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Erdős problem 303

Is it true that in any finite colouring of the integers there exists a monochromatic solution to 1a=1b+1c\frac 1 a = \frac 1 b + \frac 1 c with distinct a,b,ca, b, c?

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Problem row
sha256:0c56f454e73ae7f375d20c0bdc158c6e81efccac9b3c0e987d1725bf5369388e
Metadata
sha256:c722a9811b83af4cfd0bd2380334a7a970e1e202dc030b9d56b990cb13c139a9
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
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sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207
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