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

4580041, 608744947, 2784514741, 3336893489, 3743034679

Offset: 1

Author

Klaus Brockhaus, Dec 16 2008

Keywords

• hard
• more
• nonn

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.

Examples

			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.
		

Links

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

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.