Problems & Puzzles: Puzzles

Puzzle 780. A second follow-up to Puzzle 776 Here we will ask for chain of primes p1->p2->... following the basic rule of puzzle 776: pi+1=pi+Σ(dj^2)pi. Carlos Rivera found a chain composed by 7 primes: k=7: 2373457267→ 2373457517→  2373457753→  2373457997→  2373458369→  2373458671→ 2373458933 Q. Send your largest chain.

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Contributions came from Emmanuel Vantieghem

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Emmanuel wrote:

This is my best chain (eight primes) :
 

8420118521, 8420118701, 8420118901, 8420119133, 8420119319, 8420119577, 8420119867, 8420120183

The first member of a longer chain is (if I made no mistakes) bigger than  3*10^10.

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