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Maharshi a rshi who is very great in his spirituality(great seer),who had reached a certain level towards his goal(path)

Rajarshi a king who is so spiritual that he is also like a rshi

Devarshi a rshi dwelling in the heavenly regions, or, a deva who is also a rshi, the sons of Dharma or Yoga,divine or godlike sage

Brahmarshi a rshi who has seen the Supreme Spiritual Truth and who were the founders of gotras of Brahmans, or caste-races