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A378927
Positive numbers whose squares have at most three digits less than 9.
2
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 36, 37, 43, 44, 47, 53, 54, 57, 63, 64, 67, 70, 73, 77, 83, 86, 87, 89, 93, 95, 96, 97, 98, 99, 114, 173, 187, 223, 243, 263, 264, 303, 307, 313, 314, 315, 316, 437, 447, 547, 707, 964, 997, 1414, 2236, 2827, 3033, 3114, 3148, 3161
OFFSET
1,2
COMMENTS
No terms > 3161 with less than 16 digits.
No terms > 3161 with less than 101 digits. - Michael S. Branicky, Dec 11 2024
EXAMPLE
3161 is a term because 3161^2 = 9991921 has only three digits that are less than 9.
MATHEMATICA
Select[Range[10^6], Count[IntegerDigits[#^2], _?(#1 < 9 &)] < 4 &]
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Zhining Yang, Dec 11 2024
STATUS
approved