(15:19:25) Athena: Do you know what is special about 196? (15:19:45) CERisE8192: It's 14^2 (15:19:56) Athena: well, there's that (15:20:37) Athena: But also, it's not a palindromic number, and never becomes one no matter how many times you flip the digits and add it to itself (15:20:49) Athena: Every positive integer that comes before it is (15:20:56) Athena: In base 10 at least (15:21:02) Athena: brb (15:23:43) CERisE8192: Hmm. I'm not certain if I believe that. What differentiates it from 169 (13^2)? (15:32:21) Athena: 169 + 961 = 1130 (15:32:45) Athena: 1130 + 0311 = 1441 (15:32:49) Athena: see? (15:32:58) CERisE8192: Oh! That sort of flipping digits. (15:33:04) CERisE8192: Hmm. I'm not sure if I believe that. (15:33:14) Athena: just try (15:33:22) Athena: 196 never becomes palindromic (15:35:12) Athena: 196 + 691 = 887 (15:35:44) Athena: 887 + 788 = 1675 (15:36:13) CERisE8192: Tsk. This is precisely what computers are good at. (15:36:22) Athena: yeah good point
Turn 1: 196 + 691 = 887
Turn 2: 887 + 788 = 1675
Turn 3: 1675 + 5761 = 7436
Turn 4: 7436 + 6347 = 13783
Turn 5: 13783 + 38731 = 52514
Turn 6: 52514 + 41525 = 94039
Turn 7: 94039 + 93049 = 187088
Turn 8: 187088 + 880781 = 1067869
Turn 9: 1067869 + 9687601 = 10755470
Turn 10: 10755470 + 7455701 = 18211171
Turn 11: 18211171 + 17111281 = 35322452
Turn 12: 35322452 + 25422353 = 60744805
Turn 13: 60744805 + 50844706 = 111589511
Turn 14: 111589511 + 115985111 = 227574622
Turn 15: 227574622 + 226475722 = 454050344
Turn 16: 454050344 + 443050454 = 897100798
Turn 17: 897100798 + 897001798 = 1794102596
Turn 18: 1794102596 + 6952014971 = 8746117567
Turn 19: 8746117567 + 7657116478 = 16403234045
Turn 20: 16403234045 + 54043230461 = 70446464506
Turn 21: 70446464506 + 60546464407 = 130992928913
Turn 22: 130992928913 + 319829299031 = 450822227944
Turn 23: 450822227944 + 449722228054 = 900544455998
Turn 24: 900544455998 + 899554445009 = 1800098901007
Turn 25: 1800098901007 + 7001098900081 = 8801197801088
Turn 26: 8801197801088 + 8801087911088 = 17602285712176
Turn 27: 17602285712176 + 67121758220671 = 84724043932847
Turn 28: 84724043932847 + 74823934042748 = 159547977975595
Turn 29: 159547977975595 + 595579779745951 = 755127757721546
Turn 30: 755127757721546 + 645127757721557 = 1400255515443103
Turn 31: 1400255515443103 + 3013445155520041 = 4413700670963144
Turn 32: 4413700670963144 + 4413690760073144 = 8827391431036288
Turn 33: 8827391431036288 + 8826301341937288 = 17653692772973576
Turn 34: 17653692772973576 + 67537927729635671 = 85191620502609247
Turn 35: 85191620502609247 + 74290620502619158 = 159482241005228405
Turn 36: 159482241005228405 + 504822500142284951 = 664304741147513356
Turn 37: 664304741147513356 + 653315741147403466 = 1317620482294916822
Turn 38: 1317620482294916822 + 2286194922840267131 = 3603815405135183953
Turn 39: 3603815405135183953 + 3593815315045183063 = 7197630720180367016
Turn 40: 7197630720180367016 + 6107630810270367917 = 13305261530450734933
Turn 41: 13305261530450734933 + 15496961329806698715 = 10355478786547882032
Turn 42: 10355478786547882032 + 4582130495077903685 = 14937609281625785717
Turn 43: 14937609281625785717 + 16418520397162019093 = 12909385605078253194
Turn 44: 12909385605078253194 + 12241798903239287689 = 6704440434607989267
Turn 45: 6704440434607989267 + 7629897064340444076 = 14334337498948433343
