Guide to Tables in the Theory of Numbers (1941) / Chapter Skim
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ERRATA
ERRATA
Pages 127-172
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From page 127... ...
• read • read ff read 465 3-5-31 4364 2' -1091 7668 2»-3'-71 1431 3" -53 5598 2-32-311 7795 5-1559 1917 32-71 5798 2-13-223 7894 2 • 3947 2140 22-5-107 5912 2' -739 7936 2" • 31 2799 32-311 6517 72-19 7964 2M1-181 2862 2-32-53 6660 22-3'-5-37 8560 24-5-107 2956 22-739 6786 2-3M3-29 8618 2-31-139 3580 22-5-179 6868 21 17-101 8728 22-1091 3718 2-11-13*
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From page 128... ...
t 1753 41221 41651 42491 43051 45767 t 46229 46489 48679 49069 49787 49801 BRETSCHNEIDER 2. 4 5 number 977 1134 1289 1610 2067 2323 2384 2516 2532 3025 3522 3541 3603 3723 4011 f 7 4 38 9 62 8 t 49831 50221 51341 51767 53327 57191 f 110 9 17 181 13 38 for 0, 6, 0, 11 0,0,1 3, 0, 5, 5, 1 0,0,9, 11 0, 1, 3, 2, 0 not listed 0, 4, 0, 49, 1 0, 1, 0, 0, 0, 4 0, 2, 0, 0, 0, 4 0, 6, 1, 1, 0, 1 0, 2, 3, 0, 2 0, 4, 0, 1, 2 0, 0, 3, 3, 0, 1 0, 0, 10, 2, 0, 1, 1 5, 0, 0, 1 for 3424 379 p for read 911 450 455 1213 1212 202 1597 266 133 1831 915 305 1951 390 195 t for read 1979 1976 1978 1993 1992 664 2311 462 231 2437 2436 1218 3467 3466 1733 8 10 11 12 DM" 16 22 table VI XVIII BURCKHARDT 1, [d2]
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From page 129... ...
LEHMER 1, coL xi) lor read 57 56 8 3 62 67 96 76 insert 175 [129]
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From page 130... ...
CAHEN 3, [di]
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From page 131... ...
ERRATA CARMICHAEL 2-CAYLEY 12 3, [da] . -- continued page t table 51 167 N 52 179 I 52 181 N 52 181 N 52 181 N 52 181 N 52 181 N 52 181 N 52 181 N 52 181 N 52 181 N 52 181 N 52 181 N 52 181 N 52 181 N 53 191 N 53 193 I 5.1 193 I 53 193 N 3, [id.
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From page 132... ...
P«ge • 76 29 76 1014 76 1051 109 1361 1366 CHEBYSHEV h, changes Erase the long bar under 1,0, 17 For 2, 0, 5 read 4, 0, 5 For 7, -1, 7 read 5, -1,7 Insert a short bar under 0, 40 Insert a short bar under 0, 8 In cols, of 8, i, enter ++ in 1.
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From page 133... ...
number factors authority 19697 prime CUNNINGHAM 19699 prime CUNNINGHAM 38963 47 • 829 CUNNINGHAM 39859 23 • 1733 BURCKHARDT 65113 19-23-149 BURCKHARDT 68303 167 • 409 BURCKHARDT 68303-68399 raise each line of factors one line up BURCKHARDT 68987 149 • 463 CUNNINGHAM 76769 7 • 11 • 997 CUNNINGHAM 354029 13 • 113 • 241 BURCKHARDT 469273 7-7-61-157 CUNNINGHAM 494543 7-31-43-53 CUNNINGHAM 545483 prime BURCKHARDT 580807 prime BURCKHARDT 637447 prime BURCKHARDT 769469 prime BURCKHARDT 783661 prime BURCKHARDT 795083 prime BURCKHARDT 795089 67-11867 BURCKHARDT 795091 11 • 11 • 6571 BURCKHARDT 931219 29-163-197 BURCKHARDT (CUNNINGHAM 41, v.
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From page 135... ...
read CUNNINGHAM 30.
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From page 136... ...
P»* e 3 14 16 M 22 M 23 155 19 25 25 22 12 -- 1 12-+1 for insert 48713705353 detete 29251 detete entry 6836860537 (Errata marked with CUNNINGHAM, WOODALL and CREAK 1.
