tables

100:

\[{5^{100}-1\over4}\]

2² × 3 × 11 × 13 × 41 × 71 × 101 × 251 × 401 × 521 × 1901 × 9161 × 239201 × 9384251 × 424256201 × 50150933101_<11> × 89620825374601_<14>

101:

\[{5^{101}-1\over4}\]

5937018283241_<13> × 3434487311396589821473854121_<28> × 483593153887747265029536907421_<30>

102:

\[{5^{102}-1\over4}\]

2 × 3² × 7 × 31 × 103 × 409 × 3061 × 8467 × 90271 × 317731 × 528667 × 41540861 × 466344409 × 60119016343_<11> × 654652168021_<12>

103:

\[{5^{103}-1\over4}\]

3709 × 28429 × 59117897713198738371603984809_<29> × 39546955636451768643571562540114219_<35>

104:

\[{5^{104}-1\over4}\]

2³ × 3 × 13² × 53 × 313 × 5227 × 38923 × 51169 × 305175781 × 537181587281_<12> × 83181652304609_<14> × 129044008326199409_<18>

105:

\[{5^{105}-1\over4}\]

11 × 31 × 71 × 181 × 211 × 379 × 631 × 1741 × 4201 × 19531 × 519499 × 1736701 × 85280581 × 119461537021_<12> × 21226783250214361_<17>

106:

\[{5^{106}-1\over4}\]

2 × 3 × 107 × 5960555749_<10> × 17154094481_<11> × 28838378869_<11> × 27145365052629449_<17> × 599659003321309822423087_<24>

107:

\[{5^{107}-1\over4}\]

6421 × 5486016363791_<13> × 35411885288978941_<17> × 172163150940018661_<18> × 717433171088016374418821_<24>

108:

\[{5^{108}-1\over4}\]

2² × 3⁴ × 7 × 13 × 19 × 31 × 37 × 109 × 163 × 271 × 487 × 601 × 829 × 4159 × 5167 × 31051 × 6597973 × 16018507 × 14551915228363037109375001_<26>

109:

\[{5^{109}-1\over4}\]

1091 × 1007161 × 1528399 × 2293559892404294400692399012979688850301546383400890423075969_<61>

110:

\[{5^{110}-1\over4}\]

2 × 3 × 11² × 23 × 67 × 71 × 521 × 5281 × 103511 × 511831 × 12207031 × 65628751 × 190295821 × 10910444855403996246103496881_<29>

111:

\[{5^{111}-1\over4}\]

31 × 149 × 3109 × 13971969971_<11> × 8737481256739_<13> × 54928520946880307112306785731407655242899973469_<47>

112:

\[{5^{112}-1\over4}\]

2⁴ × 3 × 13 × 17 × 29 × 113 × 313 × 337 × 449 × 11489 × 19531 × 234750601 × 2520917617 × 59509429687890001_<17> × 37007700327977836913_<20>

113:

\[{5^{113}-1\over4}\]

2939 × 6329 × 129499 × 308491 × 304247586761_<12> × 2084303944451_<13> × 620216264269531_<15> × 8237123176890810696379_<22>

114:

\[{5^{114}-1\over4}\]

2 × 3² × 7 × 31 × 191 × 229 × 761 × 6271 × 19609 × 213029 × 3981071 × 75649382555448580095589_<23> × 11735415506748076408140121_<26>

115:

\[{5^{115}-1\over4}\]

11 × 71 × 461 × 691 × 8971 × 689081 × 2855911 × 29028071 × 824480311 × 17223586571_<11> × 332207361361_<12> × 100062970166640331_<18>

116:

\[{5^{116}-1\over4}\]

2² × 3 × 13 × 59 × 35671 × 5096867 × 6090817323763_<13> × 22125996444329_<14> × 1334402673828313149547634216455312875601_<40>

117:

\[{5^{117}-1\over4}\]

19 × 31 × 79 × 829 × 223963741 × 305175781 × 608459012088799_<15> × 937938782117311845318745554345005320717861_<42>

118:

\[{5^{118}-1\over4}\]

2 × 3 × 827 × 5242462229_<10> × 3237765225301_<13> × 2059647179472887_<16> × 21180247636732981_<17> × 2047572230657338751575051_<25>

119:

\[{5^{119}-1\over4}\]

