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MATH / Dayna writes the integers 1,2,3,4,5,6,7,8,9,10,11,12on a chalkboard, then she erases the integers from 1 through 6, as well as their multiplicative inverses pmod{13}. What is the o…

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problem

Dayna writes the integers 1,2,3,4,5,6,7,8,9,10,11,121,2,3,4,5,6,7,8,9,10,11,12on a chalkboard, then she erases the integers from 11 through 66, as well as their multiplicative inverses $\pmod{13}$. What is the only integer Dayna does not erase?
Plain-text mathematical notation (without MathML)
Dayna writes the integers 1,2,3,4,5,6,7,8,9,10,11,12on a chalkboard, then she erases the integers from 1 through 6, as well as their multiplicative inverses $\pmod{13}$. What is the only integer Dayna does not erase?
Original LaTeX notation
Dayna writes the integers $$1,2,3,4,5,6,7,8,9,10,11,12$$on a chalkboard, then she erases the integers from $1$ through $6$, as well as their multiplicative inverses $\pmod{13}$. What is the only integer Dayna does not erase?

level

Level 4

type

Number Theory

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Source and history

task_id
caa46588-9559-5e40-953d-fc65d8a08f02
task_key
number~5ftheory--test--caa46588-9559-5e40-953d-fc65d8a08f02
task_revision_id
1
config / split
number_theory / test

Official source

initial import