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From page 137... ...
ERRATA DASE 3-DAVis 1 DASE 3. The entries for 8236079 and 8245589 are given correctly in some copies and incorrectly in others.
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From page 138... ...
ERRATA DEGEN 1. A read 853 929 for 10th entry of upper line 14, not 15.
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From page 139... ...
. Table III, add 2750, 2990, 3250, 3430.
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From page 140... ...
ERRATA negative determinants P»ge cent. for read 451 5 n.
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From page 141... ...
ERRATA E GIFFORD 1 GAUSS 7 -- continued positive determinants page 475 475 475 475 475 475 475 475 475 476 476 476 cent.
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From page 143... ...
ERRATA GOLDBERG 1 GOLDBERG 1 -- continued page for read page for read page for nad 60 53313 52313 159 K110111 140111 225 K188973 198973 60 K 32861 52861 162 K443269 143269 227 200834 200831 67 K 58159 59159 166 146437 146537 228 K211583 201583 70 91321 61321 167 K147979 147079 229 251893 201893 75 65599 65699 168 K147959 147859 231 253539 203539 75 K 63813 65813 169 148781 148789 233 K235933 205933 76 K 69529 66529 170 K449797 149797 234 206638 206639 76 K 69553 66553 172 131409 151409 234 207001 207007 76 69883 66883 176 K455357 155357 235 907463 207463 77 K 67751 67651 178 156691 156697 236 207943 207947 78 K 69401 68401 182 K166559 160559 236 298073 208073 80 70627 70727 186 K463763 163763 236 K298661 208661 81 71197 71297 187 164776 164779 237 209329 209323 83 12889 72889 189 166872 166873 237 K200341 209341 83 73919 73019 191 169703 168703 238 K2 10263 210269 86 K 65371 75371 192 166813 169813 238 K5 10503 210503 87 76051 76951 193 K176407 170407 239 K240733 210733 91 79729 79829 194 171084 171083 239 110767 210767 93 82481 82181 194 K151587 171587 240 411673 211673 94 92733 82733 195 472121 172121 240 211781 211771 96 K 34757 84757 196 172754 172751 240 211791 211781 97 K 35183 85183 196 172929 172927 241 312407 212407 98 K 68333 86333 197 K473581 173581 242 212914 213913 100 K 67653 87653 198 K177877 174877 244 215301 215303 108 95079 95077 201 K777527 177527 245 246733 216733 108 95329 95429 202 K478687 178687 247 517811 217811 109 93917 95917 204 K179141 179641 253 223278 223273 109 96123 96023 204 480377 180377 255 225470 225479 114 K199409 100409 206 191511 181511 256 325863 225863 115 K106967 100967 207 K162539 182539 256 225597 225997 118 204027 104027 207 K162711 182711 258 227668 227669 118 104287 104387 207 182848 182849 259 223329 228329 121 106181 106183 208 188407 183407 259 228403 228409 123 408127 108127 209 134673 184673 259 258673 228673 123 K 103373 108373 210 195213 185213 260 K329531 229531 123 K408521 108521 210 175431 185431 261 230928 230923 124 409241 109241 210 485471 185471 262 231311 231317 126 119857 110857 211 155837 185837 262 K281361 231361 133 117438 117433 211 168373 186373 262 221467 231467 134 418367 118367 211 86697 186697 262 321793 231793 139 112419 122419 212 187138 187139 263 K531863 231863 145 138159 128159 212 157157 187157 263 232250 232259 145 K138161 128161 215 189364 189367 264 332739 232739 146 K138419 128419 218 792511 192511 264 332801 232801 153 K434819 134819 218 192760 192769 264 238877 232877 154 125409 135409 219 198681 193681 264 232801 232901 154 185673 135673 220 191339 194339 264 333077 233077 154 125809 135809 222 106213 196213 265 293741 233741 154 126241 136241 223 K197993 196993 265 K234043 234049 156 K127461 137461 223 196017 197017 265 294091 234091 157 198541 138541 223 191129 197129 266 233067 235067 157 188871 138871 224 147881 197881 267 236112 236113 158 439001 139001 225 198434 198439 267 K336221 236221 159 K 138849 139849 225 188791 198791 268 336507 236507 [143]
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From page 144... ...
