[CG] Riffs and Rotes

Cf: Riffs and Rotes • Happy New Year 2023 !!! https://inquiryintoinquiry.com/2023/01/01/riffs-and-rotes-happy-new-year-20… All, Let pₙ = the n-th prime. Then 2023 = 7∙17² = p₄∙p₇² = p_{p₁^p₁} ∙ {p_{p₄}}^{p₁} = p_{p₁^p₁} ∙ {p_{p_{p₁^p₁}}}^{p₁} No information is lost by dropping the terminal 1s. Thus we may write the following form. 2023 = p_{p^p} ∙ {p_{p_{p^p}}}^p Forms like those correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”, as described in the following OEIS Wiki article. Riffs and Rotes ( https://oeis.org/wiki/Riffs_and_Rotes ) The riff and rote for 2023 are shown in the next two Figures. Riff 2023 https://inquiryintoinquiry.files.wordpress.com/2023/01/riff-2023-big-1.jpg Rote 2023 https://inquiryintoinquiry.files.wordpress.com/2023/01/rote-2023-big-1.jpg Regards, Jon ( https://mathstodon.xyz/@Inquiry )