---
res:
  bibo_abstract:
  - 'The quadratic sieve (QS) is an irregular, cache-hostile, branch-heavy integer
    factorization algorithm; prior GPU work accelerates individual stages of it. We
    present \swname{}, a self-initializing quadratic sieve in which \emph{every} stage
    --- polynomial initialization, sieving, relation post-processing, large-prime
    matching, \GFtwo{} matrix construction, Block Wiedemann linear algebra and the
    square root --- executes on the GPU, the CPU restricted to orchestration, setup
    and I/O, the sieve window 99.9\% GPU-busy with no device-wide or event synchronization
    and no synchronous copy. With it we factored the 512-bit RSA-155 challenge modulus
    end to end on GPUs: a 64$\times$H100 sieve feeding a single-H100 \GFtwo{} solve,
    700.6~GPU-h and 242~kWh in total, 98.4\% of it sieving. To our knowledge this
    is the largest integer factored by the quadratic sieve, exceeding the prior QS
    record RSA-150 (Buhrow, YAFU, 2025); all comparable general factorizations since
    1996, RSA-155''s own in 1999 included, used the number field sieve. On a single
    device we factor RSA-100 in 29.2~s on an H100 and 51.0~s on a consumer RTX~5070~Ti;
    in a controlled same-modulus measurement, with energy measured on both sides,
    the H100 is faster than the fastest CPU quadratic sieve, YAFU, on 96 cores of
    an EPYC~9655 (106--122~s), and than CADO-NFS''s SIQS (292~s) and GNFS (263~s).
    Across four discrete GPUs (a 3.7$\times$ range in CUDA cores) RSA-100 throughput
    is close to proportional to core count, memory bandwidth being a weaker predictor,
    and measured cost over seven benchmark factorizations from RSA-100 to RSA-155
    grows as $\LN{1/2}{1}^{1.04}$ ($R^2=0.993$). On RSA-150, the identical modulus
    on which the prior QS record was set, we measure 302.9~GPU-h against that run''s
    11{,}664 core-hours.@eng'
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Fabian
      foaf_name: Januszewski, Fabian
      foaf_surname: Januszewski
  - foaf_Person:
      foaf_givenName: Christoph
      foaf_name: Heinrichs, Christoph
      foaf_surname: Heinrichs
  dct_date: 2026^xs_gYear
  dct_title: 'CUDA-MPQS: A GPU-Resident Self-Initializing Quadratic Sieve, and the
    Factorization of RSA-155@'
...