Modi, in his third term as Gujarat chief minister, is contesting his first Lok Sabha elections from Varanasi and Vadodara in Gujarat.
Rai, a Congress MLA here, has also been a BJP member in the past. He had lost the Lok Sabha elections in 2009 when he had fought as a Samajwadi Party candidate.
"I think Modi has been an MLA for three terms while I have been an MLA for five straight terms, including a byelection. This way, I am in fact senior to Modi by two terms when it comes to electoral politics," Rai told PTI in an interview.
Rai, who has been in active politics for over 18 years in the Varanasi area, also rejected any "Modi wave" here.
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BJP has entered into an electoral alliance with Apna Dal, which is said to have a strong presence in the Purvanchal region, which includes Varanasi and adjoining areas.
Rai, whose family shares an old rivalry with local Muslim strongman Mukhtar Ansari, also dismissed talk about any behind -the-scene rapprochement with the latter's Qaumi Ekta Dal.