Project Euler/251 - charlesreid1

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Problem Statement

Cardano Triplets

A triplet of positive integers (a,b,c) is called a Cardano Triplet if it satisfies the condition:

∛(a + b√c) + ∛(a - b√c) = 1

For example, (2,1,5) is a Cardano Triplet.

There exist exactly 149 Cardano Triplets for which a+b+c ≤ 1000.

Find how many Cardano Triplets exist for which a+b+c ≤ 110,000,000.

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Project Euler

project euler notes

Grid 0: Problems 1-99

Problem 1 · Problem 2 · Problem 3 · Problem 4 · Problem 5 · Problem 6 · Problem 7 · Problem 8 · Problem 9 · Problem 10

Problem 11 · Problem 12 · Problem 13 · Problem 14 · Problem 15 · Problem 16 · Problem 17 · Problem 18 · Problem 19 · Problem 20

Problem 27 · Problem 28 · Problem 29 · Problem 30

Problem 31 · Problem 32 · Problem 33 · Problem 40

Problem 41 · Problem 42 · Problem 43 · Problem 44 · Problem 45 · Problem 46 · Problem 47 · Problem 48 · Problem 49 · Problem 50

Problem 51 · Problem 52 · Problem 53 · Problem 54 · Problem 55 · Problem 56 · Problem 57 · Problem 58 · Problem 59 · Problem 60

Problem 61 · Problem 62 · Problem 63 · Problem 64 · Problem 65 · Problem 66 · Problem 67 · Problem 68 · Problem 69 · Problem 70

Grid 1: Problems 100-199

...

Problem 110 · Problem 111 · Problem 112 · Problem 113 · Problem 114 · Problem 115 · Problem 116 · Problem 117 · Problem 118 · Problem 119

Problem 150 · Problem 151 · Problem 152 · Problem 153 · Problem 154 · Problem 155 · Problem 156 · Problem 157 · Problem 158 · Problem 159

...

Problem 170 · Problem 171 · Problem 172 · Problem 173 · Problem 174 · Problem 175 · Problem 176 · Problem 177 · Problem 178 · Problem 179

...

Problem 190 · Problem 191 · Problem 192 · Problem 193 · Problem 194 · Problem 195 · Problem 196 · Problem 197 · Problem 198 · Problem 199

Grid 2: Problems 200-299

Problem 227 · Problem 254

Grid 3: Problems 300-399

Problem 301 · Problem 310

Problem 312 · Problem 319

Problem 323 · Problem 328

Problem 334 · Problem 337

Problem 345 · Problem 346

Problem 355 · Problem 356

Problem 364 · Problem 367

Problem 373 · Problem 378

Problem 382 · Problem 389

Grid 4: Problems 400-499

Grid 5: Problems 500-599

Problem 500 · Problem 501 · Problem 502

Grid 9: Problems 900-999

* = in progress

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