Unsolved Problems in Number Theory

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Springer Science & Business Media, Jul 13, 2004 - Mathematics - 437 pages
2 Reviews

Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself, and also from the increasing number of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be considered in varying depths by mathematicians at all levels of mathematical maturity.

For this new edition, the author has included new problems on symmetric and asymmetric primes, sums of higher powers, Diophantine m-tuples, and Conway’s RATS and palindromes. The author has also included a useful new feature at the end of several of the sections: lists of references to OEIS, Neil Sloane’s Online Encyclopedia of Integer Sequences.

About the First Edition:

"...many talented young mathematicians will write their first papers starting out from problems found in this book."

- András Sárközi, MathSciNet

  

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Excellent references.

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good college textbook for number study Read full review

Contents

VI
3
VII
7
VIII
10
IX
13
X
22
XI
25
XII
28
XIII
30
CI
218
CII
222
CIII
229
CIV
231
CV
234
CVI
235
CVII
237
CVIII
238

XIV
31
XV
40
XVI
42
XVII
43
XVIII
44
XIX
50
XX
54
XXII
55
XXIII
58
XXIV
66
XXV
67
XXVI
69
XXVII
71
XXIX
74
XXX
84
XXXI
86
XXXII
91
XXXIII
92
XXXIV
95
XXXV
97
XXXVI
99
XXXVII
100
XXXVIII
101
XXXIX
102
XL
103
XLI
104
XLII
105
XLIV
110
XLV
111
XLVI
113
XLVII
119
XLIX
122
L
123
LI
124
LIII
125
LIV
126
LVI
127
LVII
128
LVIII
129
LIX
133
LX
134
LXI
137
LXIII
138
LXIV
142
LXV
144
LXVII
146
LXVIII
147
LXIX
150
LXX
152
LXXI
153
LXXII
154
LXXIV
155
LXXVI
156
LXXVII
157
LXXVIII
159
LXXIX
164
LXXXI
166
LXXXII
167
LXXXIII
169
LXXXIV
171
LXXXV
174
LXXXVI
175
LXXXVII
181
LXXXVIII
184
LXXXIX
185
XC
190
XCI
191
XCII
193
XCIII
198
XCIV
199
XCV
200
XCVI
203
XCVII
204
XCVIII
207
XCIX
209
CIX
242
CX
252
CXI
263
CXII
265
CXIII
266
CXIV
268
CXV
271
CXVI
272
CXVII
275
CXVIII
283
CXIX
287
CXX
290
CXXI
293
CXXII
296
CXXIII
299
CXXIV
301
CXXV
302
CXXVI
306
CXXVII
309
CXXVIII
310
CXXIX
311
CXXXI
312
CXXXII
313
CXXXIII
314
CXXXIV
315
CXXXVI
316
CXXXIX
317
CXL
323
CXLI
325
CXLII
327
CXLIV
329
CXLV
330
CXLVI
336
CXLVII
337
CXLVIII
338
CL
340
CLI
345
CLIII
346
CLIV
347
CLV
349
CLVII
350
CLVIII
352
CLX
353
CLXI
355
CLXII
357
CLXIV
359
CLXV
361
CLXVII
362
CLXVIII
365
CLXX
367
CLXXI
368
CLXXIII
372
CLXXIV
374
CLXXV
376
CLXXVI
377
CLXXVIII
380
CLXXIX
381
CLXXXI
383
CLXXXII
386
CLXXXIII
390
CLXXXIV
391
CLXXXVI
393
CLXXXVII
394
CLXXXVIII
395
CXC
396
CXCII
398
CXCIV
399
CXCV
400
CXCVI
401
CXCVII
403
CXCIX
404
CC
405
CCI
429
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