I'm fairly sure that you'll need to know Heian Shodan and Hein Nidan if you're a white belt going for your first grading. Check with your Sensei for your specific requirements because it can vary between organizations.
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Because every system is different, there is no way of providing a definitive answer. You should ask your instructor or other students to help you with it. You dojo website or student handbook may provide the answer.
And in some styles yellow does not directly follow white. You have to learn 8 kata to get from white to yellow in the style I study!
That will depend on your specific school and style, each one has a different set of requirements for promotion.