Place the numbers 1 through 25 in the grid below:
1 2 3 4 5
A | | | | | |
B | | | | | |
C | | | | | |
D | | | | | |
E | | | | | |
- The sum of each column is odd
- The sum of each row, except C, is even
- The sum of row A is not greater than the sum of any other row
- The sum of the diagonal E1 to A5 is less than that of the diagonal A1 to E5
- A4 + B4 > C4 + D4 + E4
- A1 + B1 = D1 + E1
- A1 > E1
- A1, A3 and B1 are all prime numbers
- (A3 + E3) is a prime number
- A5, D1, D3 and E1 are all squares
- B2, C2 and D2 are ascending consecutive numbers
- B3, C3 and D3 are ascending consecutive numbers
- B5 + D5 = A5 + C5
- (C1)² + (C5)² = (E3)²
- C5 is a two digit number
- D5 is a multiple of E5
- E1 + E3 = E2 + E4 + E5
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Submitted by Nosher
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Rating: 4.3333 (9 votes)
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Solution:
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(Hide)
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07,11,02,17,01
13,19,23,22,03
09,20,24,14,12
16,21,25,18,10
04,08,15,06,05
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