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{62921,1}, {513239,1}, {83251631,1}, {182521213001,1}, {1300635692678058358830121,1}, {2495283264895779020253203931608951,1}, {6069650333889644423896816835276507778804898705650161138729963603757211141984131085449988328049514249213169785004014797295919583814686411189300687347453551,1}}, {{3,1}, {7,1}, {11,1}, {13,1}, {37,1}, {47,1}, {101,1}, {139,1}, {277,1}, {829,1}, {1289,1}, {2531,1}, {9901,1}, {31051,1}, {1569889,1}, {18371524594609,1}, {143574021480139,1}, {203864078068831,1}, {549797184491917,1}, {536430531035337769,1}, {757108543129939106221,1}, {11111111111111111111111,1}, {24649445347649059192745899,1}, {1595352086329224644348978893,1}, {4181003300071669867932658901,1}, {19108466176791400681292709171992566565029,1}}, {{1016157022810759,1}, {102092644289739525085919338335107091799,1}, {327650532696035587659287570766072667236893650986365027,1}, {1791947410655996336975059053251127469487134368847917252099082548089,1}, {18241732237793449716631178477563590797706634026955480055027758012372774897134896974103171504923719886357,1}}, {{11,1}, {557,1}, {2503,1}, {119124859925363,1}, {9327281575040435942820030416618073853906181206383845973140973454310325710523151012873614569275960380714495413018734336834397,1}, {652065570931334169846518762110895357104035953330623783530923329412897765703841859492780362601926814638167836591846272150911969126521,1}}, {{3,2}, {37,1}, {2791,1}, {333667,1}, {6943319,1}, {18989357081041,1}, {57336415063790604359,1}, {1986554577939642346080445591065987383029299397551517,1}, {900900900900900900900900900900990990990990990990990990990991,1}, {26482240558849649428997839294200400073279400076391385974040639424711652653275956393124643579489053184768787972981533,1}}, {{11,1}, {29,1}, {41,1}, {71,1}, {73,1}, {101,1}, {137,1}, {239,1}, {271,1}, {281,1}, {421,1}, {3541,1}, {4649,1}, {7841,1}, {9091,1}, {27961,1}, {123551,1}, {851761,1}, {909091,1}, {1676321,1}, {3471301,1}, {4147571,1}, {13489841,1}, {121499449,1}, {5964848081,1}, {60368344121,1}, {102598800232111471,1}, {265212793249617641,1}, {127522001020150503761,1}, {848654483879497562821,1}, {1174155661036370531158387153086358732085761158354280249987966107746175275693416345665039841,1}}, {{563, 1}, {2597610354323, 1}, {380431988961690791, 1}, {133355295524380732608674846305692470329, 1}, {6094463724238514393536486476811741232272703852684691428123942057856885180480111114373298517228174199, 1}, {24572667187030742323689266735632540756671723462383546166209137482283858012690253572647496100404508005527506599, 1}}, {{3, 1}, {7, 1}, {11, 1}, {13, 1}, {37, 1}, {283, 1}, {6299, 1}, {344887, 1}, {9127213, 1}, {35121409, 1}, {4855067598095567, 1}, {721030498171501831, 1}, {1160803383934463712259, 1}, {297262705009139006771611927, 1}, {316362908763458525001406154038726382279, 1}, {30073566270559048948142559741512708796590524703892560552659, 1}, {441506346488360048482114135141919313523563714948107161215664533500695867, 1}}};

Length[repfactors]

282

...that is, from FactorInteger[R1], which Mathematica equates to {}, to FactorInteger[R282].

Union[Table[tr=Transpose[repfactors[[i]]];Apply[Times,First[tr]^Last[tr]]==(10^i-1)/9,{i,2,Length[repfactors]}]]
composites=Flatten[Position[Table[Count[PrimeQ[First[Transpose[repfactors[[i]]]]],False],{i,1,Length[repfactors]}],1]]

{True}
{}

 

16 July 2013 © Rarebit Dreams