They are 25 and 49
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16
The missing numbers are 9 & 49.The sequence is 1x1, 2x2, 3x3, 4x4, 5x5, 6x6, 7x7& 8x8.
49
Assuming the space is between the 5 and the 37, you could put 21 in there and all the numbers would be 16 apart from each other.
While there are not enough numbers to fully clarify the nth term of the sequence, according to the sequence so far it appears that the nth term is equal to n4. Therefore, the next number will equal 44 = 256