F1699E94A8E8C03BE17911912FB1317C53017151D A$=1 B$=0 T$=3 [8] Type=4 S$=26D4 R$=4121CC371DA276B94FE3A7A932D37CCCCFC2EBBEE7CFA0B4B9A46E76778EA89A512BE9D5601C3065E9862AAC9D6AF09C31F64E20BE04E63943DFF28F8BD87F33C557CF10EBD33D1BC14618ABA3FB6270F14AE5E3DC5BD3940FE9D4F0313616DEBFF5FD8D3E7628FBA880981841285158CAC1AF83EB1582BF7 J$=3B3093F6D4B81CCACD222B86E96BB33C62185FA9AF95B23AA556329F969160D2C4B15D8B28D364F31F5A45CC86B31EE5E8865DCB02662E024F6AF34C82F691E4A074753688EF9ED8D7B2FB6B09A096942391A39A154D4D50BF510154DD66CD1468F6B760C3E076C6509676882E73E24C810C7C17AAFC4E96B3AB T$=0 [9] Type=2 S$=68 R$=A05331C2BF19C1C8271CB065696B0BD0C455F58726EB6433040AE886129A3C8F8CBADD20EC94285D5285555A21073C942C36E7B30ED0FBA0A7139026448B11BA834E4C786BE0966BB45DC692CEB98FDAEF7D4993597F92A789A20C27DB98D5D589BFF9F9374A3D7F289F003BB41479781A7A4D937DBECBB Q$=3 [10] Type=3 S$=B189AB59B R$=E72E19195AD5C14B1736E3D359CD310CEB262278E93D9EA5F3AF3181CCD7DECCE681D66FFE41C337BB7D61860F68A005F78F0109DA4DF45B5396D2EFB3D419EB11F491387CDBBEB37EFB8AC8FDB1493A4C48B58D797DFA09820BF4A34806609DEE0B5EFB338276E2C14D5E6353ED7B0D377EF7 A$=-108 B$=69E T$=0 [11] Type=4 S$=355 R$=4561914955C8B4755F806ACA158C832A979A99CD40E5C69271597E338F68B3B5D75615BD5F36D9A67C186C7FDE359BC4911FD04AFC309AF7B1D5659F3F234D8F690EDBC65A0A896493B17681B3833BF4FFCFC876960C934A4DB2EFAAC3633C3E13EF9F325C170B59E012944C7EEA48DABB93 J$=-5078FF593D43B6530B54A2F775989036E4958BCBB42B307D6059865040EE625A5BDAF964ECAECC28844B22FA4337B7980AB10044BB7D89877ACC67561DA283E84E4474BD4870B2A81A85F7118B23C8A825991738DCDBD6DB11B35AEA53AD30000259CFF162F03B2C9A2E90B2FA10B04CBB9B2A T$=0 [12] Type=3 S$=152B R$=34713DAD6469C9436965756C939E5087BF131D480BA36D3A95435039DE63D4E2D39C7AD1BFA167864B9043A62458541A5110B96827D37BE39C4539AD67E0C24809D7675758515B2689E49AB4BEBF6A0DF0D5C11889E047AC6663FA6E6D0F56AF9CD084335E35E225B9A61597F7AF1732B A$=0 B$=3 T$=1 [13] Type=3 S$=129 R$=2D33ECC247094C142E066DD5663E54EDAE2DC83734447648E8178AF8211720A7EE6D050417D0F0EFE097EE7559141BABCD337ABF7CD551CA3856CA3A6666A2B67DF3586EAD206A3F0F1DA83616417B75F4BE71CF7293F011B16B7B9D5861B51046B0829210E4F2725E0A25FB29723F5 A$=-108 B$=69E T$=1 [14] Type=2 S$=102 R$=2CDA3851A3C1C88327B6FFD5BAC8C366E06CEE5A7F45EA7400175C3FA1D379B48562408311AD95C457E81E38E745908AB7C3F2D9C942CC31D4AD6F5BAF0891935744CED10B0A5593E74F0A21D29C42F014954740F0B28AFBB9F78C844FC230AEE8DEC50800E32C1A29B6B88A1547B Q$=2 [15] Type=4 S$=8D0CBE3236 R$=5167CB4C73EA3987E76506AF574308C8F514C4C6FE7342DCDD5FA94122165537799E000F26DFA43D7F8A6DB22E6A3FDC14E61D3A5293C6FE8620236890B74D75D42A41DC191160DD55C7AB2DEFC4D153CF06CC12B22A54087E8DBC40CF26AAF04E1203DC5ECA567891F