Project Euler/243 - charlesreid1

From charlesreid1

Revision as of 21:19, 17 June 2026 by Admin (talk | contribs) (Create Project Euler/243 - Resilience (via create-page on MediaWiki MCP Server))

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem Statement

Resilience

A positive fraction whose denominator exceeds its numerator by exactly 1 is called a resilient fraction.

Let R(d) be the resilience of a denominator d, defined as the proportion of all fractions n/d (with 1 ≤ n < d) that are resilient.

For example, R(12) = 4/11.

Find the smallest denominator d for which R(d) < 15499/94744.

Flags

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

Flags · Template:ProjectEulerFlag · e

Retrieved from "https://charlesreid1.com/w/index.php?title=Project_Euler/243&oldid=30634"