benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / A Penteria is a special (fictional) kind of bacteria such that, regardless of…

Problem

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

problem

A Penteria is a special (fictional) kind of bacteria such that, regardless of the original population in a collection, the population increases by 55 every minute. Additionally, at the end of every hour, all but the initial ones die. If 137137 Penteria are alive after 506506 minutes, how many were there at the beginning?
Plain-text mathematical notation (without MathML)
A Penteria is a special (fictional) kind of bacteria such that, regardless of the original population in a collection, the population increases by 5 every minute. Additionally, at the end of every hour, all but the initial ones die. If 137 Penteria are alive after 506 minutes, how many were there at the beginning?
Original LaTeX notation
A Penteria is a special (fictional) kind of bacteria such that, regardless of the original population in a collection, the population increases by $5$ every minute. Additionally, at the end of every hour, all but the initial ones die. If $137$ Penteria are alive after $506$ minutes, how many were there at the beginning?

level

Level 5

type

Number Theory

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. 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. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
9545e35d-9380-58aa-9cd0-b3dc704d3fa9
task_key
number~5ftheory--test--9545e35d-9380-58aa-9cd0-b3dc704d3fa9
task_revision_id
1
config / split
number_theory / test

Official source

initial import