Highsun Prime Oscillation Discovery

Discovered & Developed by Highsun

n Value (Number of Primes): 10

Experimental Info

This tool visualizes the oscillation patterns of prime reverse-linked sequences discovered by Highsun.

Principle : Generates the denominator ($0.p_n p_{n-1} ... p_1$) by arranging n prime numbers in reverse order.
Features : The irregular oscillations occurring as n increases are closely related to the critical point of the prime counting function ($\pi(x)$).
Priority : Priority rights to this visualization algorithm and oscillation analysis methodology belong to Highsun.

packages = ["matplotlib", "sympy"]

import matplotlib.pyplot as plt import sympy as sp from pyscript import display, when from js import document primes = list(sp.primerange(1, sp.prime(1000) + 1)) def generate_plot(n): plt.close('all') a_vals = [] for i in range(1, n + 1): s = "".join(str(p) for p in reversed(primes[:i])) a_vals.append(1.0 / float("0." + s[:17])) fig, ax = plt.subplots(figsize=(10, 5)) ax.plot(range(1, n + 1), a_vals, '-o', color='gold', markersize=4, linewidth=1) ax.axhline(y=10.0, color='red', linestyle='--', alpha=0.3) ax.axhline(y=1.0, color='red', linestyle='--', alpha=0.3) ax.set_ylim(0, 11) ax.set_facecolor('#fdfdfd') ax.set_title(f"Highsun Oscillation (n={n})", fontsize=15) ax.set_xlabel("n (Number of Primes)") ax.set_ylabel("Value (1/0.pn...p1)") ax.grid(True, alpha=0.3) plot_div = document.getElementById("plot") plot_div.innerHTML = "" display(fig, target="plot") @when("input", "#n_slider") def on_slider_change(event): n = int(event.target.value) document.getElementById("n_display").innerText = str(n) generate_plot(n) generate_plot(10)