Primes Do Not Pay

ABSTRACT We examine the role of prime numbers in conscious selection, the mental process by which players select numbers non‐randomly on a lotto ticket. Using three estimators of the popularity of numbers, we show that the tendency to overselect prime numbers significantly reduces individual gains. We use 10 years of public data from the Belgian National Lottery to demonstrate our main result and to test the robustness of our findings against several confounding factors such as the tendency to play birthday dates and the preference for “lucky” numbers. Evidence from two independent survey data sets corroborates our main finding.

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Publication Details

Journal
Bulletin of Economic Research
Published
2026-07-22
DOI
https://doi.org/10.1111/boer.70065
Primary Topic
Experimental Behavioral Economics Studies
Type
article
Field-Weighted Citation Impact
0.00
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article

Primes Do Not Pay

Tristan Roger, Patrick Roger
Bulletin of Economic Research
Experimental Behavioral Economics Studies
article

Primes Do Not Pay

Tristan Roger, Patrick Roger
article en

Abstract

ABSTRACT We examine the role of prime numbers in conscious selection, the mental process by which players select numbers non‐randomly on a lotto ticket. Using three estimators of the popularity of numbers, we show that the tendency to overselect prime numbers significantly reduces individual gains. We use 10 years of public data from the Belgian National Lottery to demonstrate our main result and to test the robustness of our findings against several confounding factors such as the tendency to play birthday dates and the preference for “lucky” numbers. Evidence from two independent survey data sets corroborates our main finding.

Bulletin of Economic Research
University of New Caledonia (NC), EM Strasbourg Business School (FR), Gouvernement de la Nouvelle-Calédonie (NC), Université de Lorraine (FR)
Openalex Percentile: Top 5%
Experimental Behavioral Economics Studies
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