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A337138
Numbers that cannot be written as the sum of 5 or less squares of composite numbers, allowing repetitions (complement of A055075).
1
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
1,2
COMMENTS
The largest term of the sequence is a(256) = 1167.
REFERENCES
R. K. Guy, Unsolved Problems In Number Theory, section C20.
LINKS
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 not in the sequence.
CROSSREFS
Cf. A002808 (composite numbers), A055075 (complement).
Sequence in context: A377021 A023809 A046100 * A023757 A115105 A121176
KEYWORD
nonn,fini,full
AUTHOR
Chun Lok Yiu, Aug 18 2020
STATUS
approved