Prize status records whether a conjecture carries a formal reward for solving it. Wikipedia notes "the Clay Mathematics Institute, having included the Poincare conjecture in their well-known Millennium Prize Problem list, offered Perelman their prize of US$1 million in 2010," which he then declined. This dimension separates conjectures with a standing prize from those pursued for reputation alone.
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Comparison
Era Of Emergence Prize Status
Sources
1. Wikipedia: Algebra
Wikimedia FoundationHistory sectionQuote, History section
This changed with the Persian mathematician Al-Khwarizmi, who published his The Compendious Book on Calculation by Completion and Balancing in 825 CE. Al-Khwarizmi provided the first analytical theory for solving equations by classifying them into six standard forms and offering systematic, step-by-step procedures for their solutions.
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