A Boston number is a composite number, the sum of whose digits is the sum of the digits of its prime factors obtained as a result of prime factorization (excluding 1 ). The first few such numbers are 4,22 ,27 ,58 ,85 ,94 and 121 . For example, 378 = 2 × 3 × 3 × 3 × 7 is a Boston number since 3 + 7 + 8 = 2 + 3 + 3 + 3 + 7.
Sir can you tell how 58,85,94,121 are bosten no. because 29,17,47,11 are not composite but prime no.?
hello @yashme7125
58 -> 5 + 8 = 13
prime factorisation of 58 -> 2 * 29
sum of digit of prime factors -> 2 + 2 + 9 = 13
since both sum are same it is boston number.
follow similar technque for other numbers as well
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