159547

Yes it is.Possible this is what i got;
11+5=16=4 squared
23+2=25=5 squared
13+23=36=6 squared
2+47=49=7 squared
51+13=64=8 squared
2+79=81=9 squared
89+11=100=10 squared
11 squared is impossible
139+5=144=12 squared
167+2=169=13 squared
193+3=196=14 squared
223+2=225=15 squared
so what i did is wrote down all the square numbers then i found 2 numbers that were prime and added together to equal the square numbers.