The largest integer not representable as a distinct sum of values of p(j) fo\ (j + 1) (j + 2) (j + 3) r p(j)=, -----------------------, with j>=j0 in at least, C, 6 different ways for j0 from 0 to, 5, and C from 1 to, 1 By Shalosh B. Ekhad The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) (j + 3) lynomial p(j)=, -----------------------, with j>=, 0, in at least , 1, 6 different ways is, 558 In order to prove this fact you need to check this for all positive integers\ <=, 1771, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) (j + 3) lynomial p(j)=, -----------------------, with j>=, 1, in at least , 1, 6 different ways is, 897 In order to prove this fact you need to check this for all positive integers\ <=, 3276, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) (j + 3) lynomial p(j)=, -----------------------, with j>=, 2, in at least , 1, 6 different ways is, 1282 In order to prove this fact you need to check this for all positive integers\ <=, 5456, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) (j + 3) lynomial p(j)=, -----------------------, with j>=, 3, in at least , 1, 6 different ways is, 1818 In order to prove this fact you need to check this for all positive integers\ <=, 9139, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) (j + 3) lynomial p(j)=, -----------------------, with j>=, 4, in at least , 1, 6 different ways is, 2218 In order to prove this fact you need to check this for all positive integers\ <=, 11480, that we did! The smallest integer not representable as a sum of distinct values of the po\ (j + 1) (j + 2) (j + 3) lynomial p(j)=, -----------------------, with j>=, 5, in at least , 1, 6 different ways is, 2832 In order to prove this fact you need to check this for all positive integers\ <=, 16215, that we did!