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证明<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax_SVG" id="MathJax-Element-1-Frame" tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>P</mi><mi>i</mi></msub><mo>+</mo><mn>2</mn><msub><mi>P</mi><mi>j</mi></msub></math>" role="presentation" style="font-size: 100%; display: inline-block; position: relative;"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="8.697ex" height="2.558ex" viewBox="0 -750.1 3744.4 1101.2" role="img" focusable="false" style="vertical-align: -0.815ex;" aria-hidden="true"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><use xlink:href="http://www.mathchina.com/bbs/forum.php?mod=viewthread&tid=2048670&extra=#MJMATHI-50" x="0" y="0"></use><use transform="scale(0.707)" xlink:href="http://www.mathchina.com/bbs/forum.php?mod=viewthread&tid=2048670&extra=#MJMATHI-69" x="908" y="-213"></use><use xlink:href="http://www.mathchina.com/bbs/forum.php?mod=viewthread&tid=2048670&extra=#MJMAIN-2B" x="1209" y="0"></use><use xlink:href="http://www.mathchina.com/bbs/forum.php?mod=viewthread&tid=2048670&extra=#MJMAIN-32" x="2209" y="0"></use><g transform="translate(2710,0)"><use xlink:href="http://www.mathchina.com/bbs/forum.php?mod=viewthread&tid=2048670&extra=#MJMATHI-50" x="0" y="0"></use><use transform="scale(0.707)" xlink:href="http://www.mathchina.com/bbs/forum.php?mod=viewthread&tid=2048670&extra=#MJMATHI-6A" x="908" y="-213"></use></g></g></svg><span class="MJX_Assistive_MathML" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>P</mi><mi>i</mi></msub><mo>+</mo><mn>2</mn><msub><mi>P</mi><mi>j</mi></msub></math></span></span><script type="math/tex" id="MathJax-Element-1">P_i+2P_j</script>=2N+1(N≥4)在素数集内有解
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(出处: 数学中国)
这个就是2021年10月11日发表的猜想
证明:\(P_i+2P_j=2N+1\),当N≥4时,\(P_i\),\(P_j\)∈素数,线性不定方程有解。 |
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