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Four integers · one squarefree product batch

Guide

A2229.info: Squarefree Almanac Browser Simulator

This page explains the independent Squarefree Almanac browser simulator. Its calculations establish no external operator, commercial affiliation, account or payment service.

  • 18+ only
  • Virtual coins · no cash value
  • No sign-up, no deposit

Free demo game

Four integers · one squarefree product batch

Scope of this independent guide

A2229.info is an independent query-information guide with its own Squarefree Almanac browser simulator. Its name and search queries authenticate no casino operator, official domain, app, licence or commercial affiliation. No outside account, catalogue, financial service or regional availability is established here.

The simulator uses original prime-factor rules and free virtual coins. It offers no deposits, withdrawals or cash prizes. Its calculations describe this browser software and cannot test an outside business or commercial game.

Four integers and squarefree product scoring

One spin draws four independent integers, each uniformly chosen from one through six. Multiply the four values and check the prime factors of the entire product. If any prime factor occurs more than once, raw score is zero.

If the product is squarefree, raw score is one plus the number of distinct prime factors. Squarefree means no squared prime divides the product. The number one has no prime factors and qualifies. Values themselves may differ while sharing a prime: two and six together repeat prime two. One whole captured stake covers the four-integer sequence; there are no separate row shares.

Prime repetition rather than repeated input values

The sequence 1,1,1,1 has product one, no prime factors and raw score one. The sequence 2,3,1,1 has product six, distinct primes two and three, and score three. The sequence 6,1,1,1 also has product six and score three.

The sequence 2,2,1,1 has product four and repeats prime two, so it scores zero. Any value four makes the product contain squared prime two and therefore score zero. Counting distinct input values rather than product factors would implement a different rule. A zero score gives zero credit in every mode.

Exact 1,296-sequence means and whole-stake credit

Four independent six-way draws give 1,296 equally likely ordered sequences. Choose Low, Medium or High before spinning. Positive raw scores receive square-root, identity or square weighting respectively; zero remains zero. These are weights rather than final payout multipliers.

For each mode calculate the exact mean weight over all 1,296 sequences, including zero scores. Gross virtual credit equals the whole captured stake times 0.96 times its observed weight divided by that mean. Every mode has 96% exact expected gross return. There is one whole-sequence return, without separately paid rows.

The stake is deducted before settlement, so gross credit is not net profit. Modes change positive credits after separate normalisation but preserve positive-score frequency. Neither a squarefree product nor 96% expectation guarantees a session balance or a 96% winning chance.

Captured round and the persisted wallet

A new browser wallet starts with 1,000 free virtual coins. Settled balance and fractional-credit carry persist in localStorage. Reload does not replenish settled funds. Fractions accumulate before whole coins are credited rather than being discarded per spin.

A spin captures one total stake and mode for its four-integer sequence. Settings and refill lock during settlement and an active automatic queue. Auto runs at most ten rounds; Stop prevents future rounds while an active spin settles. Optional manual refill is available only while idle with balance below ten. It sets balance to 1,000 and preserves carry. Coins cannot be purchased, transferred, redeemed or withdrawn.

Pause without recovering virtual losses

Stop cancels future automatic rounds while an active spin settles under its captured settings. Closing the page ends participation. A result creates no obligation to recover the starting virtual balance or continue.

Modes do not change symbol probabilities or positive-score frequency. Raising the stake scales debit and possible credit without improving expected return per coin. Previous sequences do not make a palindrome due to appear. Leave at a stopping time chosen independently of the last result.

Frequently asked questions

Does this guide represent a casino or device manufacturer?

No. It supplies its own simulator and authenticates no external commercial affiliation.

What are the random inputs?

Four independent uniformly distributed integers from one through six.

What does squarefree mean?

No prime factor occurs more than once in the product; equivalently, no squared prime divides it.

What happens when a prime repeats?

Raw score is zero, giving zero virtual credit in every mode.

Inspect the home-page Squarefree Almanac simulator using free virtual coins. Leave at your chosen stopping time.

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