Cover Image

Not for Sale



View/Hide Left Panel
Click for next page ( 128


The National Academies | 500 Fifth St. N.W. | Washington, D.C. 20001
Copyright © National Academy of Sciences. All rights reserved.
Terms of Use and Privacy Statement



Below are the first 10 and last 10 pages of uncorrected machine-read text (when available) of this chapter, followed by the top 30 algorithmically extracted key phrases from the chapter as a whole.
Intended to provide our own search engines and external engines with highly rich, chapter-representative searchable text on the opening pages of each chapter. Because it is UNCORRECTED material, please consider the following text as a useful but insufficient proxy for the authoritative book pages.

Do not use for reproduction, copying, pasting, or reading; exclusively for search engines.

OCR for page 127
m ERRATA ARNDT 2. Insert 397 3447:173 BARLOW 1. • 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* 7160 22-5-179 9244 V -2311 3834 2-32-71 7322 2-7-523 9275 52-7-53 4280 22-5-107 7436 p-n-iy (CUNNINGHAM 41(a), p. 27) BEEGER 1. t fct read 109 5947 5934 109 3936 3717 179 16614 15427 197 2768 2668 BEEGER 2. (MEISSNER 2, p. 96) t for read t for read 127 W = 51 71 223 w- 56 167 127 a>=107 117 223 + 167 w=ns 21 227 + 173 W- 16 106 241 W" 34 196 211 w=> 90 121 263 + 211 — + 271 u>=194 77 271 + BlCKMORE 1. (BEEGES) • column for read 47 2--1 2251 2351 16 5»-1 11439 11489 2 6--1 5-7 7 49 6--1 883-* X 16 12--1 26053 260753 20 12--1 X 51-* 44 12"- 1 2697 • * 2377-3697-* (CUNNINGHAM, Messenger Math. v. 26, 1896, p. 38) [127]

OCR for page 127
BlCKMORE 2-BURCKHARDT 1, [d2] ERRATA BICKMORE 2. * 29 33 64 BORISOV 1. 184 193 BORK 1. read 43037 1344 62821 03132 98373 504 00685 44932 21107 80706 61761 (HEKTZER, Archiv Math. Phys., s. 3, v. 13, 1908, p. 107) for read (3, 8, 9, -4, -1, 0) (3, 8, 10, -4, -1, 0) (7,7,5,0,-1,-2) (7,7,5,0,-1,-3) (JONES 1, p. 6; see also Scripta Math., v. 4, 1936, p. 104) 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]. t i ft 78031 10 87881 40 82307 14 87973 6 84067 6 89041 28 84653 2 90067 6 85639 6 93151 10 86923 22 (CUNNINGHAM 40, p. 154) read 0, 6, 0,1, 1 0, 0, 14 3, 0, 5, 1, 1 0, 0, 9, 1, 1 0, 1, 3, 2, 0, 1 3, 0, 0, 4, 0, 1 0, 1, 3, 3, 0, 1 0, 4, 0, 4, 0, 1 0, 1, 0, 0, 4 0, 2, 0, 0, 4 0, 6, 1, 1, 0, 2 0, 0, 2, 3, 0, 2 0, 0, 4, 0, 1, 2 0, 0, 3, 3, 0, 2 0, 0, 10, 2, 0, 0, 1 5, 0, 0, 1, 6 read 3524 479 (CHANDLER 1, p. 10) (SHANKS 1, p. 202) [128]

OCR for page 127
ERRATA BURCKHARDT 2-CAHEN 1, 1, ld]. • for read 9899 blank 19 307849 11 211 446021 573 577 446023 197 193 BURCKHARDT 2. • for read 1019681 17 13 1037051 53 17 1130023 881 prime 1130323 prime 881 1138027 prime 11 1207517 blank 229 1233473 37 prime 1249843 23 7 1250111 57 53 1270471 223 prime 1307377 1013 1019 1330001 1123 prime 1359233 277 prime 1397647 589 587 1411679 11 prime 1412047 13 7 1420847 97 prime 1459699 499 449 1496693 prime 11 BURCKHARDT 3. • for read 2012603 prime 887 2071301 69 79 2077529 prime 131 2114693 103 7 2193923 1429 1433 2214413 31 37 2214931 31 37 2222417 1129 1123 2501261 prime 7 2511893 2 29 2518817 17 7 2542283 1197 1193 2619887 7 17 CAHEN 1, [di]. page t 377 59 384 137 384 137 387 173 389 191 • for read 854651 prime 7 854647 7 prime 895339 7 17 (D. N. LEHMER 1, col. xi) • 1504741 1556257 for read 41 prime 7 37 1588633 23 17 1618087 1069 prime 1619173 prime 151 1623703 prime 151 1627081 169 167 1748209 101 19 1782899 1153 1151 1785169 147 149 1787471 prime 7 1793023 7 prime 1793029 prime 7 1857997 14 41 1916683 prime 193 1936159 1123 prime 1979687 73 47 1984891 797 prime 1996399 83 67 (D. N. I.1.1IM F.K 1, col. xi) • 2755189 2763907 for 63 1213 read 163 1297 2768683 449 prime 2868407 683 prime 2882699 blank 19 2891813 2 23 2903591 1697 1699 2913833 29 13 2915899 prime 7 2954939 prime 13 2976227 549 547 2976881 311 prime 3026279 79 prime (D. N. LEHMER 1, coL xi) lor read 57 56 8 3 62 67 96 76 insert 175 [129]

