ag-gipp/GoUldI

{
  "definitions" : {
    "p" : [ {
      "Q49008" : " prime number (natural number greater than 1 that has no positive divisors other than 1 and itsel)"
    } ],
    "n" : [ {
      "Q12503" : "integer (number that can be written without a fractional or decimal component)"
    } ]
  },
  "constraints" : [ ],
  "math_inputtex" : "(p-1)!^n",
  "math_inputtex_semantic" : "(\\w{Q49008}{p}-1)!^{\\w{Q12503}{n}}",
  "correct_tex" : "(p-1)!^n",
  "correct_mml" : "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"(p-1)!^{n}\" display=\"inline\">\n  <semantics id=\"p1.1.m1.1a\">\n    <msup id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n      <mrow id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.cmml\">\n        <mrow id=\"p1.1.m1.1.8.2.1\" xref=\"p1.1.m1.1.8.2.1.2.cmml\">\n          <mo stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.8.2.1.2.cmml\">(</mo>\n          <mrow id=\"p1.1.m1.1.8.2.1.2\" xref=\"p1.1.m1.1.8.2.1.2.cmml\">\n            <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">p</mi>\n            <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">-</mo>\n            <mn id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">1</mn>\n          </mrow>\n          <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.8.2.1.2.cmml\">)</mo>\n        </mrow>\n        <mo lspace=\"0pt\" rspace=\"3.5pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">!</mo>\n      </mrow>\n      <mi id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">n</mi>\n    </msup>\n    <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n      <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n        <power  xref=\"p1.1.m1.1.8\"/>\n        <apply id=\"p1.1.m1.1.8.2.cmml\" xref=\"p1.1.m1.1.8.2\">\n          <factorial id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"/>\n          <apply id=\"p1.1.m1.1.8.2.1.2.cmml\" xref=\"p1.1.m1.1.8.2.1\">\n            <minus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"/>\n            <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">Q49008</csymbol>\n            <cn type=\"integer\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">1</cn>\n          </apply>\n        </apply>\n        <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">Q12503</csymbol>\n      </apply>\n    </annotation-xml>\n    <annotation encoding=\"application/x-tex\" id=\"p1.1.m1.1c\">(p-1)!^{n}</annotation>\n  </semantics>\n</math>",
  "uri" : "https://en.formulasearchengine.com/w/index.php?oldid=4189#math4189.50",
  "title" : "Lindemann–Weierstrass_theorem",
  "comment" : "",
  "type" : "general formula",
  "check" : {
    "tree" : true,
    "qid" : false
  }
}