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In this talk, I will present the latest developments within the perturbative bootstrap program for form factors in N=4 SYM theory. Perturbative bootstrap approach aims at evaluating different types of scattering-related observables at high loop orders without relying on Feynman integral calculations. Instead, it utilizes various constraints inspired by integrability, cluster algebras, and general analytic properties of the amplitudes. I will give a general overview of the program, as well as the underlying integrability description that it relies on, and present the newly obtained results for the three-point form factor of Tr{phi^3}.