SUBJECT INDEX. 
Abundant, 3, 7, 11, 14, 15, 20, 
31-3 
Agreeable, 38, 458 
Algebraic numbers, 86, 221, 
245, 251, 322, 379, 417, 
447-8 
Aliquot parts, 3, 50-8 
Amantes, 39 
Amiable, 38, 41 
Amicable, 5, 38-50 
of higher order, 49, 50 
triple, 50 
Anatomiae numeronmi, 348 
Approximation, 114-5, 158, 
281-3, 318, 330-1, 352, 354, 
411, 422-3, 430, 448 (see 
asymptotic, mean) 
Arrangement in cycles, 269 
Arithmetical progression, 
100-1, 114, 131, 336, (see 
prime) 
Associated numbers, 64-6, 73 
Asj-mptotic, 119, 122, 126-7, 
129-132, 134-6, 138, 144, 
154-5, 214-5, 289, 291, 
294, 301-2, 305-6, 308, 
317-325, 328, 333, 416-9, 
434-6, 438-440, 450 (see 
approximation, mean) 
Aurifeuillian, 386, 390 
Base, 178, 182, 186, 199, 273, 
338, 340-1, 354-5, 369, 
373, 375, 379, 385, 398, 
454, 456, 458-460, 463^ 
(see digits, periodic) 
Befreundete, 38 
Belongs (see exponent) 
Bemoullian numbers, 100, 
109, 110, 112, 140-1, 145- 
6, 220, 274, 278, 309, 311 
Bernoulli's function, 268, 325 
Bertrand's postulate, 132, 
413, 425, 435-6 
Bilinear form, 409 
Binomial coefficients, 59, 62, 
67, 77, 91, 97, 99, 266-278 
congruence, 92-5, 105, 
175, 177, 204-222, 388, 391 
, identical, 78, 
82, 87-9, 94-5 
Casting out nines, 337-346 
Characters, 201, 415 
Circular permutations, 75, 78, 
81, 131, 136 
(484) 
Combinations, 77, 90-1, 106, 
261, 281, 303, 410 
Complementary fractions, 156 
Congeneres, 39 
Congruence (see binomial) 
, cubic, 252-6, 262 
, higher, 223-61 
, identical, 73. 87-9 
, involving factorials, 
275-8, 428 
-, irreducible, 84, 234- 
52 
, quartic, 254-5, 259, 
260 
Congruent form, 362 
fractions, 258-9 
series, 259 
Conjugate functions, 444 
Consecutive numbers, 147, 
332, 353, 355, 373, 457 (see 
product) 
Continued fractions, 138, 
158, 210, 363, 367-8, 381, 
393, 399, 403, 408-9 
Crib (see sieve) 
Criteria for given divisor, 337 
Cyclotomic function, 199, 245, 
378, 383-5, 387-90, 418 
Decimal (see periodic) 
Defective, 3 
Deficient, 3 
Determinant, 77, 87, 97, 137, 
149, 150-1, 226, 228, 231, 
233, 261, 288, 295, 321, 
336, 368, 399, 410-1, 444, 
446 
=c (modm), 155, 261 
of Smith, 122-4, 127- 
130, 136 
Diatomic series, 439 
Differences of order m, 62— i, 
74, 78, 79, 204 
two primes, 
424-5 
squares, 357 
Digits, 81, 343, 353-4, 358, 
360, 366, 438, 453-65 
of perfect number, 7, 
10, 17, 20 
permuted in multi- 
Digits, sum of, 263-4, 266, 
272, 337-8, 342-3, 367, 455, 
457-8, 461-4 
Diminute, 3, 4 
Equivalent fractions, 135 
EucUdean number, 28 
Euler's constant, 122, 134, 
136. 281-3, 289, 294, 317- 
24, 328-30 
criterion, 67, 205 
generalization of Fer- 
mat's theorem, 60-89, 398, 
400 
numbers, 363 
0-function, 82, 85, 
110, 113-58, 182, 285-6, 
293, 312, 333-6, 404, 434, 
441-2, 446 
, gener- 
alized by Schemmel, 147 
Jordan, 
123, 132, 147, 252, 298-9 
Exc^dant, 3 
Excess E of divisors 4m-|-l 
over divisors 4m-|-3, 281, 
289, 293, 295-6, 300-1, 308, 
318-9 
of odd over even 
divisors, 290-1, 317-8 
Exclusion method, 207, 369- 
70 
Exponent, 61, 112, 163, 169, 
181-204, 240, 242-3, 246, 
257, 259, 260 (see Haupt) 
to which 10 belongs, 
159-204, 339, 341-2 
2 be- 
longs, 111, 181, 190-1, 193, 
198, 200, 203, 369-70 
Factor tables, 347 (see graph- 
ical) 
Factorial, 62-3, 77, 263-78 
Factoring, 13, 25, 241, 248, 
252, 357 (see graphical, cri- 
teria, sieve) 
, number of ways of, 
52, 109, 282, 285, 298, 331 
Factors of 10" ±1, 159-179 
— 2''-l (see per- 
ples, 164-5, 170, 174, 176-7, 
458-9 
feet) 
381-91 
a^^b", 258, 
