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Beginnings of maximal chains of primes with eight members (seven links).
7

%I #7 Feb 28 2020 22:16:34

%S 4580041,608744947,2784514741,3336893489,3743034679

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

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

%C 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.

%H Carlos Rivera, The prime puzzles & problems connection, <a href="http://www.primepuzzles.net/puzzles/puzz_463.htm">Puzzle 463</a>

%e 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.

%Y 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.

%K hard,more,nonn

%O 1,1

%A _Klaus Brockhaus_, Dec 16 2008