Claude by Anthropic holds overwhelming market-implied odds for the number-two free spot on the U.S. App Store today thanks to its sustained download momentum built through 2026. The app climbed rapidly after a high-profile Pentagon dispute earlier in the year that generated widespread publicity and record sign-ups, pushing it into consistent top rankings alongside rivals like ChatGPT. Ongoing AI model refinements, aggressive marketing, and strong user ratings in the productivity category have kept Claude ahead of competitors on daily charts. With the resolution window closing on May 29, traders see little room for a shift unless a sudden viral campaign or major competitor update triggers an unexpected surge in another title.