Landau,Handbuch der Lehre von der Verteilung der Primzahlen, Teubner, Leipzig, 1909

· 1909

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math.NT · 2026-05-19 · unverdicted · novelty 6.0

Derives exact formula P_k = N_k - S_k + E_k for primes in odd-square intervals via matrix multiplicities and equates existence to E_k <= S_k - N_k.

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A Matrix-Theoretic Exact Formula for Counting Primes in Intervals Between Consecutive Odd Squares math.NT · 2026-05-19 · unverdicted · none · ref 7
Derives exact formula P_k = N_k - S_k + E_k for primes in odd-square intervals via matrix multiplicities and equates existence to E_k <= S_k - N_k.