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Gerry Myerson
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It is a known example: sequence 1,2,3,5,7,11,13,$\dots$ of non-primecomposite numbers coincides with the sequence of orders of finite primesimple groups until 60 appears (in this last sequence).

It is a known example: sequence 1,2,3,5,7,11,13,$\dots$ of non-prime numbers coincides with the sequence of orders of finite prime groups until 60 appears (in this last sequence).

It is a known example: sequence 1,2,3,5,7,11,13,$\dots$ of non-composite numbers coincides with the sequence of orders of finite simple groups until 60 appears (in this last sequence).

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Fedor Petrov
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It is a known example: sequence 1,2,3,5,7,11,13,$\dots$ of non-prime numbers coincides with the sequence of orders of finite prime groups until 60 appears (in this last sequence).