[Advaita-l] Regarding the Guru Parampara of Bhagvatpada

[Uddeshya Sharma]

Shiva Shiva ,

Namaskaras to Vidvans ,

During a discussion with one of my friends,the following Guru Parampara
shloka got me thinking.

नारायणं पद्मभुवं वशिष्ठं, शक्तिं च तत्पुत्र पराशरं च। व्यासं शुकं गौडपदं
महान्तं, गोविन्दयोगीन्द्र मथास्यशिष्यम् ॥ श्रीशंकराचार्य मथास्य पद्मपादं च
हस्तामलकम् च शिष्यान्। तं त्रोटकं वार्तिककारमन्यान्, अस्मद् गुरून्सन्तत
मानतोस्मि।

How does the Sanyasa Parampara of Bhagvatpada starts ? Shukadeva lived in
the dwapara Yuga while Gaudapadacharya was in the kaliyuga. As per the well
accepted view Bhagvatapada lived in the 7th - 8th CE . Taking even a
century of lifetime for both of his previous Aacharyas, we can say that
Gaudapadacharya was in 5th CE. That would still be around 2000 years from
the start of Kali. Are there some Aacharyas missing in this shloka ?

Also who was the first dandi sanyasi in this Parampara because Aacharyas
previous to Gaudapadacharya are known to have had a family . Is there any
mention of them undergoing Sanyasa in which case who initiated the first
sanyasi in the lineage and why isn't he in the parampara?

This question might look silly but I'll be glad if some vidvan could quote
from any Shankara Vijaya text if any information is available for this
topic.

Hara Hara Mahadeva
Namaskara.