tracking problems list: Erdős problems

[mo271]

Tracking all problems from https://www.erdosproblems.com/, which still need work to formalize them.

Here "🤔" marks open problems and "💡 marks solved problems. We remove the problems from this list when they are formalized and no TODOs are left int the file.

• 💡 2
• 🤔 3 3.lean contains TODO, WIP: Erdős Problem 3: sum of reciprocals bounded -> must contain long arithmetic progressions. #187
• 🤔 5 Erdős Problem 5: limit points of $(p_{n+1} - p_n)/\log n$ #188 , WIP: Add Erdos 5 #238
• 💡 6
• 💡 7 up for grabs: Erdős Problem 7: covering system, all moduli odd? #189
• 💡 8
• 🤔 11 11.lean should contain TODO
• 🤔 12 12.lean, contains TODO, see Formalise Erdos Problem 12 #40
• 💡 13
• 🤔 14 up for grabs: Erdős Problem 14: Size of unique sum representations from a set A⊆N #194
• 🤔 15 up for grabs: Erdős Problem 15: Convergence of a sum involving prime reciprocals #195
• 💡 16
• 🤔 18 up for grabs: Erdős Problem 18: practical numbers #197
• 💡 19
• 🤔 20 up for grabs: Erdős Problem 20: uniform sets containing sunflowers #198
• 💡 21
• 💡 22
• 🤔 23 up for grabs: Erdős Problem 23: Make triangle graph bipartite #199
• 💡 24
• 🤔 25 up for grabs: Erdős Problem 25: logarithmic density for a sequence avoiding size-dependent congruences #200
• 💡 26
• 💡 27
• 🤔 28 28.lean contains TODO
• 💡 29
• 🤔 30 30.lean contains TODO
• 💡 31
• 🤔 32 up for grabs: Erdős Problem 32: additive complements to the primes #206
• 🤔 33 assigned: Erdős Problem 33 #207
• 💡 34
• 💡 35
• 🤔 36: Erdős Problem 36: the minimum overlap problem #208 WIP: Erdős 36: The minimal overlap problem #215
• 💡 37
• 🤔 38 up for grabs: Erdős Problem 38 #217
• 🤔 39 up for grabs: Erdős Problem 39: Infinite Sidon set with prescribed asymptotics. #218
• 🤔 40 WIP: Erdős Problem 40 #204, Erdős Problem 40 #587
• 🤔 41 assigned: Erdős Problem 41: asymptotics of infinite sets with distinct triple sums #219
• 🤔 42 up for grabs: Erdős Problem 42 #220
• 🤔 43 assigned: Erdős Problem 43 #221
• 💡 45
• 💡 46
• 💡 47
• 💡 49
• 🤔 50 up for grabs: Erdős Problem 50: Differentiability of the phi(n)/n distribution #270
• 🤔 51 up for grabs: Erdős Problem 51: Extremal property of Euler's totient #271
• 🤔 52 up for grabs: Erdős Problem: An Erdős-Szemerédi sum-product conjecture #272
• 💡 53
• 💡 54
• 💡 55
• 💡 56 56.lean contains TODO!
• 💡 57
• 💡 58
• 💡 59
• 🤔 60 up for grabs: Erdős Problem 60: copies of $C_4$ in graph with extremal number. #273
• 🤔 61 up for grabs: Erdős Problem 61: Erdős–Hajnal conjecture #274
• 🤔 62 up for grabs: Erdős Problem 62: uncountably infinite chromatic number yet no common infinite subgraphs? #275
• 💡 63
• 🤔 64 up for grabs: Erdős Problem 64: Cycles of length power-of-two in graphs with min degree >= 3. #276
• 🤔 65 up for grabs: Erdős Problem 65 #277
• 🤔 66 up for grabs: Erdős Problem 66: Dirichlet self-convolution is asymptotic to log n #278
• 💡 67
• 🤔 70 up for grabs: Erdős Problem 70 #303
• 💡 71
• 💡 72
• 💡 73
• 🤔 74 up for grabs: Erdős Problem 74 #304
