Claims

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2025_06_05_kovac_luca: Kovač and Luca prove that the ratios f(2n)/f(n) are unbounded, so they converge to no finite limit; whether they tend to infinity stays open.

2025_06_05_kovac_luca_conditional: Kovač and Luca prove that f(2n)/f(n) tends to infinity if either of their two conjectures holds, one on highly composite Mersenne indices and one on prime factors of cyclotomic values at 2; both are unproven.

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