239 × 409 × 1429 × 4999 × 19531 × 466344409 × 7497182681291140146079_<22> × 788868477693980100643230089490226571_<36>

120:

\[{5^{120}-1\over4}\]

2³ × 3² × 7 × 11 × 13 × 31 × 41 × 61 × 71 × 181 × 241 × 313 × 521 × 601 × 1741 × 2281 × 7621 × 9161 × 390001 × 69566521 × 632133361 × 23320317172851318360001_<23>

121:

\[{5^{121}-1\over4}\]

12101 × 486179 × 12207031 × 13094322377956920597215509541997540493466263550896158313340716530769_<68>

122:

\[{5^{122}-1\over4}\]

2 × 3 × 367 × 8419 × 9029 × 918585913061_<12> × 15571335384347_<14> × 14008364639128540436401_<23> × 140194179307171898833699259_<27>

123:

\[{5^{123}-1\over4}\]

31 × 739 × 960139 × 1785961 × 2238236249 × 9025583299_<10> × 5079304643216687969_<19> × 5832474690386022428273180864659_<31>

124:

\[{5^{124}-1\over4}\]

2² × 3 × 13 × 1303 × 1861 × 21207101 × 28086211607_<11> × 625552508473588471_<18> × 8124604717965111529_<19> × 102651353523520067851969_<24>

125:

\[{5^{125}-1\over4}\]

11 × 71 × 101 × 251 × 401 × 3597751 × 9384251 × 28707251 × 4032808198751_<13> × 767186663625251_<15> × 24687045214139234043375683501_<29>

126:

\[{5^{126}-1\over4}\]

2 × 3³ × 7² × 19 × 29 × 31 × 43 × 127 × 379 × 449 × 829 × 883 × 5167 × 7603 × 19531 × 280729 × 406729 × 519499 × 2161279 × 24132781 × 1692416503 × 23792163643711_<14>

127:

\[{5^{127}-1\over4}\]

14693679385278593849609206715278070972733319459651094018859396328480215743184089660644531_<89>

128:

\[{5^{128}-1\over4}\]

2⁷ × 3 × 13 × 17 × 313 × 641 × 769 × 2593 × 11489 × 29423041 × 75068993 × 241931001601_<12> × 3666499598977_<13> × 96132956782643741951225664001_<29>

129:

\[{5^{129}-1\over4}\]

31 × 18471511 × 1644512641 × 172827552198815888791_<21> × 43955934961951833386625799_<26> × 51349797354047205216257689_<26>

130:

\[{5^{130}-1\over4}\]

2 × 3 × 11 × 71 × 131 × 521 × 5227 × 18461 × 38923 × 305175781 × 15188886343541_<14> × 1034150930241911_<16> × 15199221608544481_<17> × 20986207825565581_<17>

131:

\[{5^{131}-1\over4}\]

2621 × 23928199 × 34720241 × 16815642611861_<14> × 250805666433416532678429525124977090318975999001796354124089_<60>

132:

\[{5^{132}-1\over4}\]

2² × 3² × 7 × 13 × 23 × 31 × 67 × 89 × 199 × 601 × 1453 × 5281 × 595123 × 12207031 × 190771747 × 386478495679_<12> × 1030330938209_<13> × 6509387183417404924784917_<25>

133:

\[{5^{133}-1\over4}\]

191 × 6271 × 9311 × 19531 × 65171 × 281429 × 3981071 × 3257947519 × 152317058321_<12> × 29090007107767075239783794592001366542871_<41>

134:

\[{5^{134}-1\over4}\]

2 × 3 × 269 × 1609 × 26399 × 2454335007529_<13> × 604088623657497125653141_<24> × 11293772630057337854244300009061892827351888021_<47>

135:

\[{5^{135}-1\over4}\]

11 × 19 × 31 × 71 × 109 × 181 × 271 × 541 × 829 × 1171 × 1741 × 4159 × 11071 × 31051 × 169831 × 297315901 × 1312315694449748688331_<22> × 26941244373060650224561_<23>

136:

\[{5^{136}-1\over4}\]

2³ × 3 × 13 × 137 × 313 × 409 × 1973 × 3061 × 20129 × 45289 × 623017 × 41540861 × 466344409 × 12447002677_<11> × 938894988049_<12> × 1361753880209_<13> × 4959636586609_<13>