Turn 46: 14334337498948433343 + 15886740915763791725 = 11774334341002673452
Turn 47: 11774334341002673452 + 6990875940633796095 = 318466207926917931
Turn 48: 318466207926917931 + 139719629702664813 = 458185837629582744
Turn 49: 458185837629582744 + 447285926738581854 = 905471764368164598
Turn 50: 905471764368164598 + 895461863467174509 = 1800933627835339107
Turn 51: 1800933627835339107 + 7019335387263390081 = 8820269015098729188
Turn 52: 8820269015098729188 + 8819278905109620288 = 17639547920208349476
Turn 53: 17639547920208349476 + 12154147981845938823 = 11346951828344736683
Turn 54: 11346951828344736683 + 1770256235396861079 = 13117208063741597762
Turn 55: 13117208063741597762 + 8332770662370719515 = 3003234652402765661
Turn 56: 3003234652402765661 + 1665672042564323003 = 4668906694967088664
Turn 57: 4668906694967088664 + 4668807694966098664 = 9337714389933187328
Turn 58: 9337714389933187328 + 8237813399834177339 = 17575527789767364667
Turn 59: 17575527789767364667 + 2859400503934351107 = 1988184219992164158
Turn 60: 1988184219992164158 + 8514612999124818891 = 10502797219116983049
Turn 61: 10502797219116983049 + 1805240822731962421 = 12308038041848945470
Turn 62: 12308038041848945470 + 7454984814083080321 = 1316278782222474175
Turn 63: 1316278782222474175 + 5714742222878726131 = 7031021005101200306
Turn 64: 7031021005101200306 + 6030021015001201307 = 13061042020102401613
Turn 65: 13061042020102401613 + 13163676028314464415 = 7777973974707314412
Turn 66: 7777973974707314412 + 2144137074793797777 = 9922111049501112189
Turn 67: 9922111049501112189 + 9812111059401112299 = 1287478035192672872
Turn 68: 1287478035192672872 + 2782762915308747821 = 4070240950501420693
Turn 69: 4070240950501420693 + 3960241050590420704 = 8030482001091841397
Turn 70: 8030482001091841397 + 7931481901002840308 = 15961963902094681705
Turn 71: 15961963902094681705 + 13825160873517813719 = 11340380701902943808
Turn 72: 11340380701902943808 + 7047944615870097847 = 18388325317773041655
Turn 73: 18388325317773041655 + 273805550223733533 = 215386794287223572
Turn 74: 215386794287223572 + 275322782497683512 = 490709576784907084
Turn 75: 490709576784907084 + 480709487675907094 = 971419064460814178
Turn 76: 971419064460814178 + 871418064460914179 = 1842837128921728357
Turn 77: 1842837128921728357 + 7538271298217382481 = 9381108427139110838
Turn 78: 9381108427139110838 + 8380119317248011839 = 17761227744387122677
Turn 79: 17761227744387122677 + 3835202049934010307 = 3149685720611581368
Turn 80: 3149685720611581368 + 8631851160275869413 = 11781536880887450781
Turn 81: 11781536880887450781 + 258734735153967095 = 12040271616041417876
Turn 82: 12040271616041417876 + 12531181840488549173 = 6124709382820415433
Turn 83: 6124709382820415433 + 3345140282839074216 = 9469849665659489649
Turn 84: 9469849665659489649 + 9469849565669489649 = 492955157619427682
Turn 85: 492955157619427682 + 286724916751559294 = 779680074370986976
Turn 86: 779680074370986976 + 679689073470086977 = 1459369147841073953
Turn 87: 1459369147841073953 + 3593701487419639541 = 5053070635260713494
Turn 88: 5053070635260713494 + 4943170625360703505 = 9996241260621416999
Turn 89: 9996241260621416999 + 9996141260621426999 = 1545638447533292382
Turn 90: 1545638447533292382 + 2832923357448365451 = 4378561804981657833
Turn 91: 4378561804981657833 + 3387561894081658734 = 7766123699063316567
