What is the Shannon Index in a lottery?

The Shannon Index is a measure from information theory that evaluates the activity of each number across two time periods. A high index means the number consistently appears in draws.

How to choose periods for 8/20 analysis?

The Long Period (LP) is the baseline, usually 200-500 draws. The Short Period (SP) covers the recent 30-100 draws. SP should be part of LP. A 3:1 to 5:1 ratio works well.

Which numbers should I choose?

Focus on numbers with the highest Shannon Index — they are consistently active in both periods. Also check the SP/LP ratio: values close to 1 indicate number stability.

What is the difference between Shannon Index and Shannon Entropy?

Shannon Entropy evaluates the overall randomness of the entire distribution (a single number for the whole lottery). The Shannon Index is a per-number score based on comparing two periods.

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8/20 Lottery

Shannon Index

Number selection based on comparing two time periods

The Shannon Index is a measure from information theory adapted for lottery number analysis. We compare the frequency of each number across two periods — Long Period (LP) and Short Period (SP) — and calculate a combined index. Numbers with a high index are consistently active in both periods, helping you build an informed combination for the "8/20" lottery.

Choose the Long and Short periods (the Short period should be "inside" the Long one). The table and indices for each number will be calculated automatically. Pay attention to numbers with the highest Shannon Index.

8/20 Shannon Index analysis (LP: 20 draws, SP: 20 draws). Numbers with the highest index: Field 1: 4 (106.0), 8 (106.0), 11 (105.8), 13 (105.8), 16 (105.8), 5 (104.2), 7 (104.2), 10 (104.2). Field 2: 1 (106.0).

Long Period (LP)

Analysis based on 20 draws from 02/14/2026, 02:00 PM to 03/05/2026, 02:00 PM

Short Period (SP)

Analysis based on 20 draws from 02/14/2026, 02:00 PM to 03/05/2026, 02:00 PM

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Combination Generator

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How to use the Shannon Index for "8/20"

Step-by-step guide to building combinations

Set up the Long Period

Choose a wide range of draws (e.g., 200-500). This is the baseline reflecting long-term patterns.

Set up the Short Period

Choose a short, recent range (e.g., 30-100 draws). This shows the current activity of numbers.

Study the table

Sort by the 'Shannon Index' column. Numbers with a high index are consistently active in both periods.

Build your combination

Add the selected numbers to the generator and build your combination. Note the SP/LP ratios — values close to 1 indicate number stability.

What is the Shannon Index?

Mathematical basis of the method

The Shannon Diversity Index is one of the most well-known diversity measures from information theory. Originally used in ecology to assess biodiversity, it is perfectly suited for analyzing the distribution of lottery numbers. The index takes into account both the variety of numbers and the evenness of their distribution.

Formula

H = -Σ pᵢ · log₂(pᵢ)

The index is calculated for each number based on its entropy contribution across two periods

pᵢ — proportion (frequency) of the number in the total draws
LP (Long Period) — wide range of draws, baseline
SP (Short Period) — short recent range, current activity

High index

The number actively participates in draws across both periods. Its frequency is high enough in both LP and SP to make a significant entropy contribution.

Low index

The number rarely appears in one or both periods. Its entropy contribution is minimal.

Tips for choosing periods

The Short period should always be part of the Long one. A good ratio is LP being 3-5 times larger than SP. For example: LP = 300 draws, SP = 60-100 draws. Experiment with different ratios for the best results.

Important to remember

The Shannon Index is a statistical analysis tool. Lottery is a random process, and no method guarantees a win. Use the index as one of many factors when building your combinations.