137:

\[{5^{137}-1\over4}\]

20551 × 603349 × 48102071 × 121719631478506669_<18> × 7851027307722624763151_<22> × 251755028858658462627642052961230751431_<39>

138:

\[{5^{138}-1\over4}\]

2 × 3² × 7 × 31 × 47 × 139 × 6211 × 8971 × 66163549 × 253592389 × 332207361361_<12> × 598761682261_<12> × 8868050880709_<13> × 42272797713043_<14> × 403316413944121_<15>

139:

\[{5^{139}-1\over4}\]

21521602057721_<14> × 6789441546024769741462601111_<28> × 24550591546653776667941845268908441565415743319193209001_<56>

140:

\[{5^{140}-1\over4}\]

2² × 3 × 11 × 13 × 29 × 41 × 71 × 211 × 281 × 449 × 521 × 631 × 4201 × 9161 × 19531 × 15216601 × 85280581 × 234750601 × 4698932281_<10> × 13148832195720299503896018648521_<32>

141:

\[{5^{141}-1\over4}\]

31 × 177635683940025046467781066894531_<33> × 16286160623917663079467944573580125726889931566772922392814390121_<65>

142:

\[{5^{142}-1\over4}\]

2 × 3 × 569 × 4261 × 5747338499820296170481_<22> × 288231038713838413442281_<24> × 18607929421228039083223253529869111644362732899_<47>

143:

\[{5^{143}-1\over4}\]

12207031 × 305175781 × 24615836446631_<14> × 53130566763791958299_<20> × 460183952753824357170225842292658707895690816315909_<51>

144:

\[{5^{144}-1\over4}\]

2⁴ × 3³ × 7 × 13 × 17 × 19 × 31 × 37 × 73 × 313 × 601 × 829 × 1297 × 5167 × 11489 × 390001 × 543097 × 6597973 × 1503418321 × 152587500001_<12> × 2739177855667309845605995807633_<31>

145:

\[{5^{145}-1\over4}\]

11 × 59 × 71 × 35671 × 1461311 × 22125996444329_<14> × 2158365113981511371558358567665231_<34> × 488654500355218081336311051543759628081_<39>

146:

\[{5^{146}-1\over4}\]

2 × 3 × 4853479 × 5729041 × 63554310563_<11> × 777612767772190289_<18> × 3570677866897550288203_<22> × 9519524151770349914726200576714027279_<37>

147:

\[{5^{147}-1\over4}\]

31 × 379 × 19531 × 519499 × 24556351 × 5071357999_<10> × 2035895040229_<13> × 203906616815994386234329833781_<30> × 227376585863531112677002031251_<30>

148:

\[{5^{148}-1\over4}\]

2² × 3 × 13 × 149 × 9103 × 9769 × 40849 × 29010221 × 13971969971_<11> × 8737481256739_<13> × 45920153384867_<14> × 510241095096183757930733363918820917976121_<42>

149:

\[{5^{149}-1\over4}\]

35032461608120426773093239582247903282006548546912894293926707097244777067146515037165954709053039550781_<104>

150:

\[{5^{150}-1\over4}\]

2 × 3² × 7 × 11 × 31 × 61 × 71 × 101 × 151 × 181 × 251 × 401 × 521 × 1741 × 1901 × 3301 × 7621 × 118801 × 1989151 × 9384251 × 20775901 × 24665701 × 49892851 × 149439601 × 183794551 × 50150933101_<11>

151:

\[{5^{151}-1\over4}\]

1175989 × 2237519 × 389439261961_<12> × 12799319666401_<14> × 2843809592323334251225153490677489_<34> × 23480835068319558820315540345862729_<35>

152:

\[{5^{152}-1\over4}\]

2³ × 3 × 13 × 191 × 313 × 457 × 761 × 6271 × 19609 × 213029 × 3981071 × 4885168129_<10> × 2864226125209369_<16> × 21363981507860375753_<20> × 21654472202540732126905077281_<29>

153:

\[{5^{153}-1\over4}\]

19 × 31 × 409 × 829 × 4591 × 90271 × 317731 × 26481241 × 466344409 × 654652168021_<12> × 360143672909416579_<18> × 285963691592722767421088565601855215949_<39>

