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Question Number 189126 by Mingma last updated on 12/Mar/23

	Answered by mr W last updated on 12/Mar/23

	$i f 6 k ⩽ n < 6 k + 2 :$ $3 k + 2 k + k = n \Rightarrow n = 6 k ✓$ $i f 6 k + 2 ⩽ n < 6 k + 3 :$ $3 k + 1 + 2 k + k = n \Rightarrow n = 6 k + 1 \to b a d$ $i f 6 k + 3 ⩽ n < 6 k + 4 :$ $3 k + 1 + 2 k + 1 + k = n \Rightarrow n = 6 k + 2 \to b a d$ $i f 6 k + 4 ⩽ n < 6 k + 6 :$ $3 k + 2 + 2 k + 1 + k = n \Rightarrow n = 6 k + 3 \to b a d$ $t h a t m e a n s t h e g e n e r a l s o l u t i o n i s$ $n = 6 k w i t h k \in Z$ $f o r 0 < n < 2023 t h e r e a r e 337 i n t e g e r s :$ $n = 6, 12, 18, . . ., 2016, 2022$
	Commented by Mingma last updated on 13/Mar/23
	Excellent!
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