First, export Search Results Web Part and edit it.
Number of pages in pagination UI is controlled by two variables in the Search Results web part:
<property name="MaxPagesBeforeCurrent" type="int">5</property>
<property name="MaxPagesAfterCurrent" type="int">5</property>
Then import the changed web part via site settings>choose web parts under Web Designer Galleries>upload it as shown below:
Then remove the default search result web part, add the customized web part:
You will now get this:
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