601 607 613 617 619 631 641 643 647 653 659 661 673 677 683 691.
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Square numbers in that range are 625 and 676.
Sixteen of them.
The prime numbers between 700 and 800 are: 701 709 719 727 733 739 743 751 757 761 769.
16 prime numbers
The number halfway between them is 600.
400 to 500
You can find lists of prime numbers online in many places. Just search Google for "list of prime numbers" or something similar.
Square numbers in that range are 625 and 676.
Sixteen of them.
The prime numbers between 700 and 800 are: 701 709 719 727 733 739 743 751 757 761 769.
16 prime numbers
prime numbers from 300 to 700:307,311,313,317,331,337,347,349,353,359,367, 373,379,383,389,397,401,409,419,421,431,433, 439,443,449,457,461,463,467,479,487,491,499, 503,509,521,523,541,547,557,563,569,571,577, 587,593,599,601,607,613,617,619,631,641,643, 647,653,659,661,673,677,683,691
750
The number halfway between them is 600.
As a product of its prime factors: 2*2*5*5*7 = 700
16 of them.
650