What the queried name establishes
34r is the query name used by this independent guide. The name and 34r.info address do not establish an official company, licence, app or affiliation. This site explains its own original browser demo; information about an outside service remains unverified.
Two hexadecimal reels and one integer
Unitary Totient Reels draws two independent uniform values from 0 to 15. The symbols 0–9 represent themselves and A–F represent 10–15. Read the first value as a and the second as b: the integer is n=16a+b+1, uniformly distributed from 1 to 256. For each full prime power p^e in n’s factorization, use p^e−1; multiply those factors. With no prime factors, the product is 1. Subtract 1 to obtain the reward score. This is the unitary totient statistic, not the ordinary Euler totient.
Stakes and reward curves
Choose one stake of 10, 20, 50 or 100 virtual coins; the default is 20. Choose the linear, square or cube curve before spinning. If the score is s, their weights are s, s² and s³. Both reels share the one stake deducted at the start. Stake, curve, restoration and another start lock until settlement; sound remains available. There are no row bets, bonus rounds, automatic repeated spins or mid-spin collection.
Gross return and fractional settlement
The exact sums of the 256 weights are 22,945 for linear, 3,024,331 for square and 479,301,235 for cube. Each mean is its sum divided by 256. The gross multiplier is 0.96 × weight / mean. Multiply that multiplier by the captured stake to get the raw gross return. Add existing fractional carry, credit the whole-number part and save the remainder. Net wallet change is credited coins minus the stake deducted earlier. A zero-score result pays zero and leaves carry unchanged.
Local balance and restoration
A fresh wallet begins at 1,000 virtual coins. The settled balance, including zero, and fractional carry are stored in browser localStorage. When no round is running and the balance is below 10, the restore button sets the balance to exactly 1,000; it does not add 1,000 and is not automatic. Restoration preserves carry. Clearing cached files and removing site storage are different operations; removing this site’s localStorage removes these saved values.
Storage and page requests
The game saves its virtual balance and fractional carry locally. These observations do not establish complete collection practices, server logging, retention periods, data sharing or security guarantees. Having no account form does not prove that no personal data are processed. Removing local game storage does not establish deletion of any server or third-party records.
Frequently asked questions
How is the reward score calculated?
Multiply p^e−1 for the full prime powers in the selected integer’s factorization, using 1 for an empty product, then subtract 1. For n=12 the statistic is 6 and score is 5. It is not the ordinary Euler totient.
When can I restore the balance?
Only while no round is running and the balance is below 10. The button sets it to exactly 1,000 coins and preserves fractional carry. This action can be used whenever those conditions are met.
Can virtual coins be withdrawn?
No. The coins have no cash value and this demo provides no deposits, withdrawals or exchange service.
