benchmarks.wiki

benchmarks.wiki / Public workspace

OlympiadBench / 2257 / The Sieve of Sundaram uses the following infinite table of positive integers:

Problem

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

question

The Sieve of Sundaram uses the following infinite table of positive integers: | 4 | 7 | 10 | 13 | ⋯\cdots | | :---: | :---: | :---: | :---: | :---: | | 7 | 12 | 17 | 22 | ⋯\cdots | | 10 | 17 | 24 | 31 | ⋯\cdots | | 13 | 22 | 31 | 40 | ⋯\cdots | | ⋮\vdots | ⋮\vdots | ⋮\vdots | ⋮\vdots | | The numbers in each row in the table form an arithmetic sequence. The numbers in each column in the table form an arithmetic sequence. The first four entries in each of the first four rows and columns are shown. Determine the number in the 50th row and 40th column.
Plain-text mathematical notation (without MathML)
The Sieve of Sundaram uses the following infinite table of positive integers:

| 4 | 7 | 10 | 13 | ⋯ |
| :---: | :---: | :---: | :---: | :---: |
| 7 | 12 | 17 | 22 | ⋯ |
| 10 | 17 | 24 | 31 | ⋯ |
| 13 | 22 | 31 | 40 | ⋯ |
| ⋮ | ⋮ | ⋮ | ⋮ |  |

The numbers in each row in the table form an arithmetic sequence. The numbers in each column in the table form an arithmetic sequence. The first four entries in each of the first four rows and columns are shown.
Determine the number in the 50th row and 40th column.
Original LaTeX notation
The Sieve of Sundaram uses the following infinite table of positive integers:

| 4 | 7 | 10 | 13 | $\cdots$ |
| :---: | :---: | :---: | :---: | :---: |
| 7 | 12 | 17 | 22 | $\cdots$ |
| 10 | 17 | 24 | 31 | $\cdots$ |
| 13 | 22 | 31 | 40 | $\cdots$ |
| $\vdots$ | $\vdots$ | $\vdots$ | $\vdots$ |  |

The numbers in each row in the table form an arithmetic sequence. The numbers in each column in the table form an arithmetic sequence. The first four entries in each of the first four rows and columns are shown.
Determine the number in the 50th row and 40th column.

answer type

Numerical

is multiple answer

false

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
2257
task_id
5b09a2f9-a57e-584c-b8d9-ef237d39f05b
task_key
OE~5fTO~5fmaths~5fen~5fCOMP--train--2257
task_revision_id
4
config / split
OE_TO_maths_en_COMP / train

Official source

initial import