154:

\[{5^{154}-1\over4}\]

2 × 3 × 23 × 29 × 67 × 449 × 5281 × 19531 × 12207031 × 527093491 × 20828886541_<11> × 8090594434231_<13> × 162715052426691233701_<21> × 49970061516036179615325895945741_<32>

155:

\[{5^{155}-1\over4}\]

11 × 71 × 311 × 1861 × 11161 × 257611 × 5624951 × 31473312961_<11> × 625552508473588471_<18> × 21783999170235219053011_<23> × 174583335852767865379025002452121_<33>

156:

\[{5^{156}-1\over4}\]

2² × 3² × 7 × 13² × 31 × 53 × 79 × 157 × 601 × 3121 × 5227 × 38923 × 8684521 × 305175781 × 4056854881 × 22735632934561_<14> × 83181652304609_<14> × 608459012088799_<15> × 667929705480493_<15>

157:

\[{5^{157}-1\over4}\]

32029 × 5129819 × 2107089779 × 8616314452100494153901371725720169_<34> × 4587548699755676969742331799602074877905422766102260881_<55>

158:

\[{5^{158}-1\over4}\]

2 × 3 × 18251687 × 7897663181_<10> × 511465533067_<12> × 205367807127911_<15> × 58523123221688392679_<20> × 344120456368919234899_<21> × 37399095525167136010188229_<26>

159:

\[{5^{159}-1\over4}\]

31 × 5960555749_<10> × 17154094481_<11> × 1775305720077559_<16> × 27145365052629449_<17> × 2239678151546732477719339309862512328008393109037131818519_<58>

160:

\[{5^{160}-1\over4}\]

2⁵ × 3 × 11 × 13 × 17 × 41 × 71 × 241 × 313 × 521 × 2593 × 9161 × 11489 × 25601 × 29423041 × 131349761 × 632133361 × 167597261761_<12> × 909456847814334401_<18> × 24625444126052524088217281_<26>

161:

\[{5^{161}-1\over4}\]

8971 × 19531 × 332207361361_<12> × 146938674667821698939790140544890177855634270543389059647071922199454271085510730718993828121_<93>

162:

\[{5^{162}-1\over4}\]

2 × 3⁵ × 7 × 19 × 31 × 109 × 163 × 271 × 487 × 829 × 1783 × 4159 × 4861 × 5023 × 5167 × 31051 × 16018507 × 2066067271380136212224701233463_<31> × 11419697846380955982026777206637491_<35>

163:

\[{5^{163}-1\over4}\]

4599209 × 40100609 × 675775181 × 6582151087844246659_<19> × 102556399583828574447011133455059_<33> × 2541462766396986870745222882425433052891_<40>

164:

\[{5^{164}-1\over4}\]

2² × 3 × 13 × 83 × 43543 × 193357 × 221401 × 6355001 × 2238236249 × 1148205782281_<13> × 9472026608675509_<16> × 5079304643216687969_<19> × 56373078952722628530598981268453_<32>

165:

\[{5^{165}-1\over4}\]

11² × 31 × 71 × 181 × 199 × 331 × 1741 × 2311 × 103511 × 511831 × 12207031 × 65628751 × 190295821 × 386478495679_<12> × 9867165115635267180926131_<25> × 13585095374919980427914311_<26>

166:

\[{5^{166}-1\over4}\]

2 × 3 × 167 × 20515111 × 1431185706701868962383741_<25> × 4029666108840585686296627_<25> × 88040095945103834627376781_<26> × 2560787702841639767474730913969_<31>

167:

\[{5^{167}-1\over4}\]

18371 × 53441 × 136120444765766549215152778976644223266629687067883561040373326929809178107924810841979832452900690680385721_<108>

168:

\[{5^{168}-1\over4}\]

2³ × 3² × 7² × 13 × 29 × 31 × 43 × 127 × 313 × 379 × 449 × 601 × 2521 × 6553 × 7603 × 19531 × 90217 × 390001 × 519499 × 234750601 × 24587411156281_<14> × 59509429687890001_<17> × 6019022585035590658668001_<25>

169:

\[{5^{169}-1\over4}\]

13859 × 305175781 × 784646826705980283039372085276899721_<36> × 1006733590176529722850423460072748896758960727573801229970212800434559_<70>

