Appendixes

Appendix A: All 122 solutions of

1: (2,3,7,43,1807,3263443,10650056950807,113423713055421844361000443)

2: (2,3,7,43,1807,3263443,10650057792155,134811739261383753719)

3: (2,3,7,43,1807,3263443,10652778201539,41691378583707695)

4: (2,3,7,43,1807,3263443,10699597306267,2300171639909623)

5: (2,3,7,43,1807,3263447,2130014000915,22684798220467498090185211)

6: (2,3,7,43,1807,3263447,2130014387399,11739058070963394487)

7: (2,3,7,43,1807,3263479,288182779055,243811701792623)

8: (2,3,7,43,1807,3263483,260604226747,80249212735823)

9: (2,3,7,43,1807,3263495,200947673239,67137380077902268343)

10: (2,3,7,43,1807,3263495,200949404503,23316080984691959)

11: (2,3,7,43,1807,3263531,119666789791,8081907028348841339)

12: (2,3,7,43,1807,3263591,71480133827,761302020256877140089595)

13: (2,3,7,43,1807,3263779,31834629787,4396910340967)

14: (2,3,7,43,1807,3264187,14298637519,152316021000302785506427)

15: (2,3,7,43,1807,3316627,203509259,109643149191047)

16: (2,3,7,43,1807,3586039,36800447,2550097247)

17: (2,3,7,43,1811,655519,389313431,1507818475)

18: (2,3,7,43,1811,713899,7813583,2409102303622951)

19: (2,3,7,43,1811,793595,3722287,233296531681207)

20: (2,3,7,43,1817,298637,279594269,3859101523354821017)

21: (2,3,7,43,1819,252731,2134319143,6047845668256680791)

22: (2,3,7,43,1823,193667,637617223447,406555723635623909338363)

23: (2,3,7,43,1823,193667,637617223459,31273517203328870463055)

24: (2,3,7,43,1823,193675,4683210919,754794584867)

25: (2,3,7,43,1831,132347,231679879,1197240789041771)

26: (2,3,7,43,1891,40379,9444811,55866875)

27: (2,3,7,43,1943,25615,456729463,450222796871)

28: (2,3,7,43,1951,30571,118463,14484098803019)

29: (2,3,7,43,2105,12773,2775277,168100338289)

30: (2,3,7,43,2137,16921,37501,49708999789)

31: (2,3,7,43,2755,5407,172771,357538828973647)

32: (2,3,7,43,2813,5045,692705317,188433744928309)

33: (2,3,7,43,3263,4051,2558951,61088439723561979)

34: (2,3,7,43,3559,3667,33816127,797040720326433787)

35: (2,3,7,47,395,779731,607979652631,369639258012703445569531)

36: (2,3,7,47,395,779731,607979652647,21743485766025360000683)

37: (2,3,7,47,395,779731,607979652683,6974325623477705424647)

38: (2,3,7,47,395,779731,607979653531,410254449012081168631)

39: (2,3,7,47,395,779731,607979655287,139119028839856004123)

40: (2,3,7,47,395,779731,607979697799,8183472856913555659)

41: (2,3,7,47,395,779731,607979793451,2624887933109395111)

42: (2,3,7,47,395,779731,607982046587,154405744751990423)

43: (2,3,7,47,395,779743,46768385339,1672627310178141725483)

44: (2,3,7,47,395,779747,35764242947,12154487527525118239)

45: (2,3,7,47,395,779827,6286857907,2158880732959)

46: (2,3,7,47,395,779831,6020372531,3660733426607933569531)

47: (2,3,7,47,395,781727,305967719,125881309327)

48: (2,3,7,47,395,782111,257276179,57278664659)

49: (2,3,7,47,395,782287,277442411,1701723083)

50: (2,3,7,47,395,782611,211810259,1592773460578079)

51: (2,3,7,47,395,816247,17428931,652510750371360683)

52: (2,3,7,47,395,1108727,2627707,140495574531059)

53: (2,3,7,47,403,19403,15435513367,238255072887400163323)

54: (2,3,7,47,403,19403,15435513395,8215692183434294399)

55: (2,3,7,47,403,19403,15435513463,2456237880094942747)

56: (2,3,7,47,403,19403,15435516179,84697872837562655)

57: (2,3,7,47,415,8111,6644612311,44150872756848148411)

58: (2,3,7,47,415,8111,6644612339,1522443894582665279)

59: (2,3,7,47,415,8111,6644613463,38292177286592827)

60: (2,3,7,47,415,8111,6644645747,1320426321921983)

61: (2,3,7,47,449,4477,12137,34035763385)

62: (2,3,7,47,583,1223,1407479767,1980999293106894523)

