preprint
We establish an asymptotic growth limit for a constrained multiplicative sequence of twin primes. By constructing an algebraic factor expansion over successive prime pairs, we prove that the relative growth ratio between the twin prime product and Euler’s product formula converges strictly to zero as x approaches infinity. This provides a multiplicative analog to Brun’s additive convergence framework
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DOI: 10.33774/coe-2026-h8t7f-v2
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