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MATH / What is the residue modulo 13 of the sum of the modulo 13 inverses of the first 12 positive integers? Express your answer as an integer from 0 to 12, inclusive.

Problem

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

problem

What is the residue modulo 1313 of the sum of the modulo 1313 inverses of the first 1212 positive integers? Express your answer as an integer from 00 to 1212, inclusive.
Plain-text mathematical notation (without MathML)
What is the residue modulo 13 of the sum of the modulo 13 inverses of the first 12 positive integers?

Express your answer as an integer from 0 to 12, inclusive.
Original LaTeX notation
What is the residue modulo $13$ of the sum of the modulo $13$ inverses of the first $12$ positive integers?

Express your answer as an integer from $0$ to $12$, inclusive.

level

Level 4

type

Number Theory

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Source and history

task_id
017cceec-ebfd-5171-a9d2-b7bcc9128491
task_key
number~5ftheory--test--017cceec-ebfd-5171-a9d2-b7bcc9128491
task_revision_id
1
config / split
number_theory / test

Official source

initial import