63: (2,3,7,47,583,1223,1407479807,48317057302587443)

64: (2,3,7,47,583,1223,1468268915,33995520959)

65: (2,3,7,47,583,1223,2202310039,3899834875)

66: (2,3,7,53,209,10589,19651,86321)

67: (2,3,7,53,269,817,7301713,48932949591475)

68: (2,3,7,53,401,409,351691,397617853)

69: (2,3,7,55,179,24323,10057317271,101149630679497570171)

70: (2,3,7,55,179,24323,10057317287,5949978284730273323)

71: (2,3,7,55,179,24323,10057317311,2467064172726591731)

72: (2,3,7,55,179,24323,10057317467,513449911932648503)

73: (2,3,7,55,179,24323,10057317967,145121431390804003)

74: (2,3,7,55,179,24323,10057320619,30202945461748519)

75: (2,3,7,55,179,24323,10057325347,12523178395739983)

76: (2,3,7,55,179,24323,10057454579,736667018400959)

77: (2,3,7,61,187,485,150809,971259409)

78: (2,3,7,61,293,457,551,21709309)

79: (2,3,7,65,121,6271,1579937,2869621)

80: (2,3,7,67,113,28925,48220169,4074021053)

81: (2,3,7,67,113,29153,3712777,45401353)

82: (2,3,7,67,113,34477,178945,178344158228021)

83: (2,3,7,67,187,283,334651,49836124516795)

84: (2,3,7,71,103,65059,1101031,4400294969594807)

85: (2,3,11,17,79,301,1049,3696653)

86: (2,3,11,17,97,151,444161,317361415625)

87: (2,3,11,17,101,149,3109,52495396603)

88: (2,3,11,23,31,47059,2214502423,4904020979258368507)

89: (2,3,11,23,31,47059,2214502427,980804197623275639)

90: (2,3,11,23,31,47059,2214502475,92528699894575367)

91: (2,3,11,23,31,47059,2214502687,18505741750517011)

92: (2,3,11,23,31,47059,2214502831,11990273552017987)

93: (2,3,11,23,31,47059,2214504467,2398056482005535)

94: (2,3,11,23,31,47059,2214524099,226233749172527)

95: (2,3,11,23,31,47059,2214610807,45248521436443)

96: (2,3,11,23,31,47059,2215070383,8636647107907)

97: (2,3,11,23,31,47059,2217342227,1729101023519)

98: (2,3,11,23,31,47059,2244604355,165128325167)

99: (2,3,11,23,31,47059,2294166883,63772955407)

100: (2,3,11,23,31,47059,2365012087,34797266971)

101: (2,3,11,23,31,47059,2446798471,23325584587)

102: (2,3,11,23,31,47059,2612824727,14526193019)

103: (2,3,11,23,31,47059,3375982667,6436718855)

104: (2,3,11,23,31,47063,442938131,980970939025927675)

105: (2,3,11,23,31,47063,447473399,43702604167)

106: (2,3,11,23,31,47095,59897203,132743972247361531)

107: (2,3,11,23,31,47119,36349891,4619150372467)

108: (2,3,11,23,31,47131,30382063,67384091875543675)

109: (2,3,11,23,31,47147,24928579,11061526082145911)

110: (2,3,11,23,31,47243,12017087,26715920281613179)

111: (2,3,11,23,31,47423,6114059,13644326865136507)

112: (2,3,11,23,31,47479,5307047,2371471764522551)

113: (2,3,11,23,31,47491,5161279,4952592862147)

114: (2,3,11,23,31,49759,866923,2029951372029307)

115: (2,3,11,23,31,60563,211031,601432790177275)

116: (2,3,11,23,31,74963,126415,259118345891)

117: (2,3,11,23,31,84527,106159,84453127154999)

118: (2,3,11,25,29,787,264841,2542873)

119: (2,3,11,25,29,1097,2753,144508961851)

120: (2,3,11,31,35,67,369067,1770735487291)

121: (2,3,13,25,29,67,2981,11294561851)

122: (2,5,7,11,17,157,961,4398619)

Appendix B: All solutions of

1: (2,3,5)

2: (2,3,11,13)

3: (2,3,7,41)

4: (2,3,11,17,59)

5: (2,3,7,83,85)

6: (2,3,7,43,1805)

7: (2,3,11,23,31,47057)

8: (2,3,7,71,103,61429)

9: (2,3,7,53,271,799)

10: (2,3,7,47,481,2203)

11: (2,3,7,47,395,779729)

12: (2,3,7,43,3611,3613)

13: (2,3,7,43,3041,4447)

14: (2,3,7,43,2501,6499)

15: (2,3,7,43,2167,10841)

16: (2,3,7,43,2053,15011)