GOLDBERG 1 -- continued ERRATA page for read page for read page for read 268 K337031 237031 273 241468 241469 278 245407 245497 269 337671 237671 274 241840 241849 279 246917 246017 270 238061 238081 275 245143 243143 280 347043 247043 271 238971 238981 277 244241 244249 283 249917 249919 273 240820 240829 277 K241811 244811 284 K280789 250789 273 241009 241007 278 K345381 245381 284 250937 250931 273 241274 241271 278 245497 245407 285 K221387 251387 corrected number factors corrected number factors corrected number factors 5951 11-541 77371 7' -1579 122483 53-2311 8891 17 • 523 K 79679 17-43-109 123763 23 • 5381 9571 17-563 80357 107 • 751 124763 17-41-179 9937 19-523 81617 17-4801 K127801 227-563 11429 11-1039 84797 19-4463 128527 7' -43 -61 13559 7-13-149 86483 197-439 128851 269-479 17651 19-929 89987 292-107 133429 29-43-107 18361 7-43-61 90419 7-12917 134057 7-11-1741 19907 17-1171 K 90721 257-353 138379 71-1949 20009 11-17-107 K 91877 79-1163 K138761 7-43-461 22919 13-41-43 93547 139-673 K139621 17-43-191 23047 19 1213 94001 23 • 61 • 67 K139829 67-2087 23441 11-2131 94831 11-37-233 140519 83-1693 24173 23-1051 94987 43 -47143 -47 141187 59-2393 27347 23-29-41 in some copies] 142769 11 • 12979 28259 7-11-367 95567 227-421 143311 7-59-347 29597 17-1741 96301 23-53-79 144859 11-13-1013 29971 17-41-43 96631 71 • 1361 K 145597 19-79-97 32477 47-691 96883 17-41-139 146189 29-71' 37631 11'-311 96937 31 • 53 • 59 146591 17-8623 48719 11-43-103 K 97481 43-2267 147017 13-43-263 50813 72-17-61 K 98099 263-373 147389 11-13399 51209 41-1249 K 99769 19-59-89 147581 7-29-727 52693 23-29-79 99997 192-277 148613 353-421 53011 7 • 7573 101857 7 • 14551 149593 227 • 659 53021 37-1433 102283 29 • 3527 149603 prime 53041 29-31-59 104303 37 • 2819 152573 271-563 53071 73-727 105473 29-3637 K154447 41-3767 53293 137 • 389 K105919 11-9629 154813 23-53-127 53731 prime K105961 17-23-271 155011 379-409 53761 37 • 1453 108619 7-59-263 155489 61 • 2549 55033 11-5003 108809 53-2053 156263 307 • 509 58729 11-19-281 109939 17-29-223 157117 59-2663 K 58993 11-31-173 111523 229-487 157453 19-8287 59807 11-5437 113627 372-83 157663 112-1303 61807 19-3253 K114733 17*
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From page 145... ...
ERRATA GOUWENS 1 GOLDBERG 1 -- continued corrected corrected corrected number factors number facton number factors 166249 83-2003 198053 23-79-109 K225121 13-17317 166573 11-19-797 198401 72-4049 225877 107-2111 169907 131 • 1297 198547 367-541 K225899 223-1013 170951 11-15541 198617 31-43-149 225901 13-17377 172231 29-5939 198947 7 • 97 • 293 226249 61-3709 172339 23-59-127 200167 11-31-587 226279 41-5519 172891 23-7517 203917 7-29131 227689 7-11-2957 174247 163-1069 204853 II» -1693 228967 101-2267 174643 7-61-409 204901 17' -709 229471 11-23-907 176879 73 • 2423 207107 71-2917 229537 7-112-271 K177467 prime 207167 223-929 229579 7-32797 K179183 59-3037 207413 211-983 229907 149-1543 179467 197-911 207557 7-149-199 230261 19-12119 179597 11-29-563 K208349 89 • 2341 231601 31' -241 179711 7 • 25673 210217 7-59-509 232427 13-19-941 181561 47-3863 211459 103-2053 K233263 19-12277 182117 13 • 14009 K213251 107 • 1993 233927 223-1049 182177 prime 213793 439-487 235093 17 • 13829 182399 7-71-367 213871 7-30553 235801 37-6373 182527 349-523 215101 17 • 12653 236099 229-1031 184423 311-593 215171 11-31-631 236281 277-853 184937 173-1069 215441 17-19-23-29 K237949 17-13997 186083 53-3511 K2 15729 31-6959 238271 11-21661 186313 211-883 216581 19-11399 239603 7 • 13 • 2633 186517 37 • 71' 216737 73 • 2969 K240329 17-67-211 187537 7 • 73 • 367 217039 172-751 241399 283-853 187829 31-73-83 217897 193-1129 242611 19-1131 191423 107-1789 219209 223-983 242791 97 • 2503 191839 41-4679 219379 431 • 509 K245743 397-619 192203 11-101-173 219859 43-5113 246863 43-5741 192449 223-863 220087 7 • 23 • 1367 247019 19-13001 193781 7-19-31-47 220439 17-12967 247109 29-8521 195151 11-113-157 220993 223-991 247751 7-35393 K195671 7 • 27953 221029 83 • 2663 247979 17-29-503 196301 7-29-967 K223109 47' -101 248029 97 • 2557 196411 59-3329 223459 192-619 249241 47 • 5303 197041 13-23-659 K224647 277-811 251587 7 • 127 • 283 197501 23-31-277 224719 11-31-659 K251593 43-5851 224729 prime (Practically all corrections in this list were given in Dr.
