Divisor bands, controls and wallet questions

Draw three independent uniform pockets from 0 through 12 with replacement. Add one to each value. The score is gcd(a+1,b+1)+gcd(b+1,c+1)+gcd(c+1,a+1). The greatest common divisor is the largest positive integer dividing both inputs. Equal pockets are allowed. Choose one fixed band: 3–5, 6–10 or 11–39. These are numeric intervals; some integers in an interval need not be attainable scores. A chosen band wins only when the complete three-draw score lies inside it.

All 13³ = 2,197 ordered triples are equally likely. Bands 3–5, 6–10 and 11–39 contain 1,363, 581 and 253 outcomes respectively. Their winning gross multipliers are 0.96×2197/1363, 0.96×2197/581 and 0.96×2197/253, approximately 1.547410125, 3.630154905 and 8.336442688. A win returns captured stake times that multiplier; a miss returns zero. Gross includes the stake. Each band has 96% expected gross return, not 96% win chance or a guaranteed session result. All three bands have the same expectation and different win frequencies.

Choose stake 10,20,50 or100 and one band before starting. The start button captures both and deducts the stake once. Stake, band and refill controls lock while the round is active. There is no Auto, Stop or cashout. The sound control is optional. Reduced motion shortens the display delay without changing the three samples, scoring or payment.

The initial balance is 1,000 free virtual coins, with no monetary value or prizes. Settled balance and fractional payout carry are stored in browser localStorage when available. Whole coins are credited and the remaining fraction is kept for later settlements. Only while idle and below 10 whole coins can the refill button restore the balance to 1,000. It sets that balance rather than adding 1,000 and preserves fractional carry. Reloading does not automatically refill the wallet.

The pending four-number result and active round are not saved for resumption. Reloading or leaving during a spin does not recover that round or refund the captured stake. Previously saved balance and fractional carry can remain. Clearing site storage can remove the local wallet. Clearing cached files alone is a different action. This local demo wallet is not a customer account synchronized across devices.

The demo does not require customer registration, identity documents or bank details. Saving the wallet locally does not mean all page requests stay on the device. Font, analytics, server and CDN requests can transmit IP addresses and request information. This guide does not promise complete anonymity, no profiling, no data sale or a particular retention period. It does not establish an outside product’s data practices.

LV7 is a search name, not verified evidence of an operator, app, licence or financial service. This guide hosts the original Common Divisor Dial demo. Its rules and calculations describe only that demo. Matching domain names, badges, search snippets or HTTPS do not establish outside identity, legal status or commercial fairness. No account, deposit, withdrawal or prize is available in this demo.

This guide does not process deposits, withdrawals, identity verification, currency conversion or financial accounts. No outside payment methods, fees, limits or processing times have been verified. Check dated terms, legal identity, domain and authorized activity through primary sources before relying on an external claim. An isolated badge or small test deposit does not establish trust. Do not send documents or credentials to an uncertain identity.

The demo runs directly in this page’s browser. No verified Go 90 APK, package signature, publisher, version or app-store listing is supplied here. Search words alone do not establish that such an app exists. Playing this demo needs no unknown-source installation, disabled protection, software package or device permission grant. A scan, lock icon or matching version string does not prove that an unrelated file is authentic or safe.

An independent oracle tests every divisor up to the smaller input instead of using the implementation’s Euclidean remainder loop. It checks all 2,197 triples and the complete category histogram. Three million actual-source simulated rounds test one million per band. Non-power-of-two samples use uint32 rejection to avoid modulo bias; cutoff and maximum rejected values are tested. These checks describe this demo, not a commercial RNG certification.

Participation is optional and there is no cash prize. You can finish a round and decline another. A personal time limit does not alter the four-draw probabilities. Earlier losses do not improve the next ticket’s chances. This guide provides no clinical diagnosis, universal legal age or verified outside self-exclusion service. If play disrupts daily life, qualified local support may be appropriate. The demo is not preparation for an identified commercial product.