17: (2,3,7,43,1945,25271)

18: (2,3,7,43,1901,36139)

19: (2,3,7,43,1871,51985)

20: (2,3,7,43,1825,173471)

21: (2,3,7,43,1819,252701)

22: (2,3,7,43,1811,654133)

23: (2,3,7,43,1807,3263441)

24: (2,3,11,23,31,94115,94117)

25: (2,3,11,23,31,47059,2214502421)

26: (2,3,7,71,103,67213,713863)

27: (2,3,7,71,103,62857,2704339)

28: (2,3,7,71,103,61955,7238201)

29: (2,3,7,71,103,61559,29133437)

30: (2,3,7,71,103,61477,79005919)

31: (2,3,7,71,103,61441,319853515)

32: (2,3,7,59,163,1381,775807)

33: (2,3,7,55,179,24323,10057317269)

34: (2,3,7,47,583,1223,1407479765)

35: (2,3,7,47,449,3299,379591)

36: (2,3,7,47,415,8111,6644612309)

37: (2,3,7,47,403,19403,15435513365)

38: (2,3,7,47,401,25535,1837531099)

39: (2,3,7,47,395,779731,607979652629)

40: (2,3,7,47,395,788491,70175789)

41: (2,3,7,47,395,779819,6832003021)

42: (2,3,7,47,395,1559459,1559461)

43: (2,3,7,43,3307,3979,642279641)

44: (2,3,7,43,2533,7807,32435)

45: (2,3,7,43,2159,11047,98567401)

46: (2,3,7,43,1907,43115,163073)

47: (2,3,7,43,1907,34165,17766223)

48: (2,3,7,43,1823,193667,637617223445)

49: (2,3,7,43,1807,3263443,10650056950805)

50: (2,3,7,43,1807,6526883,6526885)

Appendix C: All 550 solutions of

1: (2,3,7,43,1807,3263443,10650056950807,113423713055421844361000441)

2: (2,3,7,43,1807,3263443,10650056950811,22684742611092888917760733)

3: (2,3,7,43,1807,3263443,10650056950847,2766432025752386503391041)

4: (2,3,7,43,1807,3263443,10650056950895,1274423742206281453625521)

5: (2,3,7,43,1807,3263443,10650056951011,553286405158997346238853)

6: (2,3,7,43,1807,3263443,10650056951251,254884748449776336285749)

7: (2,3,7,43,1807,3263443,10650056951353,207355965377032496263511)

8: (2,3,7,43,1807,3263443,10650056951413,186859494335874429774611)

9: (2,3,7,43,1807,3263443,10650056951839,109800303065259151146401)

10: (2,3,7,43,1807,3263443,10650056953541,41471193083926544813347)

11: (2,3,7,43,1807,3263443,10650056953841,37371898875694931515567)

12: (2,3,7,43,1807,3263443,10650056954455,31083505917860578820921)

13: (2,3,7,43,1807,3263443,10650056955925,22157396583303152145971)

14: (2,3,7,43,1807,3263443,10650056955971,21960060621571875789925)

15: (2,3,7,43,1807,3263443,10650056969051,6216701192092161324829)

16: (2,3,7,43,1807,3263443,10650056973233,5057462580561823763311)

17: (2,3,7,43,1807,3263443,10650056975693,4557548652728700190411)

18: (2,3,7,43,1807,3263443,10650056976401,4431479325180675989839)

19: (2,3,7,43,1807,3263443,10650056981857,3652819986026411796191)

20: (2,3,7,43,1807,3263443,10650056993159,2678056182713693394601)

21: (2,3,7,43,1807,3263443,10650056999489,2329842318137500089151)

22: (2,3,7,43,1807,3263443,10650057004829,2099544890708757769051)

23: (2,3,7,43,1807,3263443,10650057042743,1233711280926563627161)

24: (2,3,7,43,1807,3263443,10650057062941,1011492524632410313307)

25: (2,3,7,43,1807,3263443,10650057064837,994674380386454897891)

26: (2,3,7,43,1807,3263443,10650057075241,911509739065785598727)

27: (2,3,7,43,1807,3263443,10650057106061,730564005725327919883)

28: (2,3,7,43,1807,3263443,10650057160685,540424317300132443371)

29: (2,3,7,43,1807,3263443,10650057162571,535611245062784239565)

30: (2,3,7,43,1807,3263443,10650057194221,465968472147545578475)

31: (2,3,7,43,1807,3263443,10650057220921,419908986661797114455)

32: (2,3,7,43,1807,3263443,10650057282835,341607861336024725621)

33: (2,3,7,43,1807,3263443,10650057406397,248959522702338919291)

34: (2,3,7,43,1807,3263443,10650057410491,246742264705358286077)