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From page 146... ...
for 27/32 read -5/32 Table II. In Aufor -x/90 read 89*
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From page 147... ...
ERRATA HAUSSNER 1 HADSSNER 1. » for read omit insert for « -- read 670 ...
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From page 148... ...
ii 72 73 1217 • • • 36 35 139 91 90 139 50 51 1217 96 97 73 63 64 1427 ... 52 51 (Table II)
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From page 149... ...
ERRATA HERTZER 1 HAUSSNER 1 -- continued • lot read • te md • te rod 3264 88 89 4018 65 66 4664 71 69 3268 47 46 4056 108 109 4674 122 123 3288 77 78 4098 101 102 4690 96 95 3332 56 55 4100 68 67 4692 119 120 3352 44 45 4104 105 104 4708 66 65 3392 45 46 4110 138 139 4710 147 148 3408 87 86 4114 60 61 4718 61 60 3418 49 50 4144 63 64 4724 58 57 3480 122 123 4172 61 62 4734 119 120 3492 84 85 4178 54 53 4736 59 58 3528 103 104 4188 103 104 4738 56 57 3584 57 56 4190 65 64 4740 151 154 3588 107 108 4198 52 53 4746 138 139 3594 90 89 4200 164 165 4754 61 60 3598 57 58 4206 104 105 4764 113 114 3610 67 66 4216 55 54 4782 107 108 3612 111 112 4222 55 56 4792 61 60 3614 54 53 4242 122 123 4808 52 51 3616 47 48 4248 105 106 4814 62 61 3646 51 52 4258 54 53 4816 73 75 3658 46 47 4284 133 132 4818 128 129 3688 45 46 4308 101 100 4854 113 114 3710 80 79 4310 67 68 4884 125 126 3712 48 49 4350 143 144 4894 61 60 3714 94 93 4352 56 55 4900 95 94 3724 60 62 4374 102 103 4902 121 123 3772 55 54 4388 49 48 4904 58 59 3774 102 103 4398 106 107 4908 104 103 3804 94 93 4422 113 114 4914 149 150 3808 65 64 4428 110 108 4916 53 54 3810 129 130 4438 68 70 4918 56 57 3814 48 49 4444 61 60 4920 152 153 3818 45 44 4446 124 125 4930 83 84 3828 108 109 4470 148 147 4942 72 73 3840 127 128 4474 56 57 4944 121 122 3844 51 50 4522 76 77 4950 166 167 3846 97 98 4608 116 117 4956 143 145 3852 93 94 4618 58 57 4972 67 68 3882 97 98 4628 60 59 4986 116 117 3954 101 100 4638 107 108 4990 83 84 3958 52 53 4640 71 70 4996 62 63 4008 106 105 4642 64 65 5000 76 77 4662 135 136 HERTZER 1.
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From page 150... ...
Jrei KAVAJJ) page number lor read 1 4241 1 .
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From page 151... ...
B) read 3631; 6427; instead of 2631; 6433; t 5261 8609 Corrigenda of a, •'• • 19 47 70 80 t 883 6427 11311 t 6481 Omissions, Table II A 4 80 106 Corrigenda of A, B A 41 B 17 3 5 B 40 (CUNNINGHAM 41, p.
