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    "title": "Lander and Parkin: a counterexample in fifth powers",
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            "citation": "Lander and Parkin, Counterexample to Euler’s Conjecture on Sums of Like Powers, Bulletin AMS 72, 1079 (1966)",
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        {
          "citation": "Lander and Parkin, Counterexample to Euler’s Conjecture on Sums of Like Powers, Bulletin AMS 72, 1079 (1966)",
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      "statement": "# Lander and Parkin: a counterexample in fifth powers\n\nFound 27^5 + 84^5 + 110^5 + 133^5 = 144^5 by computer search, disproving Euler’s proposed lower bound on the number of like powers needed to sum to another.\n\n## Scientific scope\n\nThe displayed identity is a finite exact witness. The historical search used a CDC 6600; it is not evidence of a modern AI-model contribution. The source’s minimality statement requires its search scope and is not established merely by checking the equality.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nL. J. Lander; T. R. Parkin\n\nListed source contributors; individual labor shares are not measured\n\n\n\n## Original sources\n\n- [Lander and Parkin, Counterexample to Euler’s Conjecture on Sums of Like Powers, Bulletin AMS 72, 1079 (1966)](https://www.ams.org/journals/bull/1966-72-06/S0002-9904-1966-11654-3/S0002-9904-1966-11654-3.pdf)\n",
      "summary": "Found 27^5 + 84^5 + 110^5 + 133^5 = 144^5 by computer search, disproving Euler’s proposed lower bound on the number of like powers needed to sum to another.",
      "title": "Lander and Parkin: a counterexample in fifth powers"
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    "id": "euler-powers-counterexample",
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    "title": "Lander and Parkin: a counterexample in fifth powers",
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    "what_changed": "Found 27^5 + 84^5 + 110^5 + 133^5 = 144^5 by computer search, disproving Euler’s proposed lower bound on the number of like powers needed to sum to another.",
    "scope": "Found 27^5 + 84^5 + 110^5 + 133^5 = 144^5 by computer search, disproving Euler’s proposed lower bound on the number of like powers needed to sum to another. Scope limitation: The displayed identity is a finite exact witness. The historical search used a CDC 6600; it is not evidence of a modern AI-model contribution. The source’s minimality statement requires its search scope and is not established merely by checking the equality.",
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      {
        "title": "Lander and Parkin, Counterexample to Euler’s Conjecture on Sums of Like Powers, Bulletin AMS 72, 1079 (1966)",
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