Pythagorenism or Pythagoreanism: How To spell?

The word Pythagorenism is misspelled against Pythagoreanism, a noun meaning "The doctrines of Pythagoras or the Pythagoreans."

Pythagoreanism has vowels 'ea' together mispronounced as 'e'
Word contains consecutive vowels 'EA' in between alphabets pythagor & nism is misspelled as 'E'
Wrong Spelling:  pythagor-e-nism 
Correct Spelling:  pythagor-ea-nism 
Find more incorrect spellings of Pythagoreanism to spell right way.

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