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From page 152... ...
ERRATA KAVAN li, l2. page 32, N-15280 for 24 • 3 • 191 read 24 • 5 • 191 page 39, argument left hand column, for 1800 read 1870 (J.
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From page 153... ...
„ delete iniert •it. p delete insert 129 3 2003 5347 132 7 2593 129 3 2383 7867 133 10 2593 6337 129 3 5153 9043 133 10 6793 129 3 9413 133 11 1511 129 3 9967 133 11 8231 130 5 1753 2083 133 12 7841 130 5 5167 2383 133 13 7841 130 5 5347 5153 133 13 8231 130 5 6793 133 17 1559 8089 130 5 7867 133 17 8191 130 5 9043 133 19 1559 130 5 9413 133 19 5711 130 5 9967 133 23 1511 131 6 6337 5167 133 29 5711 132 7 8089 1753 133 29 8191 [153]
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From page 154... ...
t for* read x for p read p for mod read mod 138 577 107 105 138 797 569 563 139 457 449 ...
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From page 155... ...
ERRATA KRAITCHIK 4, [dj d»] -- continued pages 131-145 T of base 2 t for read p for read t for read 947 2 i 34519 6 65543 1 2 1609 4 8 34543 2 68099 2 1 9257 1 2 34897 16 71503 1 2 10487 1 2 35671 2 74143 1 2 10631 1 2 36847 2 74729 4 8 10639 1 2 36929 2 77041 1 2 18451 15 25 37529 2 78259 2 1 18859 2 1 42187 3 80239 1 2 22279 1 2 49033 2 90019 6 3 24943 1 2 50951 2 93871 7 70 26641 1 2 53609 1 2 97849 1 2 27551 10 50 58679 1 2 98543 1 2 29671 1 2 61057 1 2 99839 1 2 31649 16 32 61631 1 2 99871 1 2 31849 1 2 63671 2 10 250867 2 1 255071 1 2 797 15601 for 2 4 read 4 40 -> • of base i0 # for read p for read 21739 2 3 25667 1 2 22343 2 1 25759 1 2 AND WooDALL, Messenger Math., v.
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From page 156... ...
Table II tor P 128441 414259 498629 938353 read 125441 414209 498689 932353 KRAITCHIK 7, p.
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From page 157... ...
=14 read * =15 page 159, p = 59, n = 44,/or .t = 14 read x-tf for a 15 234 115 15, 13, 33,15, 1.
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From page 158... ...
182-183) 7, page 84 86,87 88 88 95 96 97 97 97 97 97 98 99 99 99 100 105 105 106 106 127 137 140 143 144 line n = 67 94,114,150 n = 56 n = 120 «=41 o-18 a- 24 a = 42 o=44 a = 61 o = 52 a=75 a=85 ,; - -lit o=23 o = 58 0 = 68 a-19 o=19 60 o=10 ,-lt column o'-l o-1 last o-l o"-l o-l o'-l o'-1 a'-l o'-l first first o'+l o'»+l o'+l o'+l 8 N M M for read 19370721 193707721 interchange primitive factors 3153 1851 • • • 521 detete entry 2641 61 13467047 5942675703 13 603870199 152987077 10922367593 193 338839937 2711117 41-941 106177 537 35533211573 106117 537 341-334661 insert 51329 5153 394783681•46908728641 8641 601 134367047 5942675707 19 903870199 152787077 109-22367593 163 7879999 271-1117 41941 196117 5237 35533-211573 196117 *
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From page 159... ...
. -- continued page line column for read 145 o= 6 207544361 20754361 146 *
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From page 160... ...
LEGENDRE 1,, [jjERRATA U, [is]
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From page 161... ...
LEHMER 2. page col.
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From page 162... ...
72 5 from bottom, 50th term should be 1635524 result incorrect page 10, n"3,for 17096 OSTROGRADSKY 1. , read 17476 numbers indices (POULET 3, p.
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From page 163... ...
339) misprinted primes pages 42-6i for f read 5457 3901 7923 11491 (bis)
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From page 165... ...
