Confirmed Factors of Mersenne Numbers

This dataset contains over 42 million confirmed factors of Mersenne numbers of the form n = 2 * k * p + 1, where p is the Mersenne exponent and k is a positive integer. Each factor has been mathematically verified and includes metadata such as the exponent p, the multiplier k, the factor n, and the bit length of n. The factors are distributed across multiple CSV files, each containing up to 5 million entries, compressed as ZIP archives. The dataset is published incrementally, with new versions adding only new factor files without duplication or reordering. The factorization was performed using a proprietary high-efficiency search and verification system. The exact method is not publicly disclosed at this time. This resource is intended for researchers and practitioners in computational number theory and related fields who require large verified datasets of Mersenne factors. For more details, see the attached README files. Citation: Daniel A. JORGE ZAFARANICH. (2025). Confirmed Factors of Mersenne Numbers [Dataset]. Zenodo. https://doi.org/10.5281/zenodo.16336213