170:

\[{5^{170}-1\over4}\]

2 × 3 × 11 × 71 × 409 × 521 × 1531 × 3061 × 41540861 × 75752681 × 247515241 × 466344409 × 504156421 × 34563155350221618511_<20> × 68795069664507129341_<20> × 8198241112969626815581_<22>

171:

\[{5^{171}-1\over4}\]

19² × 31 × 191 × 829 × 6271 × 3981071 × 11735415506748076408140121_<26> × 160886188043803054530871719304783265100827282810075925369403839312088918579_<75>

172:

\[{5^{172}-1\over4}\]

2² × 3 × 13 × 173 × 1549 × 9547 × 1644512641 × 7866608083_<10> × 1628744948329_<13> × 2171388367013_<13> × 172827552198815888791_<21> × 132331554743163541916284364878460504933118649_<45>

173:

\[{5^{173}-1\over4}\]

1039 × 3461 × 1708272343265311_<16> × 339919831020187630960347957199421099342434386629129924807724899548171905079254114627192212342747249_<99>

174:

\[{5^{174}-1\over4}\]

2 × 3² × 7 × 31 × 59 × 349 × 5569 × 6961 × 35671 × 5096867 × 6090817323763_<13> × 22125996444329_<14> × 210390487070809_<15> × 22500358133965991972941_<23> × 28870194250662203210437116612769_<32>

175:

\[{5^{175}-1\over4}\]

11 × 71 × 101 × 211 × 251 × 401 × 631 × 4201 × 12601 × 19531 × 28001 × 50051 × 200201 × 8894201 × 9384251 × 22661801 × 85280581 × 1657309151 × 38105263380318401_<17> × 16711449148651875290388101_<26>

176:

\[{5^{176}-1\over4}\]

2⁴ × 3 × 13 × 17 × 23 × 67 × 89 × 313 × 5281 × 11489 × 13729 × 929281 × 12207031 × 1030330938209_<13> × 71225159567951317923809_<23> × 91029014606406186465761_<23> × 9080418348371887359375390001_<28>

177:

\[{5^{177}-1\over4}\]

31 × 198241 × 21180247636732981_<17> × 2047572230657338751575051_<25> × 340863370420651571324835367261_<30> × 14365640833437852408745701299256005364862514221_<47>

178:

\[{5^{178}-1\over4}\]

2 × 3 × 179 × 9807089 × 14597959 × 834019001 × 8157179360521_<13> × 39387996609449861_<17> × 56522267529181963_<17> × 231669654363683130095909_<24> × 12094715786677995586454978647_<29>

179:

\[{5^{179}-1\over4}\]

359 × 3581 × 75539 × 17315029 × 100894073362387242965129_<24> × 192314444462213728810818160511138304152610629589418566747969452950500442408719960811_<84>

180:

\[{5^{180}-1\over4}\]

2² × 3³ × 7 × 11 × 13 × 19 × 31 × 37 × 41 × 61 × 71 × 181 × 521 × 601 × 829 × 1171 × 1741 × 2281 × 5167 × 7621 × 9161 × 169831 × 6597973 × 20478961 × 69566521 × 297315901 × 6794091374761_<13> × 25535754811081_<14> × 60081451169922001_<17>

181:

\[{5^{181}-1\over4}\]

815663058499815565838786763657068444462645532258620818469829556933715405574685778402862015856733535201783524826169013977050781_<126>

182:

\[{5^{182}-1\over4}\]

2 × 3 × 29 × 449 × 5227 × 19531 × 38923 × 305175781 × 15887476811320661_<17> × 9680647790568589086355559_<25> × 17499733663152976533452519_<26> × 15994146485373751289418997754783021_<35>

183:

\[{5^{183}-1\over4}\]

31 × 8419 × 38431 × 918585913061_<12> × 140194179307171898833699259_<27> × 15786910611608572151933615919570920019287733311030065854227025502988497719030991_<80>

184:

\[{5^{184}-1\over4}\]

2³ × 3 × 13 × 47 × 313 × 8971 × 332207361361_<12> × 42272797713043_<14> × 150220315444217_<15> × 5465713352000770660547109750601_<31> × 214752088491462210591995581828628861192144614553_<48>

185:

\[{5^{185}-1\over4}\]

