Number Theory

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In order of increasing difficulty (approximately).

Everything

1123 2394 1126 1125 1189 1002 1085 1065 2372 1346 1796 1443 1224 1188 9 1883 857 1078 1965 1047 1049 1014 1000 1001 2056 1206 846 440 77 69 143 203 179 216 291 293 323 321 351 353 366 456 488 489 518 519 546 549 637 758 788 803 854 1036 1069 504 1095 1214 1242 1623 1649 1673 1734 1817 1819 564 2011 129 141 173 189 220 256 295 306 324 414 442 652 533 579 653 700 711 594 555 784 606 870 1148 2146 2405 1229 1245 1286 97 1904 2196 2288 1075 1216 2304 1521 1371 2311 1953 1974 1192 1193 801 890 961 1194 1267 1349 1372 1385 1406 1816 1834 1950 1972 2031 336 381 1544 763 85 134 2097 146 245 1331 161 266 282 2363 364 2017 1627 340 626 1790 2016 470 221 476 521 1931 1935 628 2245 716 1989 1993 478 793 176 838 1153 450 1911 2273 2075 409 571 390 2121 267 265 1174 1175 124 2404 1413 373 235 1039 1558 943 1026 746 1308 851 1487 1102 703 1151 659 1334 1251 656 1333 581 871 87 1103 258 1858 1022 1466 195 318 107 438 344 841 605 827 710 738 785 452 376 541 720 675 286 120 362 497 679 2358 542 229 184 754 149 194

Arithmetic series

1734 2011

Assign variables to digits

2363

Bases

700 594 373 2358

Be careful

606 851 1466

Bijections

628

Binomial theorem

1673 85

Bounding

1308

Casework

2404

Chicken McNugget

1965

Chinese Remainder Theorem

803 854 161 703 720 675

Decimals

1904

Difference of squares

1734 579 1216

Digits

2394

Diophantine

1443 1734 1817 2011 711 1216 628 409 2404 1558 258

Divisibility

1022

Divisibility tests

2372 442 97 1075 1371 1308

Euclidean algorithm

120

Euler's Theorem

675

Experiment

1075 1022

Factorials

846 2288 2358

Floor & ceiling

571 2358

GCD/LCM

9 69 549 564

Geometric probability

652

Graphing

2097 258

Guess and check

373 1558

Lattice points

69 564

Length chasing

571

Logs

1413

Modular arithmetic

637 788 803 1075 2304 1521 1544 245 161 703 1858 675 2358

Notation

2288 626 470 362

Optimization

9

Organize the count by the right variable

1443

Parity

1443

Pick's Theorem

564

Polynomials

659 656 679

Prime factorization

77 1623 2288 838 87 1466

Recursion

1911

Sigma notation

626 1413

Sum of digits

803

Try them all

2372

Not Classified Yet

1123 1126 1125 1189 1002 1085 1065 1346 1796 1224 1188 1883 857 1078 1047 1049 1014 1000 1001 2056 1206 440 143 203 179 216 291 293 323 321 351 353 366 456 488 489 518 519 546 758 1036 1069 504 1095 1214 1242 1649 1819 129 141 173 189 220 256 295 306 324 414 533 653 555 784 870 1148 2146 2405 1229 1245 1286 2196 2311 1953 1974 1192 1193 801 890 961 1194 1267 1349 1372 1385 1406 1816 1834 1950 1972 2031 336 381 763 134 146 1331 266 282 364 2017 1627 340 1790 2016 221 476 521 1931 1935 2245 716 1989 1993 478 793 176 1153 450 2273 2075 390 2121 267 265 1174 1175 124 235 1039 943 1026 746 1487 1102 1151 1334 1251 1333 581 871 1103 195 318 107 438 344 841 605 827 710 738 785 452 376 541 286 497 542 229 184 754 149 194

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