J$=-11E1960D3F0A99A24EC405FDC1C0B0EBBC7CCE563C90D4A5AE9CE8EE2553E76EBF7EEB187C35D00E4C1A6F7F7420E1D90A9E86DCE99F3291CF3E3B3ADFD14C57D7759622CABA976ECC4C371E10EEF18B358E2F3548BAC767BB8582D8B80633205A55913AE9CA008FC75F9BD19AE65 T$=1 [16] Type=4 S$=76334BE8C7C R$=B04F1CC3BF6805BAC4A3DA79C47EA28871C9CEACB8033A1438076D7E077D9A413D4D4AC6D62F7F6D703ED58EE4075D32E6BCCDEB3C46AF5FDC63BD60C23FD526FF411C4AFFF3D3E7C7402547DDD5730C51E443134C0130E46E2859670BD30B53016EB20F J$=20A869313695518E058AEF65A33CD5EFDE20C4D8911AD8D002E25ECEAEC0399DCC769BA0F9BA3459F50DD2E0E8C066DA596FA9BDA4EEDA8B716EC3B930DC318E3F801B786C3DF77F8EDF8EEF30A8AD74293B5C4F142BE7C5C54295EB8AF5C64B4484A3395567942BDAF T$=1 [17] Type=1 S$=1F35CEA R$=5A62A8A08F6D210B5C0348F26E24A89F3618077CB2B728FD784A2358871D4E9B099C895B0180A72762A7F4362DD4953E9096A70C913870052379BCE5A11F4FD6CBB6ED320BE11F5E420750B2A0005895E3CF75A14AA7B96551B7571F5F6102320B B$=2 [18] Type=4 S$=77B5 R$=C14B47DAE7976B883DB61C5F736DD0A0B5B5E5ECED1260CC6F52ABDFBF49468E4F95044B3AC1D97BF322871915B75983C777515AD322A062D39C7E6C90706F6F8E9F1EB2A57F3A098E4637101CC7463DE30E46FDABE1261DDB3B73F4460A73 J$=184EF137F619028FD458F930862D38B0C6142CCAAF8D58AF5C78E512FCCB0FBAA37685C97CCAF30AB3C3B6C9673AAEFFA57025797D3197DBE3B065DE13C62BD8AE8462712C2732AE6C2FE760A32A3AE9AE421DA52E8527179F89B65D1B028D3CB T$=1 [19] Type=4 S$=7C57E6 R$=18DF4EFA3EE9CFF95534788C1754CADCBE19AF2BC549DC47585F0A6B77E3AE1502F48112EBED4A4AF59FAA551FC8A0BEE49CC15678500EE3D21026FE6CCC6B58EF5C4D7F67A67345B0FE89900563D667E821604D1E0A7D260257827C5 J$=1507AF901B2221A32FC8B52706D86B9F1D455C4E9505BA8546C6B8ED8C9553E250F0DDD21C504300DAA140D16A440828BC8390986326669C303B0CE95E5BE4C439C7FB1B2C6B91B813643AC63B5EF4CEC89945D601D6CB09D48345AA695AAA T$=1 [20] Type=3 S$=27D472 R$=9FDCD7F9BDD4A654A4603272B6EDC1B4386D9F4217DCFDA9D0A1C87268442F2B3C0A0D37CA6E53E800DCCC25AF0B670CBC57ADE01706371B780765F7BC1284F4614C40C6B9B066FD8EB6DDE34983669EA0952FC3551FE0FDF81 A$=2 B$=0 T$=1 [21] Type=3 S$=2BDEAA R$=3A4DEF4F5A1A8C24805636926C748917C3C065E826B32298BC385764E80C0E4945CD09EC7CEB4EC9EBEED04E298D7979486A0D8AEBDA16DEFB26A1D4C84357679D0EF4F6D6B0A9A3BE0CED6E3834DB24E7A27EB104E425 A$=4C2A3CEDADC4692361A962C19DA3A10E53C3BE9A43FB1D4616C397F9F22A87C06FA5D61B6BE75F3283C9F29ACD73C4977913B51CF9AE10F16BAF8181F0621764CDE7D315567CE1A29AC91D2BE9B2B2BE289E3D9B39162B66824 B$=0 T$=1 [22] Type=4 S$=3FEFFA R$=E9722FAC07E44A6200D23EED23011FEF25C97588E00961BC411B4A80CF60249F4273B2D982D2540067B538584777FD7467CBF2D60FAFD97356F20DCCD8DED4AD9858F0FD7582551EDE84A9FFAF374994D156F93F