Chebyshev Integers, T(n, 2)

maintained by Kyriakos Kefalas

…………………………………………..Table A(1)………………………………………….

n Dig.T
R.F.(2)
Pr.F.(3) Prime factorization of Principal Chebyshev Factors(4)
….. ………. ……………. …………… ……………………………………………………………………………………………………………………………………………………………………………………..
   (Complete listing)
118 68 {1, P} {67, C} 102188878691022266317794769 {27, P} • 21591307348265598904681684665830960450929 {41, P}
128 73 {73, C} 113210499946729046527 {21, P} • 71510428488234435849323250891975205208728978040847871 {53, P}
130 75 {20, C} {55, C} 243582360047687753041 {21, P} • 1661356314195691726968679 {25, P}
133 76 {14, C} {62, C} 269729747156511068099737 {24, P} • 3859802766659496696887895730201 {31, P}
136 78 {5, C} {74, C} 10877534132992424167327 {23, P} • 60817744424988778508734502500006687 {35, P}
139 80 {1, P} {79, C} 156180591018565165753 {21, P} • 133746583364830655468903617 {27, P} • 379087406651439519562131816992461 {33, P}
142 81 {1, P} {81, C} 599955548842702249633 {21, P} •11550169460592655520379946560034942920284917763377 {50, P}
146 84 {1, P} {83, C} 1880678238403581484491261600488335063 {37, P} • 12131078272029453254528593283997361448667051367 {47, P}
148 85 {2, P} {83, C} 614193942517305177421555804 {28, P} • 5136640406764307108372953769758207045239247 {43, P}
154 88 {20, C} {69, C} 176813032759737854295 {22, P} • 2904530654056946664289 {22, P}
160 92 {19,C} {74, C} 1042034547604190883199 {22, P} • 12856056506888968177921 {23, P}
161 92 {17, C} {76, C} 1710849933396087158712626989 {28, P} • 7810798100912303640633932632430977751281 {40, P}
164 94 {2, P} {92, C} 851403611338235012046288062542 {31, P} •
3814701653343059730290752781660649573475765280354838193718767 {61, P}
167 96 {1, P} {95, C} 530953763708349249157 {21, P} • 51493681379987478200067949 {26, P} • 57711360528941727488153269 {26, P}
169 97 {8, C} {90, C} 536808469478363625497076689963293 {33, P} • 388266948657205000196610621577360284591566809 {45, P}
170 97 {24, C} {74, C} 349674066078389300358879596135162599 {36, P} • 46543131634935019743292642253042223319 {38, P}
177 101 {35, C} {67, C} 74113594958273454399769 {23, P} • 602997785187541386830172696853 {30, P}
179 103 {1, P} {102, C} 1410704941623212749180509448849203553 {37, P} •
123101402761204502429235948260894106458261757162984619981 {57, P}
181 104 {1, P} {103, C} 22612303316549921955649 {23, P} • 20346076411311141529596148799209 {32, P} •
10194941082739959944786501964065321641 {38, P}
182 104 {22, C} {83, C} 22171679723961255127639 {23, P} • 408259858096995003212254231 {27, P}
183 105 {36, C} {69, C} 101771451894666951517 {21, P} • 4489236611399412867817 {22, P}
184 105 {5, C} {101, C} 83504910063254355152314674853057 {32, P} • 12245768963181618010177061755775710191343781288833 {50, P}
187 107 {16, C} {92, C} 122764426713533109621601 {24, P} • 542335339590844221859894306601654838805529095192005401155830157 {63, P}
190 109 {27, C} {83, C} 183037732137870632028001 {24, P} • 29802536720412176922772518883399 {32, P}
191 109 {1, P} {109, C} 64641219352350327261451767229 {29, P} • 3482662796642317452175946128021 {31, P} •
294726533906827836911612568710574340135381 {42, P}
194 111 {1, P} {110, C} 1350985378714211627397366335233 {31, P} •
418522060314067084468599763986421257876349495460262776325964898515879 {69, C}
195 112 {57, C} {55, C} 469461636939541933441 {21, P} • 463542493783978248618421 {24, P}
196 112 {16, C} {97, C} 8856898638128517931037884132187407 {34, P} •
138008651114503275321896015167289660561210863357819934068899823 {63, P}
….. ………. ……………. …………… ……………………………………………………………………………………………………………………………………………………………………………………..
   (Complete listing)
