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		<id>https://en.formulasearchengine.com/w/index.php?title=Well_kill&amp;diff=253722</id>
		<title>Well kill</title>
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		<updated>2015-01-11T06:14:17Z</updated>

		<summary type="html">&lt;p&gt;198.36.39.181: corrected spelling&lt;/p&gt;
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		<title>Wet Bulb Globe Temperature</title>
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		<summary type="html">&lt;p&gt;198.36.94.34: &lt;/p&gt;
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&lt;div&gt;[[Image:Centered heptagonal number.svg|240px|right]]&lt;br /&gt;
&lt;br /&gt;
A &#039;&#039;&#039;centered heptagonal number&#039;&#039;&#039; is a [[centered number|centered]] [[figurate number]] that represents a [[heptagon]] with a dot in the center and all other dots surrounding the center dot in successive heptagonal layers. The centered heptagonal number for &#039;&#039;n&#039;&#039; is given by the formula &lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;{7n^2 - 7n + 2}\over2&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
This can also be calculated by multiplying the [[triangular number]] for (&#039;&#039;n&#039;&#039; - 1) by 7, then adding 1.&lt;br /&gt;
&lt;br /&gt;
The first few centered heptagonal numbers are&lt;br /&gt;
&lt;br /&gt;
[[1 (number)|1]], [[8 (number)|8]], [[22 (number)|22]], [[43 (number)|43]], [[71 (number)|71]], [[106 (number)|106]], [[148 (number)|148]], [[197 (number)|197]], 253, 316, 386, 463, 547, 638, 736, 841, 953 {{OEIS|id=A069099}}&lt;br /&gt;
&lt;br /&gt;
Centered heptagonal numbers alternate parity in the pattern odd-even-even-odd.&lt;br /&gt;
&lt;br /&gt;
== Centered heptagonal prime ==&lt;br /&gt;
&lt;br /&gt;
A &#039;&#039;&#039;centered heptagonal prime&#039;&#039;&#039; is a centered heptagonal number that is [[prime number|prime]]. The first few centered heptagonal primes are&lt;br /&gt;
:43, 71, 197, 463, 547, 953, 1471, 1933, 2647, 2843, 3697, ... {{OEIS|A144974}}&lt;br /&gt;
and centered heptagonal [[twin prime]] numbers are&lt;br /&gt;
:43, 71, 197, 463, 1933, 5741, 8233, 9283, 11173, 14561, 34651, ... {{OEIS|A144975}}.&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*Regular [[heptagonal number]].&lt;br /&gt;
&lt;br /&gt;
{{Classes of natural numbers}}&lt;br /&gt;
[[Category:Figurate numbers]]&lt;/div&gt;</summary>
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		<updated>2011-11-16T08:08:41Z</updated>

		<summary type="html">&lt;p&gt;198.36.38.50: &lt;/p&gt;
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