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Lê Quốc Trần Anh Coordinator

27/05/2018 at 03:35
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How many ordered pairs of prime numbers (a, b) are there such that a + b = 100?




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    Huy Toàn 8A (TL) 29/05/2018 at 01:47

    Consider prime numbers from 1 to 100 : (2; 3; 5; 7; ...; 97)

    Consider : 100 - 2 = 98 (removed)

    100 - 3 = 97 (to choose)

    100 - 5 = 95 (removed)

    ...

    So do we get 12 numbers : (97; 3) , (3; 97) , (89; 11) , (11; 89) , (83; 7) , (7; 83) , (71; 29) , (29; 71) , (59; 41) , (41; 59) , (53; 47) , (47; 53)


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