201 115 {46, C} {76, C} 10893735673942160458447202038009 {32, P} • 209163396128611599239409371425326040741 {39, P}
202 116 {1, P} {115, C} 138022490460183447411646716693398032155319 {42, P} •
9677735093429205074237846102281279959956181725239 {49, P}
203 116 {20, C} {97, C} 6388130622590185729698901 { 25, P} •
2933578511948607974684485769059989388600750863155307498497105269 {64, P}
204 117 {52, C} {74, C} 52825978552745652990756921601 {29, P} • 650610014005839499363685985476867041 {36, P}
209 120 {30, C} {103, C} 1282648293795088952321092 {26, P} •
92066349104364856219393228363457731934163193140402758572831818697 {65, P}
211 121 {1, P} {121, C} 42017343878266243097450255917 {29, P} •
41694576854275644900972310429695755959898154138393285692892058799665665189928762777 {83, P}
212 121 {2, P} {119, C} 3139429833286612384234273 {25, P} • 131463639196428343932290212186639 {33, P} • 223574318633318160248546049749358436039664307362857356504625423 {63, P}
213 122 {42, C} {91, C} 7349209259705835245639137 {25, P} • 6240636336053504168283101026417 {31, P}
214 123 {1, P} {122, C} 100078823009822324364535173658 {31, P} •
1198313435955404395061868088438658959775496794601423160706890509440809088791210561 {82, P}
215 123 {27, C} {97, C} 214079012226196800006134766562021 {33, P} •
6119634842388490223481101924574567717378644012544430057269157741 {64, P}
217 124 {21, C} {103, C} 4275774578542414154973781 {25, P} • 427594212273989058715633230369666829691215057 {45, P}
219 125 {43, C} {83, C} 114870720429232571320189 {24, P} • 565159418928914618964850815971663766280081 {42, P}
222 127 {45, C} {83, C} 56010823911681273661716347897660737 {35, P} • 19309151047127425306713638996867415262181761 {44, P}
226 129 {1, P} {129, C} 210175408112757584432646043441 {30, P} •
1138736902202461732449384684730779918680805502468066110644171143159 {67, P}
227 130 {1, P} {130, C} 328431970661201696599866549108283784147345073829 {48, P} • 5171158775431581266096251312396507541183799800641125431012413771903194902831425129 {82, P}
229 131 {1, P} {131, C} 3646238814845821449254975766088091661567813084660374291576823842558848867698526709501322548479360\
7642778573115495780730917 {122, C}
232 133 {5, C} {129, C} 7813010545757699148858474079 {28, P} • 78946812578036702558796752016024681567551351419812496182642562603967830612256526042538458433 {92, P}
237 136  {46, C}
{90, C} 73513426244539419404823937669 {29, P} • 117466195444810090141254424699506197769722917 {45, P}
239 137 {1, P} {137, C} 22889030469882740181437559409 {29, P} • 99411300231913228756116538984406106540132541888104249005129492039847707124992545603191223573130181\
53173 {103, P}
241 138 {1, P} {138, C} 17903209129732797403581929366869 {32, P} • 1856983710295071076125506437393176293463601 {43, P} • 62018999257927351105385331692526806070684632655073 {50, P}
244 140 {2, P} {138, C} 574842896955742296086228677461633126184129 {42, P} • 40377479362705674155544068551320322258407581242003370963329 {59, P}
247 141 {18, C} {124, C} 254606512831422748532953 {24, P} • 14618849742341238581089940600867967164025349741571410032244412504599252704236757006530210937233940\
457 {101, P}
248 142 {5, C} {138, C} 1148114235103482149080828112867113951 {37, P} • 5247965335512417256825472334074865847073010343145669731391201549548594732319100345784046888294431 {97, P}
249 143 {49, C} {94, C} 84463273602217152572975643781 {29, P} • 297133273075794083247665523023529400111535989 {45, P}
253 145 {19, C} {126, C} 85879436746371515334917413 {26, P} • 239302767639261807888628838551282061960387280299706675658297763365703082569257561 {81, P}
