A prime number is said to be balanced prime number, if it is equal to the average of the two surrounding prime numbers (Previous and next prime number). A balanced prime number is always equidistant from previous and next prime number.
Example: 157 is a balanced prime number , as it is equal to the average of the two surrounding prime numbers, i.e. 151 and 163 (151 + 163= 314, 314/2 = 157). 157 is also at equal distance from both 151 and 163.
In other words, prime numbers which are neither weak nor strong are called balanced prime numbers.
Balance prime numbers between 1 to 100
5 and 53
Balanced prime numbers between 101 to 500
157, 173, 211, 257, 263, 373
Balanced prime numbers between 501 to 1000
563, 593, 607, 653, 733, 947, 977
Balanced prime numbers between 1001 to 5000
1103, 1123, 1187, 1223, 1367, 1511, 1747, 1753, 1907, 2287, 2417, 2677, 2903, 2963, 3307, 3313, 3637, 3733, 4013, 4409, 4457, 4597, 4657, 4691, 4993
Balanced prime numbers between 5001 to 10000
5107, 5113, 5303, 5387, 5393, 5563, 5807, 6073, 6263, 6317, 6323, 6367, 6373, 6863, 6977, 7523, 7583, 7823, 7841, 8117, 8713, 8747, 9397, 9473, 9871
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