| Presentation | 2014-11-14 GPU-accelerated Verification of the Collatz Conjecture Takumi HONDA, Yasuaki ITO, Koji NAKANO, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The main contribution of this paper is to present an implementation that performs the exhaustive search to verify the Collatz conjecture using a GPU. We have implemented it on NVIDIA GeForce GTX TITAN and evaluated the performance. The experimental results show that, our GPU implementation can verify 5.01 x 1011 64-bit numbers per second, while the CPU implementation on Intel Xeon X7460 can verify 1.80 x 109 64-bit numbers per second. Thus, our implementation on the GPU attains a speed-up factor of 278 over the single CPU implementation. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Collatz conjecture / GPGPU / Parallel processing / Exhaustive verification |
| Paper # | CPSY2014-68 |
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| Conference Information | |
| Committee | CPSY |
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| Conference Date | 2014/11/6(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Computer Systems (CPSY) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | GPU-accelerated Verification of the Collatz Conjecture |
| Sub Title (in English) | |
| Keyword(1) | Collatz conjecture |
| Keyword(2) | GPGPU |
| Keyword(3) | Parallel processing |
| Keyword(4) | Exhaustive verification |
| 1st Author's Name | Takumi HONDA |
| 1st Author's Affiliation | Graduate School of Engineering, Hiroshima University() |
| 2nd Author's Name | Yasuaki ITO |
| 2nd Author's Affiliation | Graduate School of Engineering, Hiroshima University |
| 3rd Author's Name | Koji NAKANO |
| 3rd Author's Affiliation | Graduate School of Engineering, Hiroshima University |
| Date | 2014-11-14 |
| Paper # | CPSY2014-68 |
| Volume (vol) | vol.114 |
| Number (no) | 302 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |