53 59 61 67 71 73 79 83 89 97 are the prime numbers between 51 & 100.
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The prime numbers from 51 to 100 are: 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
31 is prime, but 51 is not as 51=3*17.
No two prime numbers satisfy that request.
The prime factors of 51 are 3 and 17.