For every k≥2, the k-th moment of the shifted-prime divisor function is asymptotically of order x(log x)^(2^k-k-1), confirming the Fan-Pomerance conjecture.
Ford, Integers divisible by a large shifted prime, Acta Arithmetica 178 (2017), no
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Moments of the shifted prime divisor function
For every k≥2, the k-th moment of the shifted-prime divisor function is asymptotically of order x(log x)^(2^k-k-1), confirming the Fan-Pomerance conjecture.