Comparison

Variance vs Millennium Problems

Price, ratings, monetisation and update history for both apps, side by side — with what reviewers say about each.

Head to head
About

Variance

Prepare for quantitative finance interviews with this app. Practice probability, mental math, logic puzzles, and more with detailed solutions and progress tracking. Sharpen your mathematical intuition and problem-solving skills for trading and research roles.

Highlights
  • Probability practice
  • Mental math exercises
  • Logic puzzles
  • Detailed solutions
  • Progress tracking
  • Topic-specific practice
Read full description

Variance is the ultimate quant interview prep app for aspiring traders, quant researchers, and finance professionals. Whether you're targeting a role at a hedge fund, trading firm, or just prepping for fun, Variance gives you the tools to practice the quantitative skills that top firms test — rigorously and on the go. WHAT YOU'LL PRACTICE • Probability • Mental math • Sequences & Patterns • Brainteasers & logic puzzles • Expected value FEATURES • Hundreds of problems across multiple difficulty levels • Detailed solutions and explanations for every question • Topic-by-topic practice to target your weak spots • Progress tracking to see how you improve over time • Clean, distraction-free interface built for focused study WHO IT'S FOR Variance is built for students and professionals preparing for quantitative interviews at top firms, and other top quant shops. It's also great for anyone who wants to sharpen their mathematical intuition and problem-solving speed. Prepare smarter. Interview with confidence. Download Variance today. Terms of Use: www.thequantprepapp.com/terms Privacy Policy: www.thequantprepapp.com/privacy

About

Millennium Problems

Explore seven unsolved mathematical mysteries, each with a million-dollar prize. This app adapts content for all skill levels, from middle schoolers to doctoral researchers, with interactive 3D visualizations and built-in quizzes. Learn at your own pace, offline, with no ads or subscriptions.

Highlights
  • Explains seven major unsolved math problems
  • Content adapts to skill level (Grade 6 to Graduate)
  • Interactive 3D visualizations
  • Built-in quizzes with XP and badges
  • Offline functionality
  • Optional biometric lock
Features
Read full description

Can you solve a problem worth $1,000,000? The Clay Mathematics Institute has offered a million-dollar prize for each of seven unsolved mathematical problems — and nobody has claimed them yet. Millennium Problems brings these mysteries to life for everyone, from curious 11-year-olds to doctoral researchers. SEVEN LEGENDARY PROBLEMS • P vs NP — Is finding as hard as checking? • Riemann Hypothesis — Where do prime numbers hide? • Yang-Mills & Mass Gap — Why do particles have mass? • Navier-Stokes — Can we predict turbulent fluids? • Hodge Conjecture — What shapes are built from algebra? • Birch & Swinnerton-Dyer — How many solutions does an equation have? • Poincaré Conjecture — The shape of the universe (SOLVED!) EVERY SKILL LEVEL Choose your grade — from Grade 6 to Graduate — and the content adapts instantly. The same problem is explained with simple analogies for a middle schooler and rigorous proofs for a PhD student. INTERACTIVE 3D VISUALISATIONS Every problem comes with a real-time Three.js visualisation. Watch elliptic curves rotate, Riemann zeros appear on the critical line, and fluid particle fields swirl — all rendered natively on your device. BUILT-IN QUIZZES Test your understanding with 5 questions per problem per grade level. Earn XP, track your streak, and collect badges as you explore. WORKS OFFLINE No account. No subscription. No ads. Everything runs locally on your device. OPTIONAL BIOMETRIC LOCK Protect your progress with Face ID, Touch ID, or fingerprint — entirely optional. Whether you're a student looking for a challenge, a teacher seeking engaging material, or a mathematician revisiting the classics, Millennium Problems meets you where you are. Clay Mathematics Institute · $7,000,000 in unclaimed prizes · Since 2000

Screenshots

Variance4 screens
Millennium Problems4 screens

Verdict

The call

The clearest difference is in-app purchases: Millennium Problems at none against Variance's 3. Millennium Problems also leads on update cadence (every 4 days vs every 2 weeks) and iOS requirement (15.0 vs 26.0). Variance's advantage is ratings volume (5 vs 1). On price, rating, ads and device support there is nothing between them.

Scored on Price · Rating · Positive reviews · Number of ratings · Update frequency · Ads · In-app purchases · Monetization · Best chart rank · Devices · Requires iOS

CostPrice · In-app purchases · Ads · Monetization

Both are free to download. Variance sells 3 in-app purchases, starting at $9.99 per month. Millennium Problems asks for nothing beyond the download.

ReceptionRating · Positive reviews · Number of ratings

On the App Store both sit at effectively the same score — 5.0 for Variance against 5.0 for Millennium Problems. That said, the two scores are not equally well evidenced: Variance has 5 ratings behind it against 1, so its average is the more settled of the two.

UpkeepUpdate frequency

Variance ships an update every 2 weeks, Millennium Problems every 4 days. The most recent releases landed on October 15, 2026 and October 9, 2026 respectively.

Scorecard5 real differences · 5 level
Variance versus Millennium Problems: the parameters behind the verdict, then further details
ParameterVarianceMillennium Problems
PriceFreeFree
Rating5.0 (5 ratings)5.0 (1 ratings)
Positive reviews100.0% of reviews—
Number of ratings5 — better1
Update frequencyEvery 2 weeksEvery 4 days — better
AdsNoNo
In-app purchasesYesNo — better
MonetizationFreemiumFree — better
DevicesiPhone, iPadiPhone, iPad, iPod — better
Requires iOS26.015.0 — better
Further details — not scored
Size18 MB9 MB
Age rating12+4+
DeveloperBenjamin KawanoLoic Fonkam

In-app purchases

3 purchases

Variance

Subscriptions3
  • Variance Pro Monthly7 Days trial$9.991 Month
  • Variance Pro 6-Month$49.996 Months
  • Variance Pro Yearly$99.991 Year
None

Millennium Problems

No in-app purchases

Questions

Is Variance free?
Variance is free to download, with in-app purchases available.
Is Millennium Problems free?
Millennium Problems is free to download, with no in-app purchases.
Which has better reviews, Variance or Millennium Problems?
Variance and Millennium Problems are both rated 5.0 out of 5 on the App Store, from 5 and 1 ratings respectively.
Do Variance or Millennium Problems have ads?
Neither Variance nor Millennium Problems shows ads.
Which is updated more often, Variance or Millennium Problems?
Variance ships an update every 2 weeks, and Millennium Problems every 4 days. Most recently, Variance was updated on October 15, 2026 and Millennium Problems on October 9, 2026.

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