J$=EB9821FAACF28BAEA2BC52BDCF06010792DFBD1A0D8F18E7816F95BE587A0C3BB568B0A9319FBFD2BB784ACC28FFAC9D6CDC89619A340BE3733E31FF6451F40513585B317A3CF3C028305DC5FEF0BAFEC32D7BA80F24D T$=0 [23] Type=4 S$=C218C R$=133E62921B89607C1A76361BD4732CAEAECF6D4051DBF04A45CA806F05941568183352199BF9D19D0B47DA16D589869F4EF8FCBA5082D4CC7B694CD8842958EC3B43A32D329318E0811D7670589107E320AD J$=542D10ED9A3C2ECC69D3E7BE40C95CF5A3C3207015BD3EDE5F68D4DF6A6BAA56BC90B7FD5C1CA3ED70D05EAAA46E35E3A293EE5CDAAEC2DDADFBBD308BD2B10C6B43D9263402050C30A09BFCBB1C28B2DC927A70 T$=0 [24] Type=4 S$=15D2C R$=E1BD83B5F9A00030228F5C7F2DBA442590E067C1DBA309FD89F5F637C51369C06E206C94F7F038227FC7CA7DB3A11D1AAAE6E1D7D896AB848930CF5892B2CBBFA407DF4C0C2A6D76745FA4DF89D9649 J$=-2F428AF820BE51DFF42F37FEF123D5F3D28F65F531FB5B86AE08FC4FE9B55C79F57F64631EA5D725054710CCFA5FB95CD2218B0821732840E174ED54D90F2C9279706F92E8C4D894B7E7188882A9DE8BDAD T$=0 [25] Type=4 S$=1F9B8510 R$=724592466031FAD7F75D64EE4CCEA7F38FCDCDFBC98005AFE0718CB7DD3966A706E46F2059FE1FF4A81ADA797118F74163B8AB36DC5A4AFA4E3B97DF59B2EEB08AC0630966308600D3214DE9 J$=8CB27A03A988D07AC9CB354608E2EC24D8534FA6BB19B2E2D16BA9F7BFAE303A8CC15F51F15732BA63B578879BED1F39A5B9D6417AE910884CEEF14F5D77A8D6019169B40E94B51CE8088F8F04B380 T$=1 [26] Type=1 S$=3C258 R$=1E65F415F255DE4A648901054F07D8F2F4E65A28A91ED6C6884D5B93875232AABD86766507C990F151BC9BD894A9BE3ECCF128004BA488E4A815C58F04EEC405A17B2D6C843A4C193117 B$=2 [27] Type=4 S$=6D03F R$=47624D87EFB199D395F1A380D647C11AD4AAC26CBAE3255BF007E03030559E2E1469BE48071A90DF1F1D0DB0DAD193A5A3660DCC63682635CC6E13B732A9B461CC59E2F8E65E2BD J$=-9C8E1FD583ED39858718E633F9034FD6ED6F1FC9D1181E16DEC12289E155846513EBADECE3ECB9D2C0AFE8BF2EB17D6E093E6E1CDCECF8FC58182C3746E506AB13D670DC178DCFEA3BB T$=2 [28] Type=4 S$=216EFA7446391 R$=22296212D16F68E7CBADE0DE1CC185DCDDDF54EBAB438F29759585DF1240C13F83171D341CCB080413212507917B0DC01B04389E49B39E6DC5B4CC297CF76C57959 J$=176995EE4046EBB35C98F0E1C29EAE8B9025BDF9C3DE39139CC1BADA76E248CC033E27706E60253083B5C56BDB5F80E2246799A1C1385138097B5BED760F1E453FC6F185EA0BBCB T$=1 [29] Type=4 S$=147214A4 R$=1ABBD11CE0EDD42AA3EE4A746006F5E969A821F08F965570CE7DFE3AEA9AF343195A6BA9CB4030A29E072DA025C1A42437D8BB234CC81B83E21264129239 J$=-916F730AA99C58117547A041F4CDC61B0C5C650FDB12C3187DD4A14834FBD609E3E7D6B7F8C5F41E191EFB2AD6847E8E7813AC5622A431683C02503ABE8B395C34 T$=1 [30] Type=4 S$=145FEC R$=14FE5DB9FB5B551830EBFFB0FB01B77EDE40F4D0B129C6979434FAE30E4D901A1E151DF7A7387FC518E8451ECC2F3DDE5A54FF922F37B0E66E7B4A5 J$=-3825DBE7B7186BC765FDA104EEF5B920E8EF8056EC7AECDB7AF3EFFA6A2A8006C690C869A723457030ACC406584237769446243DEDBDC3D00824739B425 