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It is a known example: sequence 1,2,3,5,7,11,13,$\dots$ of non-prime non-composite numbers coincides with the sequence of orders of finite prime simple 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).