Hajdu–Sárközy's multiplicative irreducibility conjecture for perturbed shifted powers
Let RRR be obtained from the set {xk+1:x∈N}\{x^k+1:x\in\mathbb{N}\}{xk+1:x∈N} by changing o(X1/k)o(X^{1/k})o(X1/k) elements up to XXX, where k≥2k\geq 2k≥2. A set S⊂NS\subset\mathbb{N}S⊂N is multiplicatively irreducible…