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  1. 123. P3: 3(3+1) is even; true P4: 4(4+1) is even; true

  2. 125. P3: 1+2+3=3(3+1)2; true P4: 1+2+3+4=4(4+1)2; true

  3. 127. Pn+1: (n+1)2+(n+1) is divisible by 2.

  4. 129. Pn+1: 3n+1>5(n+1)

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