Turn 92: 7766123699063316567 + 7656133609963216677 = 15422257309026533244
Turn 93: 15422257309026533244 + 7340073942956119219 = 4315587178273100847
Turn 94: 4315587178273100847 + 7480013728717855134 = 11795600906990955981
Turn 95: 11795600906990955981 + 509165887191108095 = 12304766794182064076
Turn 96: 12304766794182064076 + 11705795928638085473 = 5563818649110597933
Turn 97: 5563818649110597933 + 3397950119468183655 = 8961768768578781588
Turn 98: 8961768768578781588 + 8851878758678671698 = 17813647527257453286
Turn 99: 17813647527257453286 + 12895243051445977023 = 12262146504993878693
Turn 100: 12262146504993878693 + 2794351793145022989 = 15056498298138901682
Turn 101: 15056498298138901682 + 10164239115579913435 = 6773993340009263501
Turn 102: 6773993340009263501 + 1053629000433993776 = 7827622340443257277
Turn 103: 7827622340443257277 + 7727523440432267287 = 15555145780875524564
Turn 104: 15555145780875524564 + 9649069661335052319 = 6757471368501025267
Turn 105: 6757471368501025267 + 7625201058631747576 = 14382672427132772843
Turn 106: 14382672427132772843 + 16380979098718076725 = 12316907452141297952
Turn 107: 12316907452141297952 + 7532470051761409705 = 1402633430193156041
Turn 108: 1402633430193156041 + 1406513910343362041 = 2809147340536518082
Turn 109: 2809147340536518082 + 2808156350437419082 = 5617303690973937164
Turn 110: 5617303690973937164 + 4617393790963037165 = 10234697481936974329
Turn 111: 10234697481936974329 + 114243549931885121 = 10348941031868859450
Turn 112: 10348941031868859450 + 5495886813014984301 = 15844827844883843751
Turn 113: 15844827844883843751 + 15734838844872844851 = 13132922616047136986
Turn 114: 13132922616047136986 + 13622941840494268283 = 8309120382831853653
Turn 115: 8309120382831853653 + 3563581382830219038 = 11872701765662072691
Turn 116: 11872701765662072691 + 1180282583001176195 = 13052984348663248886
Turn 117: 13052984348663248886 + 13544004463220270183 = 8150244738173967453
Turn 118: 8150244738173967453 + 3547693718374420518 = 11697938456548387971
Turn 119: 11697938456548387971 + 17978384565483979611 = 11229578948322815966
Turn 120: 11229578948322815966 + 11611590163858937363 = 4394425038472201713
Turn 121: 4394425038472201713 + 3171022748305244934 = 7565447786777446647
Turn 122: 7565447786777446647 + 7466447776877445657 = 15031895563654892304
Turn 123: 15031895563654892304 + 3436357489140709819 = 21508979086050507
Turn 124: 21508979086050507 + 70505068097980512 = 92014047184031019
Turn 125: 92014047184031019 + 91013048174041029 = 183027095358072048
Turn 126: 183027095358072048 + 840270853590720381 = 1023297948948792429
Turn 127: 1023297948948792429 + 9242978498497923201 = 10266276447446715630
Turn 128: 10266276447446715630 + 3651764474467266201 = 13918040921913981831
Turn 129: 13918040921913981831 + 13818931912904081931 = 9290228761108512146
Turn 130: 9290228761108512146 + 6412158011678220929 = 15702386772786733075
Turn 131: 15702386772786733075 + 1693536506639665903 = 17395923279426398978
Turn 132: 17395923279426398978 + 14202386202394752907 = 13151565408111600269
Turn 133: 13151565408111600269 + 3966890811908757051 = 17118456220020357320
Turn 134: 17118456220020357320 + 2375302002265481171 = 1047014148576286875
Turn 135: 1047014148576286875 + 5786826758414107401 = 6833840906990394276
Turn 136: 6833840906990394276 + 6724930996090483386 = 13558771903080877662
