It depends what species it is.
The name "praying mantis" is not a scientific name but a COMMON name. Scientific names are in latin and are used to organize animals into groups (look up taxonomy). If you wonder how the praying mantis got its common name all you have to do is look at one and see that the forelegs are in position similar to praying. The word "mantid" originates with the Greeks meaning prophet (who prayed often). So, praying mantis is redundant, it is like saying praying prayer. Also, look up the word science to reduce your ignorance.
If you are talking about the Latin name it's Sphodromantis viridis
same name as the male praying mantis: Mantis religiosa
some types are diptera
ootheca is the name of a praying mantis egg sack.
The scientific name of a mantis is Mantis religiosa.