n=2 = 2
n%3 = 2
n%7 = 2
n%13 = 2


n=(3)*3+2 = 11
n%3 = 2
n%7 = 4
n%13 = 11

n=(3+7)*3+2 = 32
n%3 = 2
n%7 = 4
n%13 = 6

n=(3+14)*3+2 = 53
n%3 = 2
n%7 = 4
n%13 = 1

n=(3+21)*3+2 = 74
n%3 = 2
n%7 = 4
n%13 = 9
n=(3+28)*3+2 = 95
n%3 = 2
n%7 = 4
n%13 = 4

n=1187 = 1187
n%2 = 1
n%3 = 2
n%5 = 2
n%7 = 4
n%11 = 10
n%13 = 4
n%17 = 14
n%19 = 9
n%23 = 14
n%29 = 27
n%31 = 9
n%37 = 3
n%41 = 39
n%43 = 26
n%47 = 12

n=1187-95 = 1092
n%2 = 0
n%3 = 0  <-----------
n%5 = 2
n%7 = 0  <-----------
n%11 = 3
n%13 = 0 <-----------
n%17 = 4
n%19 = 9
n%23 = 11
n%29 = 19
n%31 = 7
n%37 = 19
n%41 = 26
n%43 = 17
n%47 = 11