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A152962 Beginning of the first maximal chain of primes with n links (n+1 members). 7
29, 5, 13, 61, 417037, 2153, 4580041 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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?

LINKS

Table of n, a(n) for n=1..7.

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

EXAMPLE

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

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.

Sequence in context: A040825 A040821 A040822 * A040820 A040819 A128370

Adjacent sequences:  A152959 A152960 A152961 * A152963 A152964 A152965

KEYWORD

hard,more,nonn

AUTHOR

Klaus Brockhaus, Dec 16 2008

STATUS

approved

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Last modified May 15 16:44 EDT 2021. Contains 343920 sequences. (Running on oeis4.)