255 146 {73, C} {74, C} 24839933890511610173672101 {26, P} • 12797290521563858089361646441454896121 {38, P}
256 147 {147, C} 3867637345756894712411491994657791 {34, P} • 4141173562324283362391211134773751434933274141271057666869711137355139870107549772907161419207982\
079 {100, P}
257 147 {1, P} {147, C} 34282197269895895683653200789 {29, P} • 5495279857048999238328909761135257 {34, P} • 15646923453587883398029561030121701 {35, P} • 17072637443627429322370647823522045262641 {41, P}
258 148 {52, C} {97, C} 72030753293693268586321 {23, P} • 39922879250468231312884944988237366758878482714885558714430491101889 {68, P}
259 148 {25, C} {124, C}  20231373534500846108497 {23, P} • 133565261553353823721921 {24, P} • 157929919166108060257496082009947554268020339625213486581 {57, P}
260 149 {39, C} {110, C} 1370746101043064798869441 {25, P} • 277291038009954692169941476801 {30, P} • 21753694740057661169959149963042522504999361 {44, P}
261 149 {53, C} {97, C} 12212146340980853459041 {23, P} • 730549802302841360363761 {24, P}
262 150 {1, P} {149, C} 7343123622089638863128681578887873009227658073452062680537698438139474131877517652480092519888888\
59606078915875592233323789581448954565271 {138, C}
263 151 {1, P} {150, } 615383733840887765796432697033592113 {36, P} • 1556053144207340162526192876224854980879344088753235453232191538200360404621613756322951588835301 {97, P}
264 151 {60, C} {92, C} 88617512097170252023907168418794287681 {38, P} • 516530801096475095273310169287490843407279553 {45, P}
267 153 {52, C} {101, P} 12289994986777581344310248149 {29, P} • 3784756269718511294553764122381009 {34, P}
268 153 {2, P} {151, C} 182046148116238532459955261061519 {33, P} • 733615967124747631713811728987853037244398307165744991004149363097972551697470526332385345028424930\
20367 {104, P}
271 155 {1, P} {155, C} 45160414763408295800576298277 {29, P} • 55076643857284370914059575032072379500876789340644910585176142823407443988665548816863726041927179\
4502364903344531125978784413 {126, P}
272 156 {9, P} {147, C} 570262229321929824871858839122891676716126463565895757793607870653597282165957653592803888395593959\
868233879964970398426621091298635839 {135, C}
274 157 {1, P} {156, C} 341627912065091307448334667050318859385634768586788316700780583064468791723150253201569183358732936\
25368987302325595540395069389863
{131, C}
276 158 {57, C} {101, C} 2061375399767479315144059358935929227370845249 {46, P} • 22316332152449283799460415582183858293111673139738504129 {56, P}
277 159 {1, P} {158, C} 5250383471789530020833642024141113892029 {40, P} • 70434926699289692296597267122868771176108751654382727001778548076727526371929946883284696049741 {95, P}
278 159 {1, P} {158, C} 304967531762663952644464968439 {30, P} • 490526649363427592170216298257505022933575854897 {48, C} • 216550057254135981375655373450165255559829249108247033764118497 {63, P}
279 160 {57, C} {103, C} 8997751861853087793601 {22, P} • 41409280464953711677529512640992993 {35, P}
281 161 {1, P} {161, C} 2243104627652598595992240431956195406249917 {43, P} • 5812344326106128363137869184502702899316123599092086875497117328662858964059057277021329568506347054\
364805902456282733 {118, P}
282 161 {56, C} {106, C} 2694031609235950507345441 {25, P} • 131022307409079829221528786890045169680892572977 {48, P}
283 162 {1, P} {162, C} 1069381578737645871668689660203304112324378067881962908274476673775439217577926462485397683425912343\
2812649444808310225003724611834463621631935379376505511361 {158, C}
284 163 {2, P} {161, C} 1599472197708557324623488350689 (31, P} • 873625041348468241803837345297181524801996920388120471406471473684629653960989934335201574500277\
3251369594215483210504469610433569  {130, P}

