<?php 
for ($i = 1; $i < 50; $i++){
    if ($total != 5 && $total > 2) { 
        $fours = ceil($total / 4) - ($threes = ($total % 4) ? (4 - ($total % 4)) : 0);
        echo "$i = (4 x $fours) + (3 x $threes); check: " . ((3* $threes) + (4 * $fours)) . "\n";
    }
    else 
    {
        $fours = floor($i / 4); $threes = floor( ($remainder = ($i - (4 * $fours))) / 3);  
        echo "$i: (4x$fours) + (3x$threes) + $remainder = " . (($i == (4 * $fours + 3 * $threes + $remainer )) ? $i : 'invalid') . " : remainer invalid\n";
    }
}
?>
output: 

1: (4x0) + (3x0) + 1 = invalid : remainer invalid
2: (4x0) + (3x0) + 2 = invalid : remainer invalid
3: (4x0) + (3x1) + 0 = 3 : number is divisible by 3 plus 0 fours
4: (4x1) + (3x0) + 0 = 4 : number is divisible by 4 plus 0 threes
5: (4x1) + (3x0) + 1 = invalid : remainer invalid
6: (4x0) + (3x2) + 0 = 6 : number is divisible by 3 plus 0 fours
7: (4x1) + (3x1) + 0 = 7 : number is divisible by 3 plus 1 fours
8: (4x2) + (3x0) + 0 = 8 : number is divisible by 4 plus 0 threes
9: (4x0) + (3x3) + 0 = 9 : number is divisible by 3 plus 0 fours
10: (4x1) + (3x2) + 0 = 10 : number is divisible by 3 plus 1 fours
11: (4x2) + (3x1) + 0 = 11 : number is divisible by 3 plus 2 fours
12: (4x3) + (3x0) + 0 = 12 : number is divisible by 4 plus 0 threes
13: (4x1) + (3x3) + 0 = 13 : number is divisible by 3 plus 1 fours
14: (4x2) + (3x2) + 0 = 14 : number is divisible by 3 plus 2 fours
15: (4x0) + (3x5) + 0 = 15 : number is divisible by 3 plus 0 fours
16: (4x4) + (3x0) + 0 = 16 : number is divisible by 4 plus 0 threes
17: (4x2) + (3x3) + 0 = 17 : number is divisible by 3 plus 2 fours
18: (4x0) + (3x6) + 0 = 18 : number is divisible by 3 plus 0 fours
19: (4x1) + (3x5) + 0 = 19 : number is divisible by 3 plus 1 fours
20: (4x5) + (3x0) + 0 = 20 : number is divisible by 4 plus 0 threes
21: (4x0) + (3x7) + 0 = 21 : number is divisible by 3 plus 0 fours
22: (4x1) + (3x6) + 0 = 22 : number is divisible by 3 plus 1 fours
23: (4x2) + (3x5) + 0 = 23 : number is divisible by 3 plus 2 fours
24: (4x6) + (3x0) + 0 = 24 : number is divisible by 4 plus 0 threes
25: (4x1) + (3x7) + 0 = 25 : number is divisible by 3 plus 1 fours
26: (4x2) + (3x6) + 0 = 26 : number is divisible by 3 plus 2 fours
27: (4x0) + (3x9) + 0 = 27 : number is divisible by 3 plus 0 fours
28: (4x7) + (3x0) + 0 = 28 : number is divisible by 4 plus 0 threes
29: (4x2) + (3x7) + 0 = 29 : number is divisible by 3 plus 2 fours
30: (4x0) + (3x10) + 0 = 30 : number is divisible by 3 plus 0 fours
31: (4x1) + (3x9) + 0 = 31 : number is divisible by 3 plus 1 fours
32: (4x8) + (3x0) + 0 = 32 : number is divisible by 4 plus 0 threes
33: (4x0) + (3x11) + 0 = 33 : number is divisible by 3 plus 0 fours
34: (4x1) + (3x10) + 0 = 34 : number is divisible by 3 plus 1 fours
35: (4x2) + (3x9) + 0 = 35 : number is divisible by 3 plus 2 fours
36: (4x9) + (3x0) + 0 = 36 : number is divisible by 4 plus 0 threes
37: (4x1) + (3x11) + 0 = 37 : number is divisible by 3 plus 1 fours
38: (4x2) + (3x10) + 0 = 38 : number is divisible by 3 plus 2 fours
39: (4x0) + (3x13) + 0 = 39 : number is divisible by 3 plus 0 fours
40: (4x10) + (3x0) + 0 = 40 : number is divisible by 4 plus 0 threes
41: (4x2) + (3x11) + 0 = 41 : number is divisible by 3 plus 2 fours
42: (4x0) + (3x14) + 0 = 42 : number is divisible by 3 plus 0 fours
43: (4x1) + (3x13) + 0 = 43 : number is divisible by 3 plus 1 fours
44: (4x11) + (3x0) + 0 = 44 : number is divisible by 4 plus 0 threes
45: (4x0) + (3x15) + 0 = 45 : number is divisible by 3 plus 0 fours
46: (4x1) + (3x14) + 0 = 46 : number is divisible by 3 plus 1 fours
47: (4x2) + (3x13) + 0 = 47 : number is divisible by 3 plus 2 fours
48: (4x12) + (3x0) + 0 = 48 : number is divisible by 4 plus 0 threes
49: (4x1) + (3x15) + 0 = 49 : number is divisible by 3 plus 1 fours