Subject Index 
485 
Farey series, 155-8 
Fermatian function, 385 
Fermat's numbers 22° +1, 94, 
140, 199, 375, 398, 401 
theorem, 12, 17, 18, 
59-89, 179 
— , converse of, 
— , generaliza- 
tion, 84-9, 406 (see Galois) 
Finite algebra, 388 
differences, 250, 394, 
91-5 
407 
field, 247, 250 
Flachen Zahlen, 4 
Frequency of a divisor, 126 
Galois field, 232, 247, 250 
imaginary, 233-55 
Galois' generalization of Fer- 
mat's theorem, 235, 240, 
246-7, 249, 250, 252, 403 
Wil- 
son's theorem, 240, 246-7, 
252 
Gaussien, 194 
Graphical factoring, 351, 353- 
4, 356, 365, 369, 372, 374 
representation of di- 
visors, 330, 351, 354 
Greatest common divisor, 
139, 147, 150, 252, 328, 
332-6, 394, 401-3, 447, 
456, 462 (see determinant 
of Smith) 
di\asor, 329, 331 
integer in, 89, 119, 
121-2, 126, 130, 132, 138, 
144, 153, 158, 263, 282, 
293, 295, 297-9, 302-3, 
319, 427, 429-432, 450-1 
Goldbach's theorem and anal- 
ogues, 421-5 
Golden section, 411 
Ground forms, 268 
Groups, 78, 80-1, 84-5, 131, 
137, 152, 155, 177, 194, 
196-8, 201, 203, 216, 221, 
248, 251, 268, 287, 332, 
356, 414-5 
Haupt-exponent, 190, 200, 203 
Hexagon, 9, 411 
Highest prime power in m.\, 
263, 272 
a poly- 
nomial, 334 
Highly composite number, l323 
History, 32, 84, 157, 200, 
342, 353 
Hyper-even number, 379 
Hyper-exponential number, 
379 
Idoneal (idoneus), 361-5 
Imperfectly amicable, 50 
Index, 85, 182-3, 185, 188, 
190-4, 197-204, 211, 240, 
244-5, 249, 251 
Indian, 337 
Indicator, 118, 131, 155, 186, 
194, 200 
Indivisibilis, 6 
Integral logarithm, 353, 417, 
440 
Invariant, 89, 232-3, 260, 364 
Inversion, 84, 120, 127, 129, 
132-3. 135, 140, 145, 150, 
153, 234, 296, 429, 430, 
441-8 
Irreducible function, 234-252 
fraction, 126, 129, 
133, 138, 155-8; 162, 175 
Kerne, 334 
Korper Zahlen, 4 
Kronecker's plane, 155 
Lattice, 173 
Leaf arrangement, 411 
Least common multiple, 82, 
328, 332-6, 445, 464 
residue, 341-2,344,369 
Legendre-Jacobi symbol, 109, 
210,219,249,251,255,260, 
276, 288, 300, 308, 330, 364, 
382, 385, 394, 398 
Linear differential form, 248, 
250 
forms of divisors, 160, 
362-4, 370, 382, 386, 390, 
399 
function, 117-8, 134, 
204-5 
nimabers, 4 
Lucas' un, vn, 218, 395, 418 
Lucassian, 27 
Mangelhaft, 3 
Matrix, 137, 226, 228, 233 
Maximum divisor, 332 
Mean, 281, 291-4, 301-2, 305, 
312, 318, 320, 328-331, 333, 
335, 447 (see asymptotic) 
Mediation, 156 
Mersenne number, 31 
Mobius' (Merten's) function 
M(n), 86, 122, 127-9, 144-5, 
148-9, 150-1, 265, 289, 322- 
3, 329, 335, 431, 441-9, 462 
gener- 
alized, 135-6 
Modular system, 88, 249, 
251, 402 
Mosaic, 212 
Multinomial coefficient, 59, 
266-78 
Multiply perfect, 33 
Nim (game), 460 
Nombres associes, 50 
Norm, 236, 252, 322 
Normal order, 325 
Nmnber of divisors, 51, 54, 
135-6, 142, 279-325, 328, 
443, 451 
integers divis- 
ible by nth power, 327-32 
solutions of 
ui . . . ujk = n, 125, 149,291, 
298, 308, 312, 317, 324 
n = x'^y^, 
318 
Numerical integrals and de- 
rivatives, 152, 449 
Order modulo m, 138 
of root, 189 
Partial fraction, 73, 135, 161, 
198, 410 
Partition, 279, 290, 292, 303, 
312, 427, 438 
Patrone, 349 
Pedal triangle, 86, 388, 402 
Pell equation, 56, 367-8, 393 
Pentagonal number, 279, 292, 
312 
Perfect number, 3-33, 38 
of second kind, 
58 
Period, 133, 182, 202, 207 
Periodic fraction, 75-6, 82, 
92, 159-179, 193, 202, 339- 
341, 371, 379, 386, 454 
Pei-mutations, 78-80, 131, 136 
Plateau's theorem, 456, 460, 
463 
Pluperfect, 33 
Plus quam-perfectus, 3 
Polygon, cm-viUnear, 85 
, inscribed in cubic 
curve, 85, 150 
regular, 71, 75, 133, 
139, 193, 375 
Polynomial, divisors of, 384, 
393^ 
in X divisible by m for 
every x, 87, 89, 336 
Primary function, 240 
Prime functions (see irredu- 
cible) 
pairs, 353, 425, 438 