288 165 {55, C} {110, C} 1507857764731530478975383553 {28, P} • 962278190453685353663514050122267923850413287129728513 {54, P}
290 166 {38, C} {129, C} 5538986939882352927646460946163879 {34, P} • 14155833330319521326036549143274881346481058276208284948391035436586920650493676438199 {86, P}
291 167  {57, C} {110, C} 76506618337298547170881 {23, P} • 91689775919601717395088286970517821012533 {41, P}
292 167 {2, P} {165, c} 13178448220406635778053509079318036088829047903148478733113718048279929605139656484586148028695520\
0988182725983852951781375570372486805688681519577409 {150, C}
293 168 {1, P} {167, C} 95185640356968006741946552866241663517536768850882974523476419016473905930840271036553986075237689\
403826805987387704932992320679533629197963590972783611242047527784021 {167, C}
295 169 {36, C} {133, C} 35488200910488848992036673289104688901 {38, C} • 595473103428861705799752439197154542357376681 {45, P}
296 169 {5, C} {165, C} 269427014006449040896897 {24, P} • 549499583589012855321690552694817079491538600010886268461301198285233527707117599967543252350044029\
49621840003624102214014477012042118593 {137, C}
297 170 {67, C} {103, C} 286285183565952202633 {21, P} • 1264994515291382634963139083692678451095083465777 {49, P}
298 171 {1, P} {170, C} 9059071268851055671750484478398127103148861714216855883210815436362582682071642546014642876986375190\
1423378068243132739881160741857 {131, C}
….. ………. ……………. …………… ……………………………………………………………………………………………………………………………………………………………………………………..
  (Selected results)
302 173 {1, P} {172, C} 606398068809030209762859537117246581169546640291796585609576129694993222678184162767838695739454390\
0041785472374008230206132479954894031889 {139, C}
303 173 {59, C} {115, C} 137524177395799140082238119199269 {33, P} • 144625113876201035174518995328933 {33, P}
306 175 {65, C} {110, C} 6346547083128692306017 {22, P} • 761473228085142771712574017 {27, P} • 5800266148120093711586117809 {28, P}
310 178 {40, C} {138, C} 2488364180683973664463787851144060901616581706318528553903151944577111324598822824674054573048331323\
3315984889843479386199 {122, C}
311 178 {1, P} {178, C} 276284553749983308693886616554957287074279974915507097365655730984006582568275697447466182561901653\
5776727409186156995819429300032491075188034515664492511080989658237 {166, C}
312 179 {87, C} {110, C} 93504507143162382104449 {23, P} • 364583600118150836250230209 {27, P} • 939329698733482646489994012605551610386369 {42, P}
….. ………. ……………. …………… ……………………………………………………………………………………………………………………………………………………………………………………..

(1) Chebyshev integers missing from Table A are either in Table B or have too small prime principal factors (applicable to complete sections only).
(2) Digits and primality of the regular factor (RF).
(3) Digits and primality of principal factor (PF).
(4) Only prime factors with 21 or more digits are shown. Critical prime factors are shown in blue. Composite factors are shown in red. Inside brackets are the number of digits and primality.

 

Table B – Chebyshev integers with prime principal factor

List of indices of Chebyshev integers, , whose main principal factor is prime.

1
2
3
4
5
13
16
17
18
19
65
79
86
94
104
199
221
233
234
251
556
642
754
804
863
6
7
10
11
12
22
24
25
35
42
119
120
121
151
172
317
366
448
505
538
894
910
946
971
973
                                                                                      .

 

Created 1.4.2019