OCR for page 127
CAHEN 3, [di] ERRATA 1, Id.]. P»ge 375 379 380 380 382 385 386 386 386 389 389 389 17 79 101 101 109 149 157 163 163 193 193 193 table I I N N N N N I I I I N 15 6 41 81 25 101 118 72 92 58 78 24 for 3 34 74 62 66 82 22 131 137 161 191 144 read 2 43 72 67 69 92 33 137 133 191 161 184 Contains all errors of CHEBYSHEV 24, and also A 31 74 for 27 md + 29 D 47 77 101 for 879 283 04z read 79 285 404z CAHEN 3, [dj. page 55 56 1021 2161 forr 7 14 read 10 23 3, [dj. 40 40 40 41 41 42 43 45 45 45 45 46 46 47 47 47 47 48 48 49 50 50 50 17 19 23 37 41 59 79 101 101 103 103 109 109 131 131 131 131 139 139 149 157 163 163 table N N N N N N N I I Argument 15 19 9 31 27 30 6 41 81 26 89 14 25 37 65 85 113 9 136 101 118 72 92 for 3 5 90 37 2 32 34 74 62 11 37 y3 66 33 117 102 1 08 57 82 22 131 137 read 2 20 27 5 33 43 72 67 10 27 73 69 23 112 107 10 98 37 92 33 137 133 [130]

OCR for page 127
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. . far read 26 ± 9 -29 -55 55 -30 7 - 7 -31 - 2 - 3 -33 -47, -57 47,65 -34 -13 35 + 53 ±17 CARMICHAEL 2. #(»•) far 768 792 2384 880 000 OOO 960 972 CAYLEY D 2388 argument for read 164 84 162 109 133 113 56 17 170 66 61 67 76 155 102 86 109 4 96 93 25 106 174 111 116 92 15 126 32 139 136 19 9 146 164 11 156 120 114 166 26 79 176 72 177 170 51 52 58 161 191 78 191 161 24 144 184 • far read -38 -39 12,35 -33 13, -35 -23 -42 -39 -19 -43 35 31 -43 - 5 -46 41 lor 253 597 645 917 insert 1785, 3570 1043, 2086 1309, 2618 1467, 2934 1177: 74 7949:399 203: 8 1181: 31 delete 1043, 2086 (GLAISHEB 27, p. vii) read 1861:117 9749:399 127: 5 1181: 39 [131]

OCR for page 127
CAYLEY 2i-C ERRATA IHEBYS 2t, [dj iHEV CAYLEY 2* page D 144 -17 144 -20 144 -34 145 -40 145 -40 145 -40 145 -40 145 -56 147 -88 147 -88 147 -88 149 29 149 37 149 41 150 50 150 50 151 65 152 91 CAYLEY 6i. 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. 1, in 1. 2, enter -\— inl. 3. -+inl. 4 Cancel all entries in col. of tt For 2, -1, 19 read 3, -1,19 Insert a short bar under 0, 88 Insert a short bar under 0, 11 In col. of i, enter +, —, —, + in lines 1, 2, 3, 4 L. 2, the period should be 2, 5, —2,5,2 L. 3, reverse the period, thus —3, 5, 4, 3, —7, etc. L. 2, the period should be 2, 5, -8, 3, 4, 5, -4, 3, 8, 5, -2, 5, 8, 3, -4, 5, 4, 3, -8, 5, 2 In col. of «, enter + in 1. 1, + in 1. 2 Cancet the entries in col. of Se L. 1, the period should be I, 8, —I, 8,1 L. 2, for 3, 7, -14 read 3, 7, -14 (CUNNINGHAM 42, p. 59-60) for 1, -6, 5, -3, 2, -1 a =1361 read 1, -4, 5, -5, 4, -1 146246 a=1361* 61 98787 71121 28467 93128 64853 64042 (CUNNINGHAM 42, p. 67 and D. H. LEHMER 11, p. 550) p. 273, 3*-lly',for tf=44«+27 read 44n+25, 27; this is correct in 1,. CHEBYSHEV 2t, [d3]. t table 13 17 109 24, [is]. form *2+ 70/ 77/ 86y2 I I N argument 12 15 25 3 66 insert 157 215 71 239 159, 237 87 345 6 (also in 2i) g9j(peculiar to 20 159 77 233 89 119, 143, 297 89 354 115,297 281, 309, 317, 325, 333 7,189 287, 305, 313, 321, 329 [132]

