1,1

Can someone prove this sequence is finite and full?

Let pi = i-th prime, pj = j-th prime, x<y, i<=x, j<=y, n = Largest prime of Sum_{i..x} pi, m= Largest prime of Sum_{j..y} pj. n such that n = m.

For n=5; 5= Sum_{i=1..2} pi = Sum_{j=3..3} pj. For n=83; 83= Sum_{i=5..9} pi = Sum_{j=9..11} pj.

5 = A082534(2) = A082534(3), 83 = A082534(9) = A082534(11).

Sequence in context: A009756 A009634 A142162 this_sequence A035512 A054953 A111834

Adjacent sequences: A082543 A082544 A082545 this_sequence A082547 A082548 A082549

more,nonn

Naohiro Nomoto (n_nomoto(AT)yabumi.com), May 02 2003