Turn 137: 13558771903080877662 + 8231063957208233915 = 3343091786579559961
Turn 138: 3343091786579559961 + 1699559756871903433 = 5042651543451463394
Turn 139: 5042651543451463394 + 4933641543451562405 = 9976293086903025799
Turn 140: 9976293086903025799 + 9975203096803926799 = 1504752109997400982
Turn 141: 1504752109997400982 + 2890047999012574051 = 4394800109009975033
Turn 142: 4394800109009975033 + 3305799009010084934 = 7700599118020059967
Turn 143: 7700599118020059967 + 7699500208119950077 = 15400099326140010044
Turn 144: 15400099326140010044 + 7107516014979897219 = 4060871267410355647
Turn 145: 4060871267410355647 + 7465530147621780604 = 11526401415032136251
Turn 146: 11526401415032136251 + 15263123051410462511 = 8342780392733047146
Turn 147: 8342780392733047146 + 6417403372930872438 = 14760183765663919584
Turn 148: 14760183765663919584 + 11698448509319003509 = 8011888201273371477
Turn 149: 8011888201273371477 + 7741733721028881108 = 15753621922302252585
Turn 150: 15753621922302252585 + 3184988101783980903 = 491865950376681872
Turn 151: 491865950376681872 + 278186673059568194 = 770052623436250066
Turn 152: 770052623436250066 + 660052634326250077 = 1430105257762500143
Turn 153: 1430105257762500143 + 3410052677525010341 = 4840157935287510484
Turn 154: 4840157935287510484 + 4840157825397510484 = 9680315760685020968
Turn 155: 9680315760685020968 + 8690205860675130869 = 18370521621360151837
Turn 156: 18370521621360151837 + 28130017774300917 = 18398651639134452754
Turn 157: 18398651639134452754 + 8831955046196586149 = 8783862611621487287
Turn 158: 8783862611621487287 + 7827841261162683878 = 16611703872784171165
Turn 159: 16611703872784171165 + 776916506702056813 = 17388620379486227978
Turn 160: 17388620379486227978 + 14185292202464481907 = 13127168508241158269
Turn 161: 13127168508241158269 + 4051393912038414051 = 17178562420279572320
Turn 162: 17178562420279572320 + 2327597202426587171 = 1059415548996607875
Turn 163: 1059415548996607875 + 5787066998455149501 = 6846482547451757376
Turn 164: 6846482547451757376 + 6737571547452846486 = 13584054094904603862
Turn 165: 13584054094904603862 + 8383896875335496915 = 3521206896530549161
Turn 166: 3521206896530549161 + 1619450356986021253 = 5140657253516570414
Turn 167: 5140657253516570414 + 4140756153527560415 = 9281413407044130829
Turn 168: 9281413407044130829 + 9280314407043141829 = 114983740377721042
Turn 169: 114983740377721042 + 240127773047389411 = 355111513425110453
Turn 170: 355111513425110453 + 354011524315111553 = 709123037740222006
Turn 171: 709123037740222006 + 600222047730321907 = 1309345085470543913
Turn 172: 1309345085470543913 + 3193450745805439031 = 4502795831275982944
Turn 173: 4502795831275982944 + 4492895721385972054 = 8995691552661954998
Turn 174: 8995691552661954998 + 8994591662551965998 = 17990283215213920996
Turn 175: 17990283215213920996 + 14562699030109555123 = 14106238171613924503
Turn 176: 14106238171613924503 + 12096187543473708525 = 7755681641378081412
Turn 177: 7755681641378081412 + 2141808731461865577 = 9897490372839946989
Turn 178: 9897490372839946989 + 9896499382730947989 = 1347245681861343362
Turn 179: 1347245681861343362 + 2633431681865427431 = 3980677363726770793
Turn 180: 3980677363726770793 + 3970776273637760893 = 7951453637364531686
Turn 181: 7951453637364531686 + 6861354637363541597 = 14812808274728073283