OCR for page 127
ERRATA CHERNAC I-CRELLE 1, [dj 24, [U].—continued form insert delete *2- 38y2 21, 131 23, 129 *2- 62y2 107, 141 103, 145 *2- 87/ 25,323 91,257 a*- 91y« 33, 55, 73, 89, 97, 267 17, 63, 115, 143, 175 275,297,309 189,221,245,249,347 a1- 95y» 161,219 29,351 *2-101)r2 71,79,87,95,309 75,83,91,99,305 317, 325, 333 313, 321, 329 All these errors (except the misprint in **+89yj) occur also in 2i and 2s while none is in 2|. CHERNAC 1. L. J. COMRIE found (PETERS, LODGE and TERNOUTH, GIFFORD 1, p. ix) misprints in the factors of 66 011 = 11-17-353 and (in some copies) of 44393 = 103-431. RPB has two edi- tions of this table, one with the correct factors, and one with the factors 10-3431. 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. 34, p. 26 and v. 35, p. 24; BURCKHARDT 1, p. 1) CRELLE 1, [di]. page col. line for read 52 8 101 • 101 52 57 61 61 52 57 67 • 67 52 65 83 89 52 65 89 • 89 Same errors in CRELLE 2, Tafel 11 f [133]

OCR for page 127
CUNNINGHAM 4, [da]-28 ERRATA CUNNINGHAM 4, [d3]. page p argument for read 10 139 p-l 2 69 2-3-23 60 547 * = 435 102 192 104 773 *-699 873 73 120 839 *-315 541 548 122 853 R /300 /300 \210 1310 127 859 *=526 776 770 147 947 R /910 /910 \820 \920 (CUNNINGHAM 42, p. 68) CUNNINGHAM 5. page 174, table of p*=+1 (mod 711) for p" = 60 read 5030 page 177, table of p'2a=+l (mod 531) read 752, 895, 1689, 460, 413, 1586, 1656, 925, 1777, 2029, 521, 1341. table of ru= -1 (mod 53') read 2057, 1914, 1120, 2349, 2396, 1223, 1153, 1884, 1032, 780, 2288, 1468. (CUNNINGHAM, Messenger Math., v. 30, 1900, p. 60, v. 43, 1914, p. 155) CUNNINGHAM 7, [e2]. p for read 87481 8-5-27-81 8-27-81-5 96661 4 5-27-179 4-27-5-179 7, [jj. Interchange a and b for />=45289, 55633, 70289, 77549, 79609, 80809, 95101. /> = 60169, read A, B = 37, 140; L, M = 383, 59. (CUNNINGHAM 42, p. 69) CUNNINGHAM 10. page 169 for /> = 8124461 read 8124161 (CUNNINGHAM, Messenger Math., v. 40, 1910, p. 36) CUNNINGHAM 24, [o]. «-42, coefficients in Q, read 1, 7, 15, 14, 1, -12, -12, 1, 14, 15, 7, 1. CUNNINGHAM 28. rwd 257 61-330413 114877921 7681-40609-592734049 12705841 12004217 (WOODALL and BEEGEK 5; errata marked with "B," BEEGER) page * y for 143 15 insert B 152 34-2« 20 155 393 163 984 14877921 217 12 281 1 71 12708841 B 284 line 6 12084217 [134]

OCR for page 127
ERRATA CUNNINGHAM 29. p. 86 in heading,/or (y'+1) read CUNNINGHAM 30. CUNNINGHAM 29-CuNNiNGHAM and WOODALL 7, [ds] P«*e i y far 145 7' 5' 4.193051 183 81 2 10730221 183 49 72 15543281 185 32 180801 193 64 75- 10545971 193 9 125 25437261 214 25613261 CUNNINGHAM 31. p. 81, prime 9901,/or 5004 read 5304 CUNNINGHAM 32. (CUNNINGHAM 39) read 4193051 10730021 1143281 100801 151-211-331 125437261 25813261 (BEEGER 5) (CUNNINGHAM 39) P»ge for read 166 12207171 98068509 15801871 15450197 127-211-3697 15801571 174 189 CUNNINGHAM 33. page 112 bottom for 29105 • • • read 39105 • • • page 115 i, = 2, y-\2,for 29105 • • • read 39105 CUNNINGHAM 35, [fi]. page 7 for 19487569 read 19487579 page 7 for 19487969 read 19487959 (BEEGEB 5) (BEEGER 5) (BEEGER) CUNNINGHAM 37. page y 80 22 80 28 yM-1 y-+T for read 4-121 5-97 28481 24481 (J. C. P. MILLEK) CUNNINGHAM 38. p. 125, line 3 from bottom, for 38014 read 38012 CUNNINGHAM and WOODALL 7, [d2]. (CUNNINGHAM 39) for / > = 2241 read 2341 for p=40152 read 40153 for p=44029 (bis) read 44089 for />=27551 for v = \0 read »=50. (CUNNINGHAM and WOODALL, Messenger Math., v. 54, 1924, p. 73) [135]