• 🤔 75 up for grabs: Erdős Problem 75 #305
• 💡 76
• 🤔 77 up for grabs: Erdős Problem 77: Asymptotics of diagonal Ramsey number. #306
• 🤔 78 up for grabs: Erdős problem 78: Constructive proof for asymptotics of diagonal Ramsey number #308
• 💡 79
• 🤔 80 up for grabs: Erdős Problem 80 #309
• 🤔 81 up for grabs: Erdős Problem 81: Partition of chordal graphs into cliques. #310
• 🤔 82 up for grabs: Erdős Problem 82 #311
• 💡 83
• 🤔 84 up for grabs: Erdős Problem 84: asymptotics of number of cycle sets in graphs #318
• 🤔 85 up for grabs: Erdős Problem 85 #319
• 🤔 86 up for grabs: Erdős Problem 86: subgraphs of the hypercube containing $C_4$ #320
• 🤔 87 up for grabs: Erdős Problem 87 #321
• 💡 88
• 🤔 89 up for grabs: Erdős Problem 89: Set in R² with many distinct distances #322
• 🤔 90 up for grabs: Erdős Problem 90: Set in R² with few distance one pairs #323
• 🤔 91 up for grabs: Erdős Problems 91 #324
• 🤔 92 up for grabs: Erdős Problem 92 #325
• 💡 93
• 💡 94
• 💡 95
• 🤔 96 up for grabs: Erdős Problem 96 #326
• 🤔 97 up for grabs: Erdős Problem 97 #327
• 🤔 98 up for grabs: Erdős Problem 98 #328
• 🤔 99 up for grabs: Erdős problem 329: asymptotics of Sidon sets #224
• 🤔 100 Erdős Problem 100 #330 WIP: added Erdős Problem 100 #331
• 🤔 101 up for grabs: Erdős Problem 101 #332
• 🤔 102 up for grabs: Erdős Problem 102 #333
• 🤔 103 up for grabs: Erdős Problem 103: diameter minimising incongruent sets #334
• 🤔 104 up for grabs: Erdős Problem 104 #335
• 🤔 105 up for grabs: Erdős Problem 105 #336
• 🤔 106 up for grabs: Erdős Problem 106: pack squares inside square #337
• 🤔 107 up for grabs: Erdős Problem 107: minimal number of points containing an $n$-gon #338
• 🤔 108 Erdős Problem 108 #339, WIP: Erdos Problems 108 and 740! #454
• 💡 109
• 🤔 110 up for grabs: Erdős Problem 110 #340
• 🤔 111 up for grabs: Erdős Problem 111 #341
• 🤔 112 up for grabs: Erdős Problem 112 #357
• 💡 113
• 🤔 114 up for grabs: Erdős Problem 114: maximize length of curve of modulus one curve. #358
• 💡 115
• 💡 116
• 🤔 117 up for grabs: Erdős Problem 117: cover group with a minimal number of Abelian subgroups #359
• 💡 118
• 🤔 119 up for grabs: Erdős Problem 119 #360
• 🤔 120 up for grabs: Erdős Problem 120: The Erdős similarity problem #361
• 💡 121
• 🤔 122 up for grabs: Erdős Problem 122 #362
• 🤔 123 up for grabs: Erdős Problem 123 #363
• 🤔 124 up for grabs: Erdős Problem 124 #365
• 🤔 125 up for grabs: Erdős Problem 125 #366
• 💡 127
• 🤔 128 Erdős Problem 128: Graphs such that every large subgraph has enough edges contain a triangle #367, WIP: Erdős Problem 128 #432
• 🤔 129 up for grabs: Erdős Problem 129 #368
• 🤔 130 up for grabs: Erdős Problem 130 #369
• 🤔 131 up for grabs: Erdős Problem 131: Maximal sets with non-dividing property #370
• 🤔 132 up for grabs: Erdős Problem 132 #371
• 💡 133
• 💡 134
• 💡 135
• 💡 136
• 🤔 137 up for grabs: Erdős Problem 137 #372
• 🤔 138 up for grabs: Erdős Problem 138 #377
• 💡 139 139.lean contains TODO!
• 💡 140
• 🤔 142 up for grabs: Erdős Problem 142 #379
• 🤔 143 143.lean contains TODO!
