benchmarks.wiki

benchmarks.wiki / Public workspace

OlympiadBench / 1962 / Determine all triples (a,b,c) of positive integers for which ab−c,bc−a,…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Determine all triples (a,b,c)(a, b, c) of positive integers for which ab−c,bc−aa b-c, b c-a, and ca−bc a-b are powers of 2 . Explanation: A power of 2 is an integer of the form 2n2^{n}, where nn denotes some nonnegative integer.
Plain-text mathematical notation (without MathML)
Determine all triples (a,b,c) of positive integers for which ab−c,bc−a, and ca−b are powers of 2 .

Explanation: A power of 2 is an integer of the form 2^(n), where n denotes some nonnegative integer.
Original LaTeX notation
Determine all triples $(a, b, c)$ of positive integers for which $a b-c, b c-a$, and $c a-b$ are powers of 2 .

Explanation: A power of 2 is an integer of the form $2^{n}$, where $n$ denotes some nonnegative integer.

answer type

Tuple

is multiple answer

true

language

English

question type

Open-ended

subject

Math

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
1962
task_id
43ae9a5e-2f50-501c-9f9e-b6fdd46c9534
task_key
OE~5fTO~5fmaths~5fen~5fCOMP--train--1962
task_revision_id
4
config / split
OE_TO_maths_en_COMP / train

Official source

initial import