OCR for page 127
CUNNINGHAM and WOODALL 10-DASE 2 ERRATA CUNNINGHAM and WOODALL 10. 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. page 26, />=8011, /or g = \3 read g= 14 read 31 48713705333 68368660537 " J. C. P. MILLER) page 108, p= 14009, base 7, for = 8, read =824 page 120, p= 19009,/or g= +29, -29 read «= +23, -23. (CUNNINGHAM and WOODALL, Messenger Math., v. 54, p. 180) CUNNINGHAM, WOODALL and CREAK 2. page 353, / > = 8011, for g= 13, read g=14 page 356, />- 19009,/or g = +29, -29, read g= +23, -23. BASE 1. number 6027133 6036637 6075451 6403117 BASE 2. for blank blank 21 9 read 7 prime 421 7 number for read 7022623 prime 1913 7040029 prime 1627 7047113 1997 prime 7047413 prime 1997 7110881 prime 1861 7141793 prime 2617 7220819 prime 1877 7224053 1143 2143 7295077 prime 2683 7295081 2683 prime 7324523 prime 2467 7345979 1801 prime 7346279 prime 1801 7366739 13 23 7384631 prime 2179 7385993 prime 1933 7410421 173 179 7412899 23 13 7430573 prime 2089 7489961 prime 181 7548199 553 353 7556273 prime 1949 7556573 1949 prime 7576799 prime 149 7601003 prime 2437 7601303 2437 prime number 6408679 6722999 6736409 (WOODALL) for 33 217 7 83 127 71 (D. N. l.i.iiMi'.R 1, col. si) number for raid 7614461 prime 2539 7680451 prime 1811 7732871 prime 1783 7741093 41 prime 7790381 prime 2311 7802999 prime 2179 7810963 prime 1847 7820201 prime 1831 7845427 prime 1901 7855549 29 13 7856147 prime 13 7857343 prime 13 7860931 101 13 7861517 prime 2383 7861529 prime 13 7863323 107 13 7864519 prime 13 7865117 prime 13 7866911 prime 13 7868107 prime 13 7887931 67 367 7918819 31 131 7927501 prime 1879 7933649 prime 2341 7941047 prime 1831 (D. N. Lr.mfF.B 1, col. xii) [136]

OCR for page 127
ERRATA DASE 3-DAVis 1 DASE 3. The entries for 8236079 and 8245589 are given correctly in some copies and incorrectly in others. Two copies, one correct and one incorrect, are in RPB. number for read 8057743 prime 2617 8068211 prime 2617 8083913 prime 2617 8136253 prime 2617 8162423 prime 2617 8167657 prime 2617 8167987 prime 181 8169797 prime 181 8170159 prime 181 8209529 prime 2617 8236079 23 73 8245589 41 11 8277571 prime 2617 8282197 prime 7 8288039 prime 2617 8293273 prime 2617 8318393 73 43 8324677 prime 2617 8340379 prime 2617 8350847 prime 2617 8382251 prime 2617 8397953 prime 2617 8409631 79 379 8409917 7 17 8418889 prime 2617 8427193 97 67 8429357 prime 2617 8431151 prime 1613 8431169 1613 prime 8450293 prime 2617 8456059 prime 239 8477669 prime 1361 8477671 1361 prime 8478889 233 prime 8486449 227 277 8491187 769 569 8496181 1123 1223 8499737 prime 829 8499763 829 prime 8500853 227 277 8507867 prime 2617 number for read 8513101 prime 2617 8523569 prime 2617 8525317 prime 877 8528803 prime 2617 8536319 13 11 8560057 31 11 8560207 prime 2617 8562461 23 43 8593507 43 13 8626981 41 11 8633483 prime 2617 8636011 11 31 8638717 prime 2617 8654419 prime 2617 8670121 prime 2617 8684609 prime 233 8684903 233 prime 8685823 prime 2617 8696291 prime 2617 8711993 prime 2617 8717227 prime 2617 8748631 prime 2617 8754887 2627 1627 8759099 prime 2617 8783693 5171 571 8783699 49 149 8788069 prime 2017 8790503 prime 2617 8795737 prime 2617 8821907 prime 2617 8827141 prime 2617 8869013 prime 2617 8874247 prime 2617 8916119 prime 2617 8930137 1949 1049 8931821 prime 2617 8964901 13 11 8965801 11 13 8984161 prime 2617 8995513 2767 prime 8995517 prime 2767 (D. N. LEHMER 1, col. zii) W. DAVIS 1. detete 102+0013, 0391, 0657,0723, 1221, 1353, 1549, 1647. (CUNNINGHAM and WOODALL 5, p. 78) [137]

