Riffs and Rotes • Happy New Year 2024 • https://inquiryintoinquiry.com/2024/01/02/riffs-and-rotes-happy-new-year-20… Let pₙ = the n-th prime. Then 2024 = 2³∙11∙23 = p₁³∙p₅∙p₉ = p₁^p₂ ∙ p_p₃ ∙ p_p₂² = p₁^p_p₁ ∙ p_p_p₂ ∙ p_p_p₁^p₁ = p₁^p_p₁ ∙ p_p_p_p₁ ∙ p_p_p₁^p₁ No information is lost by dropping the terminal 1s. Thus we may write the following form. • 2024 = = p^p_p ∙ p_p_p_p ∙ p_p_p^p The article referenced below tells how forms like that correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”. The riff and rote for 2024 are shown in the next two Figures. Riff 2024 • https://inquiryintoinquiry.files.wordpress.com/2024/01/riff-2024.png Rote 2024 • https://inquiryintoinquiry.files.wordpress.com/2024/01/rote-2024.png Riffs and Rotes • https://oeis.org/wiki/Riffs_and_Rotes Happy New Year! Jon cc: https://www.academia.edu/community/lK1anV