1, 2, 3, 5, 7, 11, 13, 17, and 19.
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2,4,6,8,10,12,14,15,16,18,20,21
2 and 11
2 x 11 = 22
No. The number 22 is divisable by 2 (2 x 11 = 22). Prime numbers can only be divided by 1 and themselves.
There are an infinite number of square numbers and prime numbers whose sums are a prime number. Examples are 202 + 103 = 503, 22 + 13 = 17, 102 + 601 = 701, 22 + 163 = 167, 42 + 141 = 157, etc.