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A Positive Integer 𝑵 Such That 𝒑𝒏 + 𝒑𝒏+𝟑 ~ 𝒑𝒏+𝟏 + 𝒑𝒏+𝟐 For All 𝒏 ≥ 𝑵
According to Bertrand's postulate,we have 𝑝𝑛 + 𝑝𝑛 ≥ 𝑝𝑛+1 . Is it true that for all 𝑛 > 1 then 𝑝𝑛−1 + 𝑝𝑛 ≥ 𝑝𝑛+1? Then 𝑝𝑛 + 𝑝𝑛+3 > 𝑝𝑛+1 + 𝑝𝑛+2where 𝑛 ≥ 𝑁, 𝑁 is a large enough value?
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