A055075 Numbers expressible as the sum of no more than 5 squares of composite numbers, allowing repetitions.

16, 32, 36, 48, 52, 64, 68, 72, 80, 81, 84, 88, 96, 97, 100, 104, 108, 112, 113, 116, 117, 120, 124, 128, 129, 132, 133, 136, 140, 144, 145, 148, 149, 152, 153, 160, 161, 162, 164, 165, 168, 169, 172, 176, 177, 178, 180, 181, 184, 185, 188, 189, 192, 193

Offset

1,1

Comments

1167 is the largest of the 256 positive integers not in the sequence.

References

R. K. Guy, Unsolved Problems In Number Theory, section C20.

Links

Table of n, a(n) for n=1..54.

R. G. E. Pinch, L. E. Mattics and Emil Grosswald, Solutions to E3262, Amer. Math. Monthly, 97 (No. 3, 1990), 240-242.

Example

52=4^2+6^2, so 52 is in the sequence.

Crossrefs

Cf. A002808 (composite numbers).

Sequence in context: A296761 A297288 A335246 * A359831 A048111 A122614

Adjacent sequences: A055072 A055073 A055074 * A055076 A055077 A055078

Keyword

nonn

Author

Jud McCranie, Jun 19 2000; corrected Jul 04 2000

Status

approved