ANSWER: The consensus among scholars is that it is permissible to mention Allah’s names while in the state of minor and major impurity. This means that the prophet salla Allahu alaihi wa sallam simply didn’t want to mention Allah’s name except while in the state of purity. 

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ANSWER: No, because your ghusl is not invalidated by this. You must renew your wudu before praying though, as your wudu is invalidated.

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