Hardy-Ramanujan Number 1729
Hardy-Ramanujan Number 1729 is catalogued as a concept in Named Constants Connected with Ramanujan.
What Ramanujan Discovered
Hardy-Ramanujan Number 1729 belongs to the Phase 2 contribution catalogue of major Ramanujan discoveries, named results and formula families. The entry avoids claiming that all 3,900 notebook results are individually transcribed.
Catalogue Position
This entry sits in Named Constants Connected with Ramanujan, one of the 37 Phase 2 contribution areas.
Reading the Entry
Formula panels show canonical notation where available. Broad families are grouped editorially rather than expanded into unsupported individual notebook entries.
Historical Qualification
Ramanujan did not discover 1729 during the taxi conversation; he immediately recognized its special property.
How to Study This Entry
Start with the statement above, then compare its category with nearby entries in the archive. Use the formula permalink when a canonical expression is available, and follow related discoveries to see how the idea connects with partitions, q-series, modular forms, continued fractions, or number theory.
Difficulty is marked as accessible, and the editorial status is needs-review. Records marked for review preserve the contribution but await tighter primary-source citation.
Original Source
Source catalogue. Entries marked for review await the unavailable primary markdown catalogue for exact citation detail.