35: (2,3,7,43,1807,3263443,10650057515857,200731826106380706191)

36: (2,3,7,43,1807,3263443,10650057520961,198934884597336540223)

37: (2,3,7,43,1807,3263443,10650057577837,180890131003613942891)

38: (2,3,7,43,1807,3263443,10650058000201,108084871980072049319)

39: (2,3,7,43,1807,3263443,10650058223897,89093180781187556791)

40: (2,3,7,43,1807,3263443,10650058610951,68321580787250505769)

41: (2,3,7,43,1807,3263443,10650058946809,56825432783897027351)

42: (2,3,7,43,1807,3263443,10650059165749,51208422358805751251)

43: (2,3,7,43,1807,3263443,10650059228761,49791913060513344503)

44: (2,3,7,43,1807,3263443,10650059714345,41042931721701387271)

45: (2,3,7,43,1807,3263443,10650059750899,40507134183243596501)

46: (2,3,7,43,1807,3263443,10650059776061,40146373741321701883)

47: (2,3,7,43,1807,3263443,10650060058039,36503135151956613401)

48: (2,3,7,43,1807,3263443,10650060085961,36178034720768349223)

49: (2,3,7,43,1807,3263443,10650060720223,30090529437288820961)

50: (2,3,7,43,1807,3263443,10650061626077,24260361131432510491)

51: (2,3,7,43,1807,3263443,10650062238733,21449571707804380811)

52: (2,3,7,43,1807,3263443,10650063316261,17818644676283072003)

53: (2,3,7,43,1807,3263443,10650066930821,11365095076824966115)

54: (2,3,7,43,1807,3263443,10650067099565,11176127163949062571)

55: (2,3,7,43,1807,3263443,10650068025521,10241692991806710895)

56: (2,3,7,43,1807,3263443,10650070563995,8331909447275677021)

57: (2,3,7,43,1807,3263443,10650070768501,8208594864385838099)

58: (2,3,7,43,1807,3263443,10650070951271,8101435356694279945)

59: (2,3,7,43,1807,3263443,10650072486971,7300635550436883325)

60: (2,3,7,43,1807,3263443,10650073935703,6677926509977160761)

61: (2,3,7,43,1807,3263443,10650075630037,6072193870844315891)

62: (2,3,7,43,1807,3263443,10650075797891,6018114407503324837)

63: (2,3,7,43,1807,3263443,10650075798763,6017835980166266861)

64: (2,3,7,43,1807,3263443,10650080117897,4895908588016066791)

65: (2,3,7,43,1807,3263443,10650080327161,4852080746332062743)

66: (2,3,7,43,1807,3263443,10650082659077,4411964805021755491)

67: (2,3,7,43,1807,3263443,10650083390441,4289922861606436807)

68: (2,3,7,43,1807,3263443,10650086501387,3838301107202656141)

69: (2,3,7,43,1807,3263443,10650089026489,3536138409375784151)

70: (2,3,7,43,1807,3263443,10650107240345,2255424306869577271)

71: (2,3,7,43,1807,3263443,10650107694601,2235233952835373159)

72: (2,3,7,43,1807,3263443,10650112756565,2032483912456467571)

73: (2,3,7,43,1807,3263443,10650119325763,1818428145004661861)

74: (2,3,7,43,1807,3263443,10650125016751,1666390409500696049)

75: (2,3,7,43,1807,3263443,10650126167623,1638683417332729961)

76: (2,3,7,43,1807,3263443,10650141875291,1335593822040992797)

77: (2,3,7,43,1807,3263443,10650150346961,1214447294214423823)

78: (2,3,7,43,1807,3263443,10650151190591,1203575716078814017)

79: (2,3,7,43,1807,3263443,10650170255905,1001057505462912671)

80: (2,3,7,43,1807,3263443,10650171754619,987989272817600701)

81: (2,3,7,43,1807,3263443,10650172786261,979190237648774003)

82: (2,3,7,43,1807,3263443,10650174744829,962909362289669051)

83: (2,3,7,43,1807,3263443,10650184347359,890330759859381601)

84: (2,3,7,43,1807,3263443,10650185492161,882401481049911743)

85: (2,3,7,43,1807,3263443,10650204703711,767668741486091873)

86: (2,3,7,43,1807,3263443,10650215900875,713591422742310221)

87: (2,3,7,43,1807,3263443,10650217329221,707236201920717475)

88: (2,3,7,43,1807,3263443,10650273755813,523170675855668611)

89: (2,3,7,43,1807,3263443,10650306159083,455146869530958061)

90: (2,3,7,43,1807,3263443,10650308398501,451093381419476099)

91: (2,3,7,43,1807,3263443,10650333494543,410158116370430161)

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