• 💡 144
• 🤔 145 up for grabs: Erdős Problem 145 #381
• 🤔 146 up for grabs: Erdős Problem 146 #382
• 💡 147
• 🤔 148 up for grabs: Erdős Problem 148: number of ways of writing 1 as Egyptian fraction #383
• 🤔 149 up for grabs: Erdős Problem 149 #384
• 💡 150
• 🤔 151 up for grabs: Erdős Problem 151 #388
• 🤔 152 up for grabs: Erdős Problem 152 #389
• 🤔 153 up for grabs: Erdős Problem 153 #390
• 💡 154
• 🤔 155 up for grabs: Erdős Problem 155 #391
• 🤔 156 up for grabs: Erdős Problem 156: Maximal Sidon set of size $O(N^{1/3})$ #392
• 💡 157
• 🤔 158 up for grabs: Erdős Problem 158 #393
• 🤔 159 up for grabs: Erdős Problem 159 #394
• 🤔 160 WIP: Erdős Problem 160 #413
• 🤔 161 up for grabs: Erdős Problem 161 #396
• 🤔 162 up for grabs: Erdős Problem 162 #397
• 💡 163
• 💡 164
• 🤔 165 up for grabs: Erdős Problem 165: asymptotics of R(3,k) #398
• 💡 166
• 🤔 167 up for grabs: Erdős Problem 167 #399
• 🤔 169 up for grabs: Erdős Problem 169 #400
• 🤔 170 up for grabs: Erdős Problem 170: The Sparse Ruler problem #401
• 💡 171
• 🤔 172 up for grabs: Erdős Problem 172 #402
• 🤔 173 up for grabs: Erdős Problem 173 #403
• 🤔 174 up for grabs: Erdős Problem 174 #404
• 💡 175
• 🤔 176 up for grabs: Erdős Problem 176 #405
• 🤔 177 up for grabs: Erdős Problem 177 #406
• 💡 178
• 💡 179
• 🤔 180 up for grabs: Erdős Problem 180 #407
• 🤔 181 up for grabs: Erdős Problem 181 #408
• 💡 182
• 🤔 183 up for grabs: Erdős Problem 183 #409
• 🤔 184 up for grabs: Erdős Problem 184: decompose graph in linear number of cycles and edges #410
• 💡 185
• 💡 186
• 🤔 187 up for grabs: Erdős Problem 187 #411
• 🤔 188 up for grabs: Erdős Problem 188 #412
• 🤔 190 up for grabs: Erdős Problem 190 #414
• 💡 191
• 💡 192
• 🤔 193 up for grabs: Erdős Problem 193 #415
• 💡 194
• 🤔 195 up for grabs: Erdős Problem 195 #416
• 🤔 196 up for grabs: Erdős Problem 196 #417
• 🤔 197 up for grabs: Erdős Problem 197 #418
• 💡 199
• 🤔 201 up for grabs: Erdős Problem 201 #420
• 🤔 202 up for grabs: Erdős Problem 202 #421
• 🤔 203 203.lean contains TODO!
• 💡 204
• 🤔 205 up for grabs: Erdős Problem 205 #423
• 💡 206
• 💡 207
• 🤔 208 WIP: Formalise Erdos Problem 208 #51
• 💡 209
• 💡 210
• 💡 211
• 🤔 212 Erdős Problem 212: dense subset of R² with only rational distances #424, WIP: Erdős Problem 212 #452
• 🤔 213 up for grabs: Erdős Problem 213 #425
• 💡 214
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• 💡 216
• 🤔 217 up for grabs: Erdős Problem 217 #426
• 🤔 218 up for grabs: Erdős Problem 218 #427
• 💡 220
• 💡 221
• 🤔 222 up for grabs: Erdős Problem 222 #428
• 🤔 223 up for grabs: Erdős Problem 223 #429
• 💡 224
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• 💡 227
• 💡 228 228.lean contains TODO!
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• 💡 231
• 💡 232
• 🤔 233 WIP: Erdős Problem 233 #435
• 🤔 234 up for grabs: Erdős Problem 234 #436
• 💡 235
• 🤔 236 236.lean should contain TODO Erdős Problem 236: Number of solutions of n=p+2^k #437
• 💡 237
• 🤔 238 up for grabs: Erdős Problem 238 #438
• 💡 239
• 💡 240
• 🤔 241 up for grabs: Erdős Problem 241 #439
• 💡 246
• 🤔 251 up for grabs: Erdős Problem 251 #442
• 🤔 252 up for grabs: Erdős Problem 252 #443
• Erdős Problem 253 #649
• 🤔 254 up for grabs: Erdős Problem 254 #444
• 💡 255
• 🤔 256 up for grabs: Erdős Problem 256 #445
• 🤔 259 259.lean
• 🤔 260 up for grabs: Erdős Problem 260 #457
• 🤔 261 up for grabs: Erdős Problem 261 #458
• 💡 262
• 🤔 263 up for grabs: Erdős Problem 263 #459
• 🤔 264 up for grabs: Erdős Problem 264 #460
• 🤔 265 up for grabs: Erdős Problem 265 #461
• 💡 266
• 💡 268
• 🤔 269 WIP: Erdős Problem 269 #462
• 💡 270
• 🤔 271 up for grabs: Erdős Problem 271 #463
• 🤔 272 up for grabs: Erdős Problem 272 #464
• 🤔 273 up for grabs: Erdős Problem 273: covering system with moduli p - 1 #465
• 🤔 274 WIP: Formalise Erdos Problem 274 #46
• 💡 275
• 🤔 276 up for grabs: Erdős Problem 276 #466
• 💡 277