Turn 182: 14812808274728073283 + 1343594599861718609 = 16156402874589791892
Turn 183: 16156402874589791892 + 11373054474110913545 = 9082713274991153821
Turn 184: 9082713274991153821 + 1283511994723172809 = 10366225269714326630
Turn 185: 10366225269714326630 + 3662341796252266301 = 14028567065966592931
Turn 186: 14028567065966592931 + 13929566956076582041 = 9511389948333623356
Turn 187: 9511389948333623356 + 6533263338499831159 = 16044653286833454515
Turn 188: 16044653286833454515 + 14651945720816540829 = 12249854933940443728
Turn 189: 12249854933940443728 + 8947428639107687757 = 2750539499338579869
Turn 190: 2750539499338579869 + 9689758339949350572 = 12440297839287930441
Turn 191: 12440297839287930441 + 14403978293879204421 = 8397532059457583246
Turn 192: 8397532059457583246 + 6423857549502357938 = 14821389608959941184
Turn 193: 14821389608959941184 + 11221507833279209609 = 7596153368529599177
Turn 194: 7596153368529599177 + 7719959258633516957 = 15316112627163116134
Turn 195: 15316112627163116134 + 6267648025202058119 = 3137016578655622637
Turn 196: 3137016578655622637 + 7362265568756107313 = 10499282147411729950
Turn 197: 10499282147411729950 + 5992711474128299401 = 16491993621540029351
Turn 198: 16491993621540029351 + 15392004512639919461 = 13437254060470397196
Turn 199: 13437254060470397196 + 13839075184916618583 = 8829585171677464163
Turn 200: 8829585171677464163 + 3614647761715859288 = 12444232933393323451
Turn 201: 12444232933393323451 + 15432339333923244421 = 9429828193607016256
Turn 202: 9429828193607016256 + 6526107063918289249 = 15955935257525305505
Turn 203: 15955935257525305505 + 13656864427834852719 = 11166055611650606608
Turn 204: 11166055611650606608 + 6873629316816859647 = 18039684928467466255
Turn 205: 18039684928467466255 + 18372988335529589849 = 17965929190287504488
Turn 206: 17965929190287504488 + 14653601914354750507 = 14172787030932703379
Turn 207: 14172787030932703379 + 5097003534530969061 = 823046491754120824
Turn 208: 823046491754120824 + 428021457194640328 = 1251067948948761152
Turn 209: 1251067948948761152 + 2511678498497601521 = 3762746447446362673
Turn 210: 3762746447446362673 + 3762636447446472673 = 7525382894892835346
Turn 211: 7525382894892835346 + 6435382984982835257 = 13960765879875670603
Turn 212: 13960765879875670603 + 12160913824147155315 = 7674935630313274302
Turn 213: 7674935630313274302 + 2034723130365394767 = 9709658760678669069
Turn 214: 9709658760678669069 + 9609668760678569079 = 872583447647686532
Turn 215: 872583447647686532 + 235686746744385278 = 1108270194392071810
Turn 216: 1108270194392071810 + 181702934910728011 = 1289973129302799821
Turn 217: 1289973129302799821 + 1289972039213799821 = 2579945168516599642
Turn 218: 2579945168516599642 + 2469956158615499752 = 5049901327132099394
Turn 219: 5049901327132099394 + 4939902317231099405 = 9989803644363198799
Turn 220: 9989803644363198799 + 9978913634463089899 = 1521973205116737082
Turn 221: 1521973205116737082 + 2807376115023791251 = 4329349320140528333
Turn 222: 4329349320140528333 + 3338250410239439234 = 7667599730379967567
Turn 223: 7667599730379967567 + 7657699730379957667 = 15325299460759925234
Turn 224: 15325299460759925234 + 6359507559080149119 = 3238062946130522737
Turn 225: 3238062946130522737 + 7372250316492608323 = 10610313262623131060
Turn 226: 10610313262623131060 + 6013132626231301601 = 16623445888854432661