OCR for page 127
MERRIFIELD I-POULET 2 ERRATA MERRIFIELD 1. p argument for read t argument for read 127 105 107 108 71 16 15 22 116 31 71 26 22 15 137 108 88 87 83 25 8 80 181 78 94 64 167 57 128 28 193 155 173 174 173 57 72 92 181 16 165 172 26 172 165 PAGLIERO 1 • (JACOBI 2, p. 243) delete 100 004 539 (BEEGEK) POLETTI 2, w. number for read number for read 667 23-39 23-29 26243 7-23163 7-23-163 1771 7-11-13 7-11-23 26527 41-467 41-647 2563 11-223 11-233 29729 7-13-137 7-31-137 5239 132-21 132-31 30667 7-13-137 7-13-337 5243 72-207 7>-107 33943 7-13-173 7-13-373 8483 7-499 17-499 34561 11-19 107 17-19-107 9299 15-547 17-547 34621 83-389 89 389 9401 7-17-19 7-17-79 35329 72-103 7»-103 12299 T'-51 72-251 37939 13-3449 11-3449 13181 72-69 72-269 42511 7-6063 7-6073 17303 11'-13 11'- 13 42601 12-29-113 13-29-113 18193 7-23-313 7-23 113 43423 171-251 173-251 18271 11'- 251 112-151 44671 11-31-141 11-31-131 19339 82-233 83-233 46699 41-67-17 17-41-67 20293 7-13-123 7-13-223 48739 47-17-61 17-47-61 25009 29-281 89-281 49067 139-343 139-353 2, [fj. page for read 7 9867 9967 19 44903 44909 31 82863 82963 63 186833 186883 97 100 000 961 100000 963 97-98 delete 102+2271, 4291, 4909, 7129, 8709, 8793, 9891, 10011 98 insert 100 010 017 101 detete 10'+46617, 50307, 55293 , 70327, 86809, 94219 101 insert 10'+2149, 47989, 53053, 94881 POULET 2. (BEEGER, Boll, di Mat. (Conn), v. 21, 1925, p. bcv-lxvi and S. A. JOFFE) page line D for read 15 2 2'-34-5- •• 21.31.5. . . 68 11 from bottom (3-5-15299) (2-5-15299) 70 6 3412776 3212776 70 last correct entry is 290504024 (22- 17 -41 -53 -983) 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. 187-188) [162]

OCR for page 127
ERRATA POULET 4i-REUSCHLE 1, [di] POULET page 77 78 79 81 82 83 83 31 35 49 2 28 44 3 16 16 ooL 9 5 10 8 1 3 3 1,2 5 6 POULET 42. page 51, insert *56052361 631. RAMANUJAN li. page 360, insert 293 318 625 600 REUSCKLE 1, [dj. 3221 10 3251 6 3301 6 3361 22 3739 7 3881 13 4099 2 4231 3 4729 17 4969 11 l, [dj. pages 42-46 t base • * 179 7 178 193 6 2 311 2 155 311 3 155 311 5 155 311 10 155 ... 313 2 156 • • • 367 7 61 6 409 6 17 24 457 7 114 4 463 7 154 3 503 5 502 523 2 i for read 831045 831405 976587 976487 409 109 4178 4177 953683 953673 887421 877421 39016841 39016741 insert *56052361 631 739073 729073 578 577 (POULET 4i) (BEEGER) (RAMANUJAN h, p. 339) misprinted primes pages 42-6i for f read 5457 3901 7923 11491 (bis) 12511 (bis) 12801 blank 3457 3907 7927 11497 12541 12809 14731 (WERTHEIM 4, p. 153) t base t „ 523 3 58 9 739 6 369 2 757 7 189 4 821 5 410 821 6 410 821 7 410 • • • 919 7 1 939 3 369 947 3 ... 2 997 2 332 997 5 332 997 6 332 • • • [163]