• 🤔 278 up for grabs: Erdős Problem 278 #467
• 🤔 279 up for grabs: Erdős Problem 279 #468
• 💡 280 up for grabs: Erdős Problem 280 #469
• 🤔 281 up for grabs: Erdős Problem 281 #470
• 🤔 282 up for grabs: Erdős Problem 282 #471
• 🤔 283 up for grabs: Erdős Problem 283 #472
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• 🤔 287 up for grabs: Erdős Problem 287 #473
• 🤔 288 up for grabs: Erdős Problem 288 #474
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• 🤔 291 up for grabs: Erdős Problem 291 #475
• 💡 292
• 🤔 293 up for grabs: Erdős Problem 293 #476
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• 💡 297
• 💡 299 WIP: Formalise Erdos Problem 299 #50
• 💡 300
• 🤔 301 up for grabs: Erdős Problem 301 #477
• 🤔 302 up for grabs: Erdős Problem 302 #478
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• 🤔 306 WIP: Erdős Problem 306 #479
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• 🤔 311 up for grabs: Erdős Problem 311 #480
• 🤔 312 up for grabs: Erdős Problem 312 #481
• 🤔 313 WIP: Erdős Problem 313 #482
• 💡 314
• 💡 315
• 💡 316 316.lean
• 🤔 317 up for grabs: Erdős Problem 317 #483
• 🤔 318 up for grabs: Erdős Problem 318 #484
• 🤔 320 up for grabs: Erdős Problem 320 #485
• 🤔 321 up for grabs: Erdős Problem 321 #486
• 🤔 322 up for grabs: Erdős Problem 322 #487
• 🤔 323 up for grabs: Erdős Problem 323 #488
• 🤔 324 WIP: Erdős Problem 324 #489
• 🤔 327 up for grabs: Erdős Problem 327 #490
• 💡 328
• 🤔 330 up for grabs: Erdős Problem 330 #491
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• 🤔 332 up for grabs: Erdős Problem 332 #492
• 🤔 333 up for grabs: Erdős Problem 333 #493
• 🤔 334 up for grabs: Erdős Problem 334 #494
• 🤔 335 up for grabs: Erdős Problem 335 #495
• 🤔 336 up for grabs: Erdős Problem 336 #496
• 💡 337
• 🤔 338 up for grabs: Erdős Problem 338 #497
• 🤔 339 up for grabs: Erdős Problem 339 #498
• 🤔 340 up for grabs: Erdős Problem 340 #499
• 🤔 341 up for grabs: Erdős Problem 341 #500
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• 🤔 345 up for grabs: Erdős Problem 345 #501
• 🤔 346 up for grabs: Erdős Problem 346 #502
• 🤔 349 up for grabs: Erdős Problem 349 #504
• 🤔 351 up for grabs: Erdős Problem 351 #505
• 🤔 352 352.lean should contain little TODO
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• 🤔 354 up for grabs: Erdős Problem 354 #507
• 🤔 355 up for grabs: Erdős Problem 355 #508
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• 🤔 357 up for grabs: Erdős Problem 357 #509
• 🤔 358 up for grabs: Erdős Problem 358 #510
• 🤔 359 up for grabs: Erdős Problem 359 #511
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• 🤔 361 up for grabs: Erdős Problem 361 #512
• 💡 362
• 💡 363
• 🤔 364 assigned: Erdős Problem 364: Triples of consecutive integers powerful? #373
• 🤔 365 up for grabs: Erdős Problem 365 #374
• 🤔 366 WIP: Erdős Problems 364 and 366 #513
• 🤔 367
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• 🤔 369
• 🤔 371 WIP: Formalise Erdos Problem 371 #49
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• 💡 402 402.lean contains TODO!
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• 🤔 416 WIP: Formalise Erdos Problem 416 #43
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• 🤔 468 up for grabs: Erdős problem 486: logarithmic density for a sequence avoiding size-dependent congruences #201
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• 💡 522 WIP: Formalise Erdos Problem 522 #42
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• 🤔 624 WIP: Formalise Erdos Problem 624 #45
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• 💡 645 WIP: Erdős Problem 645 #245
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• 🤔 689 WIP: Formalise Erdos Problem 689 #44
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• 🤔 740, WIP: Erdos Problems 108 and 740! #454
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