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diff --git a/dev/_images/control_plots-6.png b/dev/_images/control_plots-6.png
diff --git a/dev/_images/plotting-24.png b/dev/_images/plotting-24.png
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diff --git a/dev/_sources/modules/ntheory.rst.txt b/dev/_sources/modules/ntheory.rst.txt
@@ -4,17 +4,22 @@
 Number Theory
 =============
 
-.. module:: sympy.ntheory.generate
+
 
 Ntheory Class Reference
 =======================
 
-.. autoclass:: Sieve
+.. autoclass:: sympy.ntheory.generate.Sieve
+   :members:
+
+.. autoclass:: sympy.ntheory.factor_.FactorCache
    :members:
 
 Ntheory Functions Reference
 ===========================
 
+.. module:: sympy.ntheory.generate
+
 .. autofunction:: prime
 
 .. autofunction:: primepi

diff --git a/dev/explanation/gotchas.html b/dev/explanation/gotchas.html
@@ -1574,7 +1574,7 @@ <h3>help()<a class="headerlink" href="#help" title="Link to this heading">¶</a>
 <dd><em class="sig-param"><span class="n"><span class="pre">measure=&lt;function</span> <span class="pre">count_ops&gt;</span></span></em>,</dd>
 </dl>
 
-<span class="sig-paren">)</span><a class="reference external" href="https://github.com/sympy/sympy/blob/3dbd38ac08aa913bc5965adba8746bc421c3773d/sympy/simplify/powsimp.py#L18-L490"><span class="viewcode-link"><span class="pre">[source]</span></span></a></dt>
+<span class="sig-paren">)</span><a class="reference external" href="https://github.com/sympy/sympy/blob/f63c5d087578176b08e0eca9f2f462b61159b717/sympy/simplify/powsimp.py#L18-L490"><span class="viewcode-link"><span class="pre">[source]</span></span></a></dt>
 <dd><p>Reduce expression by combining powers with similar bases and exponents.</p>
 <p class="rubric">Explanation</p>
 <p>If <code class="docutils literal notranslate"><span class="pre">deep</span></code> is <code class="docutils literal notranslate"><span class="pre">True</span></code> then powsimp() will also simplify arguments of

diff --git a/dev/genindex.html b/dev/genindex.html
@@ -2321,6 +2321,8 @@ <h2>C</h2>
         <li><a href="modules/printing.html#sympy.printing.c.C99CodePrinter">C99CodePrinter (class in sympy.printing.c)</a>
 </li>
         <li><a href="modules/physics/continuum_mechanics/cable.html#sympy.physics.continuum_mechanics.cable.Cable">Cable (class in sympy.physics.continuum_mechanics.cable)</a>
+</li>
+        <li><a href="modules/ntheory.html#sympy.ntheory.factor_.FactorCache.cache_clear">cache_clear() (sympy.ntheory.factor_.FactorCache method)</a>
 </li>
         <li><a href="modules/series/series.html#sympy.series.gruntz.calculate_series">calculate_series() (in module sympy.series.gruntz)</a>
 </li>
@@ -2799,11 +2801,11 @@ <h2>C</h2>
         <li><a href="modules/core.html#term-complex"><strong>complex</strong></a>
 </li>
         <li><a href="modules/assumptions/predicates.html#sympy.assumptions.predicates.matrices.ComplexElementsPredicate">ComplexElementsPredicate (class in sympy.assumptions.predicates.matrices)</a>
-</li>
-        <li><a href="modules/sets.html#sympy.sets.fancysets.Complexes">Complexes (class in sympy.sets.fancysets)</a>
 </li>
     </ul></td>
     <td style="width: 33%; vertical-align: top;"><ul>
+        <li><a href="modules/sets.html#sympy.sets.fancysets.Complexes">Complexes (class in sympy.sets.fancysets)</a>
+</li>
         <li><a href="modules/polys/domainsref.html#sympy.polys.domains.ComplexField">ComplexField (class in sympy.polys.domains)</a>
 </li>
         <li><a href="modules/core.html#sympy.core.numbers.ComplexInfinity">ComplexInfinity (class in sympy.core.numbers)</a>
@@ -5065,6 +5067,8 @@ <h2>F</h2>
         <li><a href="modules/core.html#sympy.core.exprtools.factor_terms">factor_terms() (in module sympy.core.exprtools)</a>
 </li>
         <li><a href="modules/solvers/ode.html#sympy.solvers.ode.single.Factorable">Factorable (class in sympy.solvers.ode.single)</a>
+</li>
+        <li><a href="modules/ntheory.html#sympy.ntheory.factor_.FactorCache">FactorCache (class in sympy.ntheory.factor_)</a>
 </li>
         <li><a href="modules/functions/combinatorial.html#sympy.functions.combinatorial.factorials.factorial">factorial (class in sympy.functions.combinatorial.factorials)</a>
 </li>
@@ -6197,7 +6201,11 @@ <h2>G</h2>
         <li><a href="modules/geometry/entities.html#sympy.geometry.entity.GeometryEntity">GeometryEntity (class in sympy.geometry.entity)</a>
 </li>
         <li><a href="modules/core.html#sympy.core.containers.Dict.get">get() (sympy.core.containers.Dict method)</a>
+
+        <ul>
+          <li><a href="modules/ntheory.html#sympy.ntheory.factor_.FactorCache.get">(sympy.ntheory.factor_.FactorCache method)</a>
 </li>
+        </ul></li>
         <li><a href="modules/combinatorics/permutations.html#sympy.combinatorics.permutations.Permutation.get_adjacency_distance">get_adjacency_distance() (sympy.combinatorics.permutations.Permutation method)</a>
 </li>
         <li><a href="modules/combinatorics/permutations.html#sympy.combinatorics.permutations.Permutation.get_adjacency_matrix">get_adjacency_matrix() (sympy.combinatorics.permutations.Permutation method)</a>
@@ -9171,6 +9179,8 @@ <h2>M</h2>
         <li><a href="modules/polys/domainsref.html#sympy.polys.domains.AlgebraicField.maximal_order">maximal_order() (sympy.polys.domains.AlgebraicField method)</a>
 </li>
         <li><a href="modules/calculus/index.html#sympy.calculus.util.maximum">maximum() (in module sympy.calculus.util)</a>
+</li>
+        <li><a href="modules/ntheory.html#sympy.ntheory.factor_.FactorCache.maxsize">maxsize (sympy.ntheory.factor_.FactorCache property)</a>
 </li>
         <li><a href="modules/stats.html#sympy.stats.Maxwell">Maxwell() (in module sympy.stats)</a>
 </li>