OCR for page 127
REUSCHLE 1, [d2] ERRATA 1, [d2]—continued base 2 p < • t • • t • • 1487 743 2 3169 1584 4099 4098 1 1613 52 31 3191 55 58 4139 4138 1747 1 3221 644 5 4271 305 2053 2052 3251 650 5 4339 1446 2161 1080 3259 1086 4391 2195 2293 2292 3301 660 5 4597 1532 2473 618 3739 534 7 4663 777 2677 2676 3881 388 10 4751 475 10 2753 1376 3919 1959 4831 2415 3079 1539 4051 81 4993 624 base 10 t • • t 0 * t f • 1163 581 7129 594 12119 6059 2 2687 2686 7561 1890 4 12149 12148 3301 3300 7823 7822 1 12289 384 32 3347 1673 7923 not prime 12301 2460 5 3671 367 10 7927 7926 1 12421 12420 3697 1232 8387 599 14 12637 3159 3797 949 8521 710 12 12721 2120 3851 770 5 8681 868 10 12791 6359 4139 4138 8689 2172 4 12853 459 28 4157 2078 8893 2223 13151 1315 10 4391 2195 8929 144 62 13487 13486 4397 314 14 9151 1525 13553 1936 7 4637 61 76 9277 4638 13627 6813 5647 1882 9613 267 36 13687 4562 5779 5778 1 9661 1380 13697 13696 6133 1533 10343 10342 13729 3432 6299 94 67 10433 10432 13757 362 38 6359 3179 10597 5298 14081 1760 8 6373 1062 11047 11046 14221 2844 5 6379 2126 11113 3704 14533 519 28 6421 2140 11173 5586 14551 485 30 6491 1298 5 11423 11422 1 14731 14730 1 6529 1088 6 11491 766 15 14741 14740 1 6581 1316 5 11801 2950 4 14827 2471 6 6761 1690 4 11839 5919 14929 1866 8 6763 161 42 12043 2007 6 14983 4994 6899 6898 12071 355 34 [164]

OCR for page 127
ERRATA REUSCHLE 1, [e2]-l, [J2] 1, [e,]. pages 42-61 Errata occur in factors of (/> — !) for p= 101 2539 3989 7687 9049 10651 11827 12853 601 2617 4231 7723 9257 10831 11887 12923 937 2777 4397 7927 9277 10903 11933 12959 977 2969 4409 7937 9349 10939 11953 13553 1597 3259 5647 8039 9781 11071 12097 13687 1879 3547 5897 8447 9901 11383 12113 14149 1973 3697 6379 8461 10039 11549 12289 14593 2029 3719 6389 8563 10093 11597 12487 14713 2237 3739 6581 8747 10151 11677 12539 14731 2309 3793 6763 8893 10369 11681 12553 14779 2347 3797 6823 8969 10343 11719 12613 2503 3877 7669 8971 10427 11813 (CUNNINGHAM 40, p. 12757 151-153) 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]

