Chun-Xuan Jiang
Santilli’s prime chains: Pj + 1=aPj ± b , j=1,⋯,k−1, (a,b)=1, 2|ab. If a −1 = P1λn Pnλn , P1⋯Pn|b, we have J2(ω)→∞ as ω→∞. There exist infinitely many primes P1 such that P2,⋯, Pk are primes for arbitrary length k. It is the Book proof. This is a generalized Euclid-Euler proof for the existence of infinitely many primes. Therefore Euclid-Euler-Jiang theorem in the distribution of primes is advanced. It is the Book theorem.
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