11 × 71 × 149 × 2591 × 30810641 × 13971969971_<11> × 8737481256739_<13> × 21829321837586441_<17> × 715560993113581787837326861_<27> × 28777599166877704189454473512597567684018827891_<47>

186:

\[{5^{186}-1\over4}\]

2 × 3² × 7 × 31² × 1303 × 1861 × 148429 × 878851 × 21207101 × 258065887 × 28086211607_<11> × 75005167927_<11> × 625552508473588471_<18> × 53345671490722200466369_<23> × 172974812463239310024750410929_<30>

187:

\[{5^{187}-1\over4}\]

409 × 4200769 × 12207031 × 466344409 × 1202338040280510524134632541097924516136661_<43> × 1083765449307240209607018228295109706706942047703089360879158269_<64>

188:

\[{5^{188}-1\over4}\]

2² × 3 × 13 × 2069 × 5077 × 12409 × 15888756269_<11> × 329573417220613_<15> × 3602372010909260861_<19> × 177635683940025046467781066894531_<33> × 935213864500231208652603316429973471246089_<42>

189:

\[{5^{189}-1\over4}\]

19 × 31 × 109 × 271 × 379 × 829 × 4159 × 19531 × 31051 × 280729 × 519499 × 2161279 × 23792163643711_<14> × 305921358183421_<15> × 10072805480453583986931919773741297628474934622266057811409981_<62>

190:

\[{5^{190}-1\over4}\]

2 × 3 × 11 × 71 × 191 × 521 × 761 × 2851 × 4561 × 6271 × 19609 × 213029 × 3981071 × 4113691 × 1245576402371959291_<19> × 11600321878916922053491_<23> × 179763436784239734042181_<24> × 309828362361188845069741_<24>

191:

\[{5^{191}-1\over4}\]

112691 × 60426671 × 1169749680244912326138211518173648104342708417321462088878770777077018070874770315901989031997671838650855091818008950671_<121>

192:

\[{5^{192}-1\over4}\]

2⁶ × 3² × 7 × 13 × 17 × 31 × 97 × 193 × 313 × 601 × 641 × 2593 × 11489 × 390001 × 29423041 × 75068993 × 152587500001_<12> × 241931001601_<12> × 5207826497153857_<16> × 240031591394168814433_<21> × 539344757336151926206665601_<27>

193:

\[{5^{193}-1\over4}\]

749154725101_<12> × 406875383561091922623241829_<27> × 653307895929756357032069541177270095642284909406860982228674482418078001190973372748580182250689_<96>

194:

\[{5^{194}-1\over4}\]

2 × 3 × 389 × 29683 × 261707 × 264811 × 547663 × 90130760102421063383_<20> × 27430239803369083066006288929529_<32> × 153159805660301568024613754993807288151489686913246436306439_<60>

195:

\[{5^{195}-1\over4}\]

11 × 31 × 71 × 79 × 131 × 181 × 1741 × 14821 × 305175781 × 933692761 × 608459012088799_<15> × 1034150930241911_<16> × 20986207825565581_<17> × 13139700116898999203751361_<26> × 86047082949427536089202802741_<29>

196:

\[{5^{196}-1\over4}\]

2² × 3 × 13 × 29 × 197 × 449 × 19531 × 49105547 × 234750601 × 1866013003 × 2481357870461_<13> × 164204573839769_<15> × 74535675530760254357_<20> × 21441970593484574539001_<23> × 227376585863531112677002031251_<30>

197:

\[{5^{197}-1\over4}\]

470323176131_<12> × 362204827770839_<15> × 730600976247394424186287179916007406731365107091939767543519557253021863903691190053568311733456440015345138409_<111>

198:

\[{5^{198}-1\over4}\]

2 × 3³ × 7 × 19 × 23 × 31 × 67 × 199 × 829 × 5167 × 5281 × 143551 × 595123 × 1731511 × 12207031 × 190771747 × 386478495679_<12> × 22542470482159_<14> × 153560376376050799_<18> × 874300184250616439267985523227691404297001_<42>

199:

\[{5^{199}-1\over4}\]

53731 × 57908984365274624584914333008692600552662821915850878758083011806868463587457738002121166767096402607032872918381590535488973250751801_<134>

Base 5 Repunits

Table