1, [Jd. pages 23-32 corrigenda in p insert omissions corrigenda in L, M for read t A B t A B t L if 17136 17137 883 4 17 25453 95 74 139 23 1 25183 25189 11311 106 5 25747 160 7 397 34 4 5579 25579 12553 101 28 27631 166 5 1123 35 11 26459 26479 12739 8 65 32353 175 24 2377 79 11 30763 30703 12967 110 17 33037 65 98 2713 103 3 51051 31051 12973 65 54 34519 38 105 4003 107 13 32553 32353 12979 76 49 35437 65 102 4339 128 6 40659 40759 13477 107 26 37699 68 105 5437 146 4 49277 49279 13537 113 16 39181 191 30 5503 148 2 19891 104 55 43201 1 120 20443 100 59 44563 200 39 omission 21499 68 75 883 47 7 corrigenda in A , B t A B t A B t A B 313 11 8 18427 100 53 27691 104 75 5011 56 25 18481 127 28 29059 128 65 5653 19 42 18553 35 76 29179 152 45 8293 91 2 19423 130 29 30529 23 100 8707 92 9 19477 35 78 35257 53 104 9871 38 S3 20071 86 65 37363 20 111 10957 47 54 21391 146 5 37507 160 63 12211 56 55 22651 76 75 38449 193 20 12823 106 23 23557 37 86 45307 212 11 16561 127 12 25147 140 43 45361 193 52 18301 7 78 26317 145 42 pages 26, 31, omit the non-primes 6433 and 41197 pages 26, 27, insert asterisk after £=8167, 8317 pages 29-32, omit the primes 16561, 18301, 18481, 23557, 35257, 45307, 45361 [165]
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From page 166... ...
after p= 14081,15601,15641, 15761,17489, 17729, 19489, 24809, 24889 Table IVc, page 41, omit the * after />=13729, 14321, 15361, 16249, 17209, 17449, 18329, 19289, 20681, 23561 Tables IVa, b, pages 32-41 corrigenda in a, b Table IVa, pages 32-38 Table IVc, page 41 corrigenda in c, d corrigenda in c, d p „ b t „ b t t d t c d 197 1 14 4421 65 14 17 3 2 11173 97 42 14009 115 28 1777 25 24 14009 69 68 12269 13 110 15361 31 120 4177 55 24 14081 117 14 12301 99 50 16249 43 120 6553 55 42 14369 111 32 12373 103 42 17317 129 26 6653 -- -- 14929 121 12 12973 83 78 18289 135 8 7481 57 46 17489 99 62 15493 97 78 19489 105 92 8969 63 50 17729 111 52 16253 37 122 21613 147 2 11057 105 4 19001 123 44 17077 119 54 23197 101 114 11113 49 66 19489 133 30 17117 91 94 23561 131 80 11329 31 72 23929 139 48 17929 125 48 24281 155 16 12049 41 72 18517 119 66 12097 107 18 omission 21493 87 118 12161 63 64 22129 77 90 22129 15 148 12281 27 76 REUSCHLE 3.
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From page 167... ...
TANNER TANNER TANNER TANNER BICKHORE, WESTERN BlCKMORE, WESTERN WESTERN WESTERN WESTERN Tab.
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From page 168... ...
100) for f read insert f insert p 2670 2671 6311 25999 9199 6199 6917 28949 11137 15137 19553 29243 11559 15559 22013 29387 12539 18539 22963 P ( t ( t ( t £ 4517 2258 19777 6592 22963 11481 28663 9554 5779 5778 19841 64 23041 1152 28687 28686 6311 3155 20071 3345 23599 437 28751 575 6917 3458 20143 20142 24443 12221 28843 759 10193 1456 20353 6784 25667 12833 28949 28948 10753 512 20359 10179 25759 12879 29243 14621 14437 7218 21277 1182 25999 12999 29387 2099 19423 6474 21821 21820 27427 13713 29443 14721 19553 19552 22013 5503 27739 27738 29527 1554 (CUNNINGHAM 40, p.
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From page 169... ...
2=14, read 24 page 258, the prime 3371 is missing. Insert line p X Y 3XY simplest primary 3371 127 23 3, 1, 1, 2, 6 0, 5, 4, 2, 8 TEBAY 1.
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From page 170... ...
1822 The 23d partial quotient and denominator of the 23d complete quotient are missing. They are 1 and 54 respectively.
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From page 171... ...
ERRATA WIEFERICH 1 WHITFORD 1 -- continued 44 3 3 1 2 3 2 29 9 1 4 (3)
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