A152962 Beginning of the first maximal chain of primes with n links (n+1 members).

29, 5, 13, 61, 417037, 2153, 4580041

Offset: 1

Author

Klaus Brockhaus, Dec 16 2008

Keywords

• hard
• more
• nonn

Comments

For definitions see A152658.

The prime indices of the terms are 10, 3, 6, 18, 35153, 325, 321150.

Is this sequence finite, i.e. is the length (count of members) of chains of primes bounded?

Examples

			First maximal chain of primes with one link (two members) is 29, 31; the linking prime is 631.
		

Links

• Carlos Rivera, The prime puzzles & problems connection, Puzzle 463

Crossrefs

Cf. A152658 (beginnings of maximal chains of primes), A152735 (count of links in n-th maximal chain of primes), A119487 (primes of the form i*(i-th prime) + (i+1)*((i+1)-th prime), linking primes), A152865, A152866, A152867, A152868, A152869, A152963, A152964.