Euler Totient Pair Scoring
Totient Pair Roulette draws two independent uniform readings from thirteen pockets numbered 0 through 12. All 169 ordered pairs are equally likely. Add one to each reading and multiply their Euler totient values: score = φ(first+1) × φ(second+1). Here φ(n) counts the integers from 1 through n that are coprime to n, with φ(1)=1. For readings 0 and 1, φ(1)×φ(2)=1. Readings 12 and 12 give φ(13)²=144. The scoring law belongs only to this original demo.
Three Exact Score-Band Tickets
Choose one of three tickets before starting. The sorted attainable scores are split into three bands of six distinct values. These bands do not have equal hit probabilities. Ticket one contains 1, 2, 4, 6, 8 and 10, occurring in 77 of 169 pairs. Ticket two contains 12, 16, 20, 24, 36 and 40, occurring in 72 pairs. Ticket three contains 48, 60, 72, 100, 120 and 144, occurring in 20 pairs. Exactly one band contains the final score; the chosen ticket wins only if it is that band.
One Captured Stake and Final Settlement
Starting deducts one captured stake and locks the ticket, stake settings and restoration. The first displayed reading is incomplete; it pays nothing by itself. After the second reading, a matching ticket receives captured stake × 0.96 divided by its exact hit probability, including the stake in that gross return. A miss receives zero. There is no intermediate collection or additional charge. The gross multipliers are 162.24/77, 162.24/72 and 162.24/20, approximately 2.107013×, 2.253333× and 8.112000×.
Each ticket has exact unrounded expected RTP of 96%. Multiply its hit probability by its gross multiplier to obtain 0.96. This is an expectation over repeated captured stakes, not a guaranteed 96-coin return from every 100 coins in a session or a winning percentage. The tickets have different win frequencies and payouts. Changing stakes, following previous readings or switching tickets between rounds does not raise the expected return.
Virtual Wallet and Restoration
New local storage starts with 1000 virtual coins. Stakes are 10, 20, 50 or 100, initially 20. One round charges one captured stake. Settings and balance restoration are locked while the two readings are being revealed. While idle with balance below 10, the restoration button sets the wallet to exactly 1000; it does not add 1000. Fractional payout carry survives settlements and restoration. The counters have no cash value, prize or withdrawal route.
Frequently asked questions
Is play66f.com an official operator site?
66f is a search label, not an operator identity established by this guide. play66f.com is an independent information guide with its own Totient Pair Roulette demo. No company, licence, official account domain, commercial game catalogue, payment service, app publisher or support contact is verified here. Search position, a similar name and page appearance cannot establish those facts.
How is the score calculated?
Totient Pair Roulette draws two independent uniform readings from thirteen pockets numbered 0 through 12. All 169 ordered pairs are equally likely. Add one to each reading and multiply their Euler totient values: score = φ(first+1) × φ(second+1). Here φ(n) counts the integers from 1 through n that are coprime to n, with φ(1)=1. For readings 0 and 1, φ(1)×φ(2)=1. Readings 12 and 12 give φ(13)²=144. The scoring law belongs only to this original demo.
What are the three ticket bands?
Choose one of three tickets before starting. The sorted attainable scores are split into three bands of six distinct values. These bands do not have equal hit probabilities. Ticket one contains 1, 2, 4, 6, 8 and 10, occurring in 77 of 169 pairs. Ticket two contains 12, 16, 20, 24, 36 and 40, occurring in 72 pairs. Ticket three contains 48, 60, 72, 100, 120 and 144, occurring in 20 pairs. Exactly one band contains the final score; the chosen ticket wins only if it is that band.
Play the original Totient Pair Roulette demo with virtual coins.