OCR for page 127
RETJSCHLE 3 ERRATA [Js]—continued pages 32-41 Primes misprinted—Table IVa, page 34; for 3459 read 3469 Table IVb, page 40; for 29893 read 23893 Primes wrongly inserted—Table IVb, pages 39, 40; omit 12697, 16981, 19381, 21101 with their a, b as (10//>)2= -1 Table IVc, page 41; omit 16649 with its c, d, as (10//>)4= -1 Asterisks omitted or superfluous— Table IVa, b, pages 33-41, insert one * after /> = 733, 2213, 2477, 2677, 2729, 3169, 3373, 6997, 11117, 14293, 14929, 17317, 20357, 21613, 21649, 22277, 23293, 24733 Table IVa, pages 34-38, insert two ** after /> = 2161, 12289 Tables IVa, b, pages 33-40, omit the * after /> = 1213, 2437, 16649, 22093 Table IVa, pages 34-38, omit one * after /> = 2129, 6761, 7561, 8521, 8689, 11801, 12329 Table IVc, page 41, insert one * 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. (CUNNINGHAM 41, p. 134-135) PMC x,n table t far read auth. 2 5 I 691 a = +220 +320 8 11 I 199 0» = - 69 - 60 8 11 I 199 o"= - 73 - 78 8 11 I 331 o*= + 55 + 85 8 11 I 661 0* = -214 -204 193 15 I 881 p — 881 811 199 21 I 463 „»= - 44 - 14 226 39 541 «= 541 547 (in 3 places) 239 45 631 + 71 + 121 CREAK 239 45 631 «" = +223 - 11 CKEAK 273 57 457 u"' = - 7 - 6 273 57 457 = - 26 - 24 CREAK 285 63 I 757 OCR for page 127
ERRATA ROBERTSI-SARMA 1 REUSCHLE 3 — continued page X," table t 446 16 I 113 450 32 I 257 461 128 I 641 461 128 I 769 476 24 I 601 495 40 I 641 513 48 I 97 513 48 I 337 513 48 I 337 513 48 I 337 533 56 I 673 635 96 I 577 643 100 I 701 643 100 I 601 643 100 I 601 page x.« table t 3 5 I 601 3 5 I 751 3 5 I 821 3 5 I 881 5 7 I 491 5 7 I 547 37 29 V 106 43 vi 108 67 108 67 VI 176 25 i 401 187 49 249 51 Vl',1 ... 282 57 487 28 ra 511 44 VI 511 44 IV, 1 546 56 IV, 4 621 68 628 76 ROBERTS 1. for u=- 43 «=+ 85 u,»=-275 w"=-138 a>"=-306 to"=- 10 w'=-174 wu = + 57 «'=-154 u"=- 83 «"=-353 0,"=- 46 «4'=+341 for 12+2a+5o2+9a2 4+4a-4ol+3a3 4-5a+5a4 6+m X = 43 [at top] Tab. VI. />=2,7, 11,31 X=89 [at top] [line 4] 107-409 o,4-2o>H-4=0 Tab. VI. [line 2] />=40»-5, +7 w4-49=0 n = 68 [at top] « = 76 [at top] page 107, «=1553, col. 2«+l,/w 17 read 15 in denominators, after 9 read (3, 3). page 108, « = 1777, col. 2«+l,/or 61 read 43 in denominators, after 27 read 2, (1, 1). SANG 1. page 760, add entries 576 744 SARMA 1. All entries contain last figure errors. 943 817 iwd - 48 + 15 -305 - 38 +295 -317 - 11 + 163 + 38 -153 - 85 -196 +348 - 26 +241 read S-af+2a* 12+2a+8o>+9a2 l+4a+4a1+3as 4-5a2+5a4 Cancet this entry auth. 2-a+2a'+2a« a'+3a« 8+17i X=67 Tab. VIII. £=2,7,11,13,31 X=49 103-409 CREAK auth. TANNER TANNER TANNER TANNER BICKHORE, WESTERN BlCKMORE, WESTERN WESTERN WESTERN WESTERN Tab. IV. u4+49=0 ' (CUNNINGHAM 42, p. 61-62) (CUNNINGHAM 42, p. 66) 1105 1105 [167]

OCR for page 127
SCHULZE I-SHANKS 1, 3 ERRATA SCHULZE 1. for read for read 6° 43' 58' 6° 43' 59» 38" 21' 28' 38" 21' 29' 12 1 4 12 1 5 50 41 33 50 41 32 12 40 50 12 40 49 55 6 2 55 6 20 13 25 10 13 25 11 61 10 29 61 9 30 15 11 24 15 11 21 61 55 57 61 55 39 16 16 24 16 15 37 64 56 32 64 56 33 17 28 35 17 29 32 68 45 39 68 45 38 17 56 44 17 56 43 70 39 21 70 37 21 21 13 38 21 14 22 72 56 16 72 56 18 21 33 55 21 34 7 74 48 38 74 48 39 23 45 22 23 46 38 75 45 54 75 45 0 24 32 14 24 31 46 78 12 44 78 11 16 25 35 25 25 36 31 79 8 50 79 7 10 26 59 25 26 59 29 79 35 56 79 36 40 33 23 54 33 23 55 81 12 2 81 12 9 35 2 44 35 3 4 81 49 43 81 49 44 far read • perp. hyp. IMS. perp. hyp. has. 12° 1' 4* 78 — — 76 — — 13 41 8 — 308 317 — 317 308 30 30 37 23 — — 33 — — 42 44 28 203 — — 207 — — 60 30 46 — 183 — — 193 — 70 30 28 — 929 — — 949 — 71 40 31 476 — — 468 — ^— for tan 1 j read for tan J«> read 0,2608691 0,2608696 0,6086965 0,6086957 0,2941179 0,2941176 0,6956526 0,6956522 0,3076938 0,3076923 0,7058823 0,7058824 0,3157363 0,3157895 0,7619047 0,7619048 0,5909001 0,5909091 0,9523809 0,9523810 SHANKS 1, 3. (BRETSCHNEIDER 1, p. 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. 153) [168]

