Erdős problem 699 · problems.science

Erdős Problem 699. Is it true that for every $1 \le i < j \le n / 2$ there exists a prime $p \ge i$ with $p \mid \gcd\big(\binom{n}{i}, \binom{n}{j}\big)$ ?

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Problem row: sha256:4ad495dcd8f24e93cbce0bf2275795d9dacfbca097231811ece941626d25a3d1
Metadata: sha256:01f3c1c72c6ac4cf7b4a18e7ae6b56e5a80bc1a4882de1e7588abf09dcb6945a
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:77e9ca843b3e5f65ab2cfa9c5eac84f488281576a824c9a7bcfa6c483d338df3

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207

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