Before trying the problem "note your opinion as to whether the observed pattern is known to continue, known not to continue, or not known at all."
After row 1, row n is obtained by inserting n between every pair of consecutive numbers that sum to n.
row 1: 1 1
row 2: 1 2 1
row 3: 1 3 2 3 1
row 4: 1 4 3 2 3 4 1
row 5: 1 5 4 3 5 2 5 3 4 5 1
row 6: 1 6 5 4 3 5 2 5 3 4 5 6 1
row 7: 1 7 6 5 4 7 3 5 7 2 7 5 3 7 4 5 6 7 1
The number of numbers in each row are 2, 3, 5, 7, 11, 13, 19...
Will they always be prime?
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Bonus: 
