A152964 Beginnings of maximal chains of primes with eight members (seven links).

4580041, 608744947, 2784514741, 3336893489, 3743034679

Offset

1,1

Comments

For definitions see A152658, of which this is a subsequence.

Terms were computed by Farideh Firoozbakht (see C. Rivera link), who remarks that there are no other terms with prime indices up to 372*10^6, i.e., terms below approx. 8*10^9. The prime indices of the given terms are 321150, 31757516, 134558368, 159849354, 178323284.

Links

Table of n, a(n) for n=1..5.

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

Example

First maximal chain of primes with eight members is 4580041, 4580077, 4580117, 4580131, 4580141, 4580143, 4580201, 4580209; the seven linking primes are 2941776475777, 2941810043411, 2941836545827, 2941853413757, 2941866427879, 2941894857 521, 2941925214169.

Crossrefs

Cf. A152962 (beginning of the first maximal chain of primes with n links), 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.

Sequence in context: A227039 A104950 A234806 * A129931 A206195 A320210

Adjacent sequences: A152961 A152962 A152963 * A152965 A152966 A152967

Keyword

hard,more,nonn

Author

Klaus Brockhaus, Dec 16 2008

Status

approved