Shor's algorithm is possible with as few as 10k reconfigurable atomic qubits (arxiv.org)

> Recent neutral-atom experiments have demonstrated universal fault-tolerant operations below the error-correction threshold, computation on arrays of hundreds of qubits, and trapping arrays with more than 6,000 highly coherent qubits.

Caltech Team Sets Record with 6,100-Qubit Array - https://www.caltech.edu/about/news/caltech-team-sets-record-...

Worth reading the comments over on scirate https://scirate.com/arxiv/2603.28627 for how to interpret some the claims.