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**1 - 2**of**2**### Faster Construction of Carmichael Numbers and Other Pseudoprimes

"... Subset product problem Let G be an abelian group, and let a1,..., an be elements of G. The subset product problem is to find a subset of the ai that product to the identity in G (more generally, any element of G). Definition 1 The density of a subset product problem is given by ..."

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Subset product problem Let G be an abelian group, and let a1,..., an be elements of G. The subset product problem is to find a subset of the ai that product to the identity in G (more generally, any element of G). Definition 1 The density of a subset product problem is given by

### ABSOLUTE QUADRATIC PSEUDOPRIMES

"... Abstract. We describe some primality tests based on quadratic rings and discuss the absolute pseudoprimes for these tests. 1. ..."

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Abstract. We describe some primality tests based on quadratic rings and discuss the absolute pseudoprimes for these tests. 1.