PROMYS

Grades

High school students entering grades 9-12

Age

Ages 14-18

Citizenship

International and U.S. students welcome (global participation)

Prerequisites

Strong motivation for mathematics and mathematical maturity; ability to engage in rigorous problem-solving

Steps

1. Complete online application with short-answer questions about mathematical background and interest
2. Submit recommender form from teacher/mentor
3. Write application essays or responses demonstrating mathematical thinking
4. Problem-solving component (specifics not publicly detailed, likely mathematical problems)
5. Admissions decisions made on rolling basis

Materials Needed

• Online application form
• Short-answer responses about mathematical background
• Teacher recommendation/recommender form
• Mathematical problem-solving responses or essays
• Transcript (implied)

Timeline

Application available early February; Priority deadline mid-March; Rolling admissions through June 1 or until spots filled; Program runs 6 weeks in summer (typically June-July)

Cost

Not specified in available materials; financial aid available (program mentions aid in application process)

What Judges Look For

• Mathematical maturity and problem-solving ability
• Demonstrated strong motivation for mathematics
• Quality of mathematical thinking in essays/responses
• Engagement with mathematical community
• Teacher recommendations on mathematical capability
• Potential to benefit from and contribute to collaborative learning environment

Scoring

Not publicly detailed; appears to use holistic review based on application materials, problem-solving demonstrated, and recommendations

Common Mistakes

• Insufficient depth in explaining mathematical interest or experience
• Generic application responses not showing genuine passion for mathematics
• Weak problem-solving approach in mathematical components
• Poor communication of mathematical thinking
• Missing or weak teacher recommendations
• Not demonstrating understanding of what PROMYS (number theory focus) offers

Acceptance Rate

Approximately 15-20% (estimated based on ~80 admitted from several hundred applicants; exact figures not publicly disclosed)

Applicants

Several hundred annually (exact number not publicly available)

Winners / Selected

~80 total: 60 first-year students and ~20 returning students per summer

• Apply early (before priority deadline in mid-March) as rolling admissions favor early applications
• Clearly articulate your passion for mathematics and specifically for number theory if possible
• Demonstrate sophisticated problem-solving in your application materials and mathematical responses
• Show evidence of mathematical curiosity beyond classroom coursework (competitions, self-study, projects)
• Get strong recommendations from teachers who can speak to your mathematical abilities and work ethic
• Research and show understanding of what number theory is and why it interests you
• Be authentic in your essays—admissions officers seek genuinely passionate students
• Explain your mathematical thinking process, not just final answers
• If possible, show experience with mathematical problem-solving (math competitions, clubs, olympiad preparation)
• Emphasize your ability to work in collaborative environments and learn from peers
• Address how you would contribute to the PROMYS community, not just what you'd gain

How to Prepare

• Build strong foundation in algebra, geometry, and pre-calculus (core to application assessment)
• Practice mathematical problem-solving through competitions or math clubs
• Study number theory basics independently (books, online resources) to demonstrate genuine interest
• Participate in math competitions (AMC 8/10/12, MATHCOUNTS, local competitions) to hone skills
• Work on mathematical communication—being able to explain your thinking clearly
• Complete challenging math problems that require sustained thinking
• Research PROMYS specifically: understand program structure, values, and curriculum
• Prepare draft essays explaining your mathematical journey and goals
• Get comfortable with rigorous, proof-based mathematics
• Join math clubs or start independent mathematical projects
• Solve practice problem sets designed for competition preparation

Resources

• Art and Craft of Problem Solving by Paul Zeitz
• Number theory textbooks (Elementary Number Theory by David Burton)
• AMC/AIME preparation materials and past exams
• Project Euler (online mathematics problems)
• Art of Problem Solving (AoPS) online courses and forums
• MATHCAMP website and resources (competitor program for comparison)
• Khan Academy for foundational mathematics reinforcement
• Local/national math competitions (AMC, MATHCOUNTS, state competitions)
• PROMYS official website and FAQ materials
• Math blogs and YouTube channels on number theory

Time Needed

4-6 months of consistent preparation recommended; those with prior math competition experience may need 2-3 months; ongoing mathematical engagement throughout high school school

Successful PROMYS applicants typically include: high school students with strong performance in honors/AP mathematics courses; students who have participated in math competitions (AMC, AIME, Math League, etc.); students showing self-directed mathematical exploration; those with demonstrated problem-solving skills and mathematical maturity beyond their grade level; students who can articulate genuine passion for deep mathematical exploration; many are academically accomplished overall but specifically show strength in mathematics; mix includes international students; many are first-generation competition participants alongside experienced math program alumni

PROMYS attendance is viewed very favorably by college admissions officers, particularly at selective institutions. It demonstrates: genuine passion for mathematics, intellectual rigor, ability to succeed in elite academic environments, willingness to challenge oneself, engagement with academic community, and mathematical maturity. Colleges recognize PROMYS as one of the most selective and prestigious math summer programs. Attending strengthens applications to mathematics-focused institutions and highly selective colleges generally. The program name carries significant weight in admissions (similar to RSI, MATHCAMP, Science Olympiad nationals). PROMYS alumni often attend top universities and pursue mathematics-related fields. Having PROMYS on an application alongside strong STEM academics significantly enhances competitiveness for selective college admissions.

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