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* {{smallcaps|[[AKS primality test|AKS test]]}}
* {{smallcaps|[[Adleman–Pomerance–Rumely primality test|APR test]]}}
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* {{smallcaps|[[Elliptic curve primality proving|ECPP test]]}}
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* {{smallcaps|''[[Lucas–Lehmer primality test|Lucas–Lehmer]]''}}
* {{smallcaps|''[[Lucas–Lehmer–Riesel test|Lucas–Lehmer–Riesel]]''}}
* {{smallcaps|''[[Proth's theorem]]''}}
* {{smallcaps|''[[Pépin's test|Pépin's]]''}}
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| group2 = [[Generating primes|Prime-generating]]
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