The only twin primes (prime numbers which differ by 2) between 30 and 60 are (41, 43)
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71,73
71,73 and 101,103 are the next two twin primes after 60.
59 and 53 are the two largest primes less than 60. 59+53 = 112
They are: 61+67 = 128 or if you mean 29+37 = 66
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