login
Triangle read by rows: First row is special; for n > 1, n-th row consists of n distinct primes whose sum is n^3. Take the lexicographically earliest solution for each row.
3

%I #4 Mar 30 2012 18:40:00

%S 1,3,5,3,5,19,3,5,13,43,3,5,7,13,97,3,5,7,11,17,173,3,5,7,11,13,23,

%T 281,3,5,7,11,13,17,23,433,3,5,7,11,13,17,19,23,631,3,5,7,11,13,17,19,

%U 23,43,859,3,5,7,11,13,17,19,23,29,41,1163,3,5,7,11,13,17,19,23,29,31,47,1523

%N Triangle read by rows: First row is special; for n > 1, n-th row consists of n distinct primes whose sum is n^3. Take the lexicographically earliest solution for each row.

%e Triangle begins:

%e 1

%e 3,5

%e 3,5,19

%e 3,5,13,43

%e 3,5,7,13,97

%e 3,5,7,11,17,173

%e 3,5,7,11,13,23,281

%e 3,5,7,11,13,17,23,433

%e 3,5,7,11,13,17,19,23,631

%e 3,5,7,11,13,17,19,23,43,859

%e 3,5,7,11,13,17,19,23,29,41,1163

%e 3,5,7,11,13,17,19,23,29,31,47,1523

%Y Cf. A101245, A101326.

%K nonn,tabl

%O 1,2

%A _Giovanni Teofilatto_, Dec 05 2004 and Dec 12 2004

%E Corrected by _Ray Chandler_, Jan 25 2005