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OlympiadBench / 2329 / For each positive real number x, define f(x) to be the number of prime…

Problem

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

question

For each positive real number

x

, define

f(x)

to be the number of prime numbers

p

that satisfy

x \leq p \leq x+10

. What is the value of

f(f(20))

Plain-text mathematical notation (without MathML)

For each positive real number x, define f(x) to be the number of prime numbers p that satisfy x≤p≤x+10. What is the value of f(f(20)) ?

Original LaTeX notation

For each positive real number $x$, define $f(x)$ to be the number of prime numbers $p$ that satisfy $x \leq p \leq x+10$. What is the value of $f(f(20))$ ?

answer type

Numerical

is multiple answer

false

language

English

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 2329
task_id: 9b7b1d33-5cd1-5184-9d97-3373f07d26fd
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2329
task_revision_id: 3
config / split: OE_TO_maths_en_COMP / train

Official source

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