OCR for page 127
ERRATA SOMMER li, U-TEBAY 1 SOMMER li, l». in tf (V31) fd) /' JOT (3,1- V=. H) y read 1(3, 1+V~. U) / VON STERNECK 1 B page 969 • for read 106553 -28 -26 106554 -29 -27 106555 -30 -28 106556 -30 -28 106557 -31 -29 106558 -30 -28 (1) 1 (H. H. MITCHELL) • for read 106561 -28 -30 106562 -27 -29 106563 -26 -28 106564 -26 -28 106565 -25 -27 106566 -26 -28 VON STERNECK 3. « = 32822/or 4 read 3 SYLVESTER li. (VON STERNECK 2, p. 1058) (DICKSON 9, p. 125) , for read 9 -1 +1 10 +1 -i 14 +2u — 2« 18 + 1 -1 19 10«* -20«2 22 +1 -1 22 -3u +3u „ for read 23 36«j 36tt7 25 —Su +5« 29 28«3 28a2 30 tt»-9M»H hi ut+u*—bi*- 31 — 4w -Su 33 -1 +1 36 9tt* 9«* SYLVESTER 2i, 22. « = 688/or 536 read 336. TANNER 2. (D. H. LEHHER, Annats of Math., s. 2, v. 31, 1930, p. 436) (GLAISHER 27, p. vii) page 257, in reciprocal factor of /> = 2161,/or ?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. reciprocal Q 6, 8, 46,15, 16 55 (CUNNINGHAM 42, p. 66) page 111,/or 34, 143, 145, 1716 read 24, 143, 145, 1716 page 112, for 330, 644, 725, 107226 read 333, 644, 725, 107226 also change order of entry, page 112, for area 863 550 read 934 800 page 113,/or 21, 61, 65, 420 read 14, 61, 65, 420 (HALSTED 1) (MARTIN 2, p. 309, 321) [169]

OCR for page 127
TEEGE I-WHITFORD 1 ERRATA TEEGE 1. in «=41, coefficient of a* in z,for 1 read 2 in n=97, coefficient of xi in z,for 40 read 44 VEGA li, 12, [d]. N factors 27293 7-7-557 33293 13-13-197 41779 41 • 1019 55403 17-3259 55517 7-7-11 103 57103 17-3359 N factors 82943 7-17-17-41 90983 37 • 2459 93137 11-8467 95017 13-7309 95623 11-8693 (CUNNINGHAM 41, p. 27) li, It, I«J. detete 173279, insert 177347 (CHERNAC 1; correction of the corresponding table in Vega's Logarithmisch-trigonomctrische Tafeln, v. 2, Leipzig, 1797, reprinted in VEGA li, 12.) VEREBRIUSOV 1. for read 32,19,1: 29,26,1 32,19,1: 29,26,11 49,28,3: 41,37,6 49,28,3: 41,37,36 insert 44, 12, 2: 38, 36, 8 WERTHEIM 2. delete asterisk on £=1213, 1993, 2437, 2729 insert asterisk on />-2731, 2887 page 316 318 319 t 1013 1021 2161 2593 2999 (WERTHEIM 4, p. 157) for i — read 2 3 7 10 14 23 10 7 7 17 WERTHEIM 4. page 154 155 t 3181 3191 3631 3967 4111 4657 4751 for i- 11 17 21 13 17 5 37 read 7 11 15 6 12 15 19 WHITFORD 1 [m]. A 1733 The 6th partial quotient should be 3 and not 2. 1822 The 23d partial quotient and denominator of the 23d complete quotient are missing. They are 1 and 54 respectively. 1852 The 29th partial quotient should be 20 and not 16. 1963 The entry here should be: [170]

OCR for page 127
ERRATA WIEFERICH 1 WHITFORD 1—continued 44 3 3 1 2 3 2 29 9 1 4 (3) 27 22 51 29 23 38 3 9 66 17 (26) 1549 y-12223 09542 82674 74959 34242 68334 63805- 08818 07626 31786 81966 09867 28279 63220 1566 jr=308792110 1615 y-81732 1669 y- 572 84717 32803 87374 12405 68998 80229 34138 39259 82496 64340 (D. H. LEHMER 11, p. 548, 550) WIEFERICH 1. page 75 for md 232. ..239 17. ..24 232. ..238 17.. .23 240. ..250 8. .. 18 239. ..250 6.. . 17 264. ..271 18. ..25 264. ..270 18.. .24 272. ..282 9. .. 19 271. ..282 7.. . 18 291. . .303 3. ..15 291 . . .302 3.. .14 304. ..314 10. . .20 303. . .314 8.. .19 323. ..335 4. ..16 323. ..334 4.. . 15 336. ..346 11. ..21 335. ..346 8.. .20 355. . .367 5. ..17 355. ..366 5.. .16 368. ..378 12. ..22 367. ..378 10.. .21 387. ..399 6. ..18 387. ..398 6.. . 17 400... 410 13 ... 23 399 ... 410 11... 22 [171]

OCR for page 127