T$=1 [31] Type=4 S$=2C3B0 R$=79821B95173FD97A955AA1C4106859DE0084DE37258C58B5259351139BDD5BBED025B9C8A8B04C814344222C6068B45037613AC216718E1599 J$=-64775CDB1FA7A4469EA01F63E7D523D666F246EEE1E587D5CAD34F52AA2719BAE047F80E09E26A9A1A9769695527203B61DACD2273DDE1CAC39E98 T$=1 [32] Type=4 S$=5C R$=1521C203AAFFF94CF89553C90DFBE31B7A86696DC3BF5D5727ED193B0C6E969B51E0993015EE4E2A3CB5A9558760BD53F3DAFE34EA247D7D3 J$=-2F329724967E11E769F27C881D93647DB405535E6DBD93F0ABB9A4B380E7621DFA5448BDB54CD51415C2AC9E01EC9EBE5F602484BA1E18E5CF T$=1 [33] Type=1 S$=11DF27B1E R$=12EB31ED5C94B6B8FBF4327D4792856A81DBEE9E5DF93DFEE89CB6BFFD19C05DD02B4AC79721EF020D6F5A2984B9B8418F5947307 B$=2 [34] Type=4 S$=3D1FD3048D R$=4F3C33B8F34AE5C43D7205F5A4E370AE497B2FA35A5C9D6DA531528ED2693F4C0DFE7742ED4B4AEAC5D7A8AD1D00ECD J$=-77D01B51BB467BDFE1A4A4143E9A793BB7A79697EC475CBD05983DB9DE36296D0E88B835538114C2413CA4CA06060FFC1461F99D T$=1 [35] Type=3 S$=1763B R$=3633D2AC1448B5659A07E359273FED7B96963B8F7CC716F4A0CD875A59C7B533FE6AE451609756136219F5AAF8D A$=0 B$=5 T$=2 [36] Type=3 S$=4440F3 R$=CB4C3721B2ED22E895A4882CEC4496D5BC26D3CA1B2B2D3AA46F1362B80FF8A6C1DF88561B5256DFFC3FB A$=0 B$=5 T$=2 [37] Type=4 S$=66FC R$=1F95C3D130586C4628E1FB22210E6C7EE404F1DE39A61EC3E0B70C5CCCC72B42349ED65C776F6E0597 J$=4CD1F3DAC27BA9502DD3DA7659A9AF9CB45103F3540D1D714CAFF742E2B6465E4671AF0FD040029245697 T$=0 [38] Type=1 S$=3C52A R$=860AAD51114DB59FA321F03B98D645B5EFACA56C180C3277D8ADD22E3E4E1F1F9E0A7874A57DF B$=2 [39] Type=1 S$=359E R$=27FFE75389C53366A844EA2C6AEE963D14AE04870F32279ACAE618BF5AC55C6EBEEBCFA4E1 B$=2 [40] Type=3 S$=AEF9 R$=3A85DB68A63A248EDBAF6DABC37AC7D1FC3A56FA73EAC52582780F2C3B8D0508792EFD A$=0 B$=10 T$=1 [41] Type=3 S$=189B7 R$=260D7476CFFD0B82B0B335C82FCC4978294AA2AEA695F0DFEDCFFD3A8B5BDC21BD A$=0 B$=10 T$=1 [42] Type=3 S$=139 R$=1F1F73B3C85FBAE592F9A0F23FA15BFCDA22E9A3C22F29EEA45227394CAB8009 A$=0 B$=12 T$=1 [43] Type=4 S$=2D31BF1768FC R$=B04B0F97BF743E4866AE8124536A7C65BDC6DB90CDFC461E7E41 J$=8C0302A9B44C183F122E6217F7F6858C0BD78A82BA75FFD3BB48618E478A72F T$=1 [44] Type=3 S$=604145196B19A44 R$=1D4DEB6A21DC2F2B78F1D902564892CE9C7A81 A$=1D B$=0 T$=1 [45] Type=3 S$=957D19EB R$=322F11C8A68E7F5F4D86A074135443 A$=0 B$=10 T$=1 [46] Type=2 S$=CF04 R$=3E0EF6C9549ACE794AFB9DB551 Q$=2 [47] Type=2 S$=5C2864E R$=AC6383A44F1ED0A55AF Q$=B [48] Type=2 S$=110 R$=A23F8AF4FF2C0FAAB Q$=3 [49] Type=2 S$=3A004 R$=2CC1E34A546AB Q$=5 [50] Type=1 S$=1E64C2 R$=178FBD75 B$=2 [51] Type=0 [Signature] 1$=87DC65038D127634527B98510D12363075392DF0 2$=188A2654AA9F0EE6AA528C02541B22F0D0DDE356