A337138 Numbers that cannot be written as the sum of 5 or less squares of composite numbers, allowing repetitions (complement of A055075).
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 69, 70, 71, 73, 74
Offset: 1
Examples
52 = 4^2 + 6^2, so 52 is not in the sequence.
References
- R. K. Guy, Unsolved Problems In Number Theory, section C20.
Links
- Chun Lok Yiu, Table of n, a(n) for n = 1..256
- R. G. E. Pinch, L. E. Mattics and Emil Grosswald, Solutions to E3262, Amer. Math. Monthly, 97 (No. 3, 1990), 240-242.
Comments