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Erdős problem 269

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Let PP be a finite set of primes with ∣P∣≥2|P| \ge 2 and let {a1<a2<… }\{a_1 < a_2 < \dots\} be the set of positive integers whose prime factors are all in PP. Is the sum ∑n=1∞1[a1,…,an] \sum_{n=1}^\infty \frac{1}{[a_1,\ldots,a_n]} irrational?

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Problem row
sha256:c082d2e251260668b59a7ae2c5ff2286fd7e9990824c5df5b066e7057ac2cd06
Metadata
sha256:70a9529f252a0e2315cbcf747fcc9cd27ae7921765eab8b1e61a607f80027ef0
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:0190302541a48ac9eb29c6c7691f2a83017798b6b9c24b7ea4f768d9b201feea
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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