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Omni-MATH / Does there exist a finite set of real numbers such that their sum equals 2, the sum of their squares equals 3, the sum of their cubes equals 4, ..., and the sum of their ninth powe…

Problem

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problem

Does there exist a finite set of real numbers such that their sum equals 22, the sum of their squares equals 33, the sum of their cubes equals 44, ..., and the sum of their ninth powers equals 1010?
Plain-text mathematical notation (without MathML)
Does there exist a finite set of real numbers such that their sum equals 2, the sum of their squares equals 3, the sum of their cubes equals 4, ..., and the sum of their ninth powers equals 10?
Original LaTeX notation
Does there exist a finite set of real numbers such that their sum equals $2$, the sum of their squares equals $3$, the sum of their cubes equals $4$, ..., and the sum of their ninth powers equals $10$?

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Source and history

task_id
d1596b45-dc88-52d4-a4a8-12e87087b211
task_key
test--d1596b45-dc88-52d4-a4a8-12e87087b211
task_revision_id
1
config / split
/ test

Official source

initial import