DrawLedgerComparable scope
Frequency uses the 100 most recent draws on or after 7 October 2015, when the current 5/69 main-ball and 1/26 Powerball matrix began. Older draws remain in the database but are not mixed into like-for-like frequency counts.
Formula versions 1.6.0 and 2.1.0
US lottery statistics methodology
Formula definitions, rule windows and limitations for Powerball, Mega Millions and Millionaire for Life.
Highest observed counts
Main and Powerball appearances are counted separately. The five main numbers and one Powerball with the highest historical counts are displayed. Equal counts are resolved by the lower number.
Lowest observed counts
The five main numbers and one Powerball with the lowest historical counts in the same 100-draw window are displayed. A zero means that number did not appear in that window.
Longest-gap history
Unlike frequency, this calculation searches every loaded draw under the current rules, beginning on 7 October 2015. Draws are ordered newest first. “Draws ago” is the zero-based position of a number’s latest occurrence: zero means the latest draw and one means the preceding draw. The five greatest main-number gaps and greatest Powerball gap are selected.
Odd/even, sum and consecutive numbers
Odd/even counts classify each draw by its five main balls. The bonus pool is calculated separately: Powerball and Mega Millions report whether odd or even was most common for the single bonus ball, while EuroMillions reports the most common odd/even split across both Lucky Stars. Sum statistics add only the five main values and report the minimum, maximum, arithmetic mean and median. A draw counts once in the consecutive-number rate when any sorted adjacent main-number pair differs by exactly one.
Frequent pairs
Each draw produces ten unordered main-number pairs. Each pair is counted once per draw, then pairs are ordered by count. Equal counts are resolved by the lower first number and then the lower second number.
Latest 25 versus preceding 75
Each number’s count is divided by the number of draws in its window. The displayed difference is the latest-25 appearance rate minus the preceding-75 rate, expressed in percentage points. The largest absolute differences are shown.
White-ball catalogue
Each white ball’s frequency is counted in the latest 100 draws. Its current absence uses all loaded current-rules draws from 7 October 2015. White balls range from 1 to 69 and are kept separate from the Powerball pool.
Powerball catalogue
Each Powerball’s frequency is counted in the latest 100 draws. Its current absence uses all loaded current-rules draws from 7 October 2015. Powerballs are kept separate from the white-ball pool.
Number ranges
All main-ball positions in the latest 100 draws are assigned to one of seven fixed bands: 1–9, then ten-number bands from 10–19 through 60–69. Shares use all 500 main-ball positions as the denominator.
Repeats from the preceding draw
Each draw is compared with the immediately preceding draw, producing 99 comparisons in a 100-draw window. The intersection of the two main-number sets determines whether exactly one, two, three, four or five main values repeated. The bonus pool is calculated separately: Powerball and Mega Millions count comparisons where the single bonus ball repeated, while EuroMillions counts comparisons where at least one Lucky Star repeated.
Separate number pools
Main balls range from 1 to 69 and the Powerball ranges from 1 to 26. Their counts and gaps are never combined. The red ball in each illustration is therefore selected only from Powerball observations.
Recalculation
Every successful official-source import rebuilds the statistical model. A correction made through the protected publishing control also recalculates it immediately.
Interpretation: lottery draws are designed to be independent. “Hot”, “cold” and “long absent” describe past results only; they do not make an illustrated line more or less likely in the next draw.
US calculation scope
Three games with independent rule windows
Powerball, Mega Millions and Millionaire for Life are calculated independently. Each game has its own main-number range, special-ball range, current-rule start date and draw cadence, so a result from one game can never affect another game's frequency or gap.
Dates follow the official draw calendar and display in US order. The model counts completed source records only; a source conflict remains flagged for review rather than being silently included as confirmed.
Frequency, gaps, repeats, sums and odd-even profiles are descriptive. They do not forecast the next drawing, account for state tax or claim rules, validate a ticket, or change the published odds of a valid line.