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CHAP, xii]                    CEITERIA FOR DIVISIBILITY.                           345
C. M. Ingleby for d = 9, 11, British Assoc. Report, 35, 1865, 7 (trans.).
M. Jenkins for any prime d, Math. Quest. Educ. Times, 8, 1868, 69, 111.
F. Unferdinger [Gergonne11], Sitzungsber. Ak. Wiss. Wien (Math.), 59, 1869, II,
465-6.
H. Anton for cZ = 9, 11, 13, 101, Archiv Math. Phys., 49, 1869, 241-308. W. H. Walenn,British Assoc. Report, 40, 1870, 16-17 (trans.); Phil. Mag., (4),
36, 1868, 346-8; (4), 46, 1873, 36-41; (4), 49,.1875, 346-351; (5), 2, 1876,
345; 4, 1877, 378; 9, 1880, 56, 121, 271.
M. A. X. Stouff for d<100, Nouv. Ann. Math., (2), 10,1871,104. J. Lubin, find., (2), 12, 1874, 528-30 (trivial). Szenic for d — 7, 9, 37, Von der Kongruenz der Z., Progr. Schrimm, 1873.
E.  Brooks for d = 7, Des Moines Analyst, 2, 1875, 129.
W. J. Greenfield and M. Collins for d=47, 73, Math. Quest. Educ. Times, 22, 1875, 87.
F. da Ponte Horta for d=7, 9,11,13, Jornal de Sciencias Mat. Ast., 1,1877, 57-62. Mennessonfor d = 7, Nouv. Corresp. Math., 4,1878, 151; generalization by Cesaro,
p. 156. C. Lange, for d = 7,13,17,19, Ueber die Teilbarkeit der Zahlen, Progr., Berlin, 1879.
F.  Jorcke for d = 7, 9, 11, Ueber Zahlenkongruenzen..., Progr. Fraustadt, 1878. K. Broda for any base, Archiv Math. Phys., 63, 1879, 413-428.
A. Badoureau for d = 19. Nouv. Ann. Math., (2), 18, 1879, 35-6. S. M. Drach for d = 7, Math. Quest. Educ. Tunes, 35, 1881, 71-2. W. A. Pick for d = 7, ibid., 38, 1883, 64.
A. Evans for d = 7, Des Moines Analyst, 10, 1883,134. K. Haas, Theilbarkeitsregeln.. ., Progr., Wien, 1883.
G. Wertheim, Elemente der Zahlentheorie, 1887, 31-33.
B. Adam for d<100, Ueber die Teilbarkeit. .., Progr. Gym. Clausthal, 1889. A. Loir for d< 138, Jour, de math. ele*m., 1889, 66, 107-10,121-3.
A. G. Fazio [Schlegel26], Sui caratteri..., Palermo, 1889.
E.  Gelin, Mathesis, (2), 2, 1892, 65, 93; (2), 12, 1902, 65-74, 93-99 (extract in
Mathesis, (3), 10, 1910, Suppl. I); Ann. Soc. Sc. Bruxelles, 34, 1909-10, 66;
Recueil de problemes d'arith., 1896.    Extracts by M. Nassd, Revue de Math.
(ed., Peano), 7, 1900-1, 42-52. Speckmann, Dorsten, Haas, Dorr, Zeitschrift Math. Phys.,   37,  1892, 58, 63,
128, 192, 383.
Lalbaletrier, Jour, de Math, (ed., de Longchamps), 1894, 54. H. T. Burgess [Pascal4], Nature, 57, 1897-8, 8-9, 30, 55. A. Conti [Pascal4], Periodico di Mat., 13, 1898, 180-6, 207-9.
F.  Mariantoni, ibid., 149-151, 191-2, 217-8.
T. Lange for d<30, Archiv. Math. Phys., (2), 16, 1898, 220-3.
W. J. Greenstreet, Math. Gazette, 1, 1900, 186-7.
Christie for d = 2np,5np (p prime), Math. Quest. Educ. Times, 73, 1900, 119.
A.  Cunningham and D. Biddle for d=*rp=fcl, ibid., 75, 1901, 49-50. M. Zuccagni for d = 7, Suppl. al Periodico di Mat., 6, fasc. V. Calvitti for d = 7, ibid., 8, fasc. IV.
S. Dickstein, Wiad. Mat., Warsaw, 6, 1902, 253-7 (Polish).
B.  Niewenglowski, ibid., 252-3.
Pietzker ford = 7, 11, 13, 27, 37, Unterrichtsblatter Math. Naturwiss., 9, 1903,
85-110.
A*. Church for d = 7, 13, 17, Amer. Math. Monthly, 12, 1905, 102-3. E. A. Gazes, Assoc. franc.., 36, 1907, 55-63. A. GSrardin for d = 7, 13,17, 37, 43, Sphinx-Oedipe, 1907-8, 2. M. Morale for d=7, Suppl. al Periodico di Mat., 11, 1908, 103. *T. Ghezzi, ibid., 12, 1908-9, 129-130. Lenzi, II Boll. Matematica Gior. Sc.-Didat., 7, 1908.