*Albert Frank*

The winner is Edward Vanhove (member of Glia), with 18/20

Second: Rich Rector, 17/20

Third: Eric Wyckmans, 16/20

1) 2, 6, 15, ?, 55, ?, 119

**28, 78** : n times n-th prime

2) 4, ?, 5, 2, 6, 10, 3, 7, 6

**2** : digits of Pi + 1

3) 1, 3, 9, 9, 9, 9, 18, 18, 18, 27, 27, ?, ?

**27, 18** : sum of the digits of 3^n (n = 0,1,2,…)

4) 0, 0, 2, 0, 2, 4, 2, 0, ?, ?

**8, 4** : 2^n modulo n (n = 1,2,3,…)

5) 6, 3, 20, 7, ?, 117, ?, 114

**55, 34** : digits of Pi x prime numbers

6) 6, 7, 2, 1, 5, 9, ?, ?, ?

**8, 3, 4** : third line of the magic square 3x3 with 672 on line 1

7) ?, -1, -1, -1, 0, 2, 6, 13, 25, ?

**0, 45** : n-th Fibonacci number - n

8) 2614534, 4?45??

**464531** : read : 2nd term is 6, 6th term is 1, 1st term is 4, ...

9) 1, 2, 3, 5, 8, 10, ?, 16, 23

**13** : sum of the digits of 1, 11, 21, 1211, …

10) 1010, 202, 132, 130, 122, 114, 106, ?, 90

**88** : 10 times n in the base (n+1)

11) 4, 9, 7, 13, ?, 16, 19, ?, 16, 13

**4, 10** : sum of digits of (prime numbers^2)

12) Why are there two * in the following finite sequence ?

1, 5, 9, 6, 3, *, 2, 4, *, 7, 8, 9

**symbolic writing of the " 9 points " problem**.

13) 5, 6, 7, 8, 8, 8, 8, ?, ?

**8, 9** : first non zero digit of ½, 2/3, ¾, …

14) 4, 6, 10, ?, 3, 7, 15, 19, 11, ?

**14, 29** : sum + product of digits of the prime numbers

15) 6, 14, 6, 5, 40, 90, 104, ?

**48** : question 6) x question 9)

16) -1, -1, 1, 17, 109, 707, ?

**5023** : n ! - n-th prime number

17) 1, 2, 3, 6, ?, 6, 3, 6, 1

**1** : Pi written following e (1 = 2nd digit of Pi, 2 = 7th digit of Pi, 3 = 1st digit of Pi, 6 = 8th digit of Pi, ...

18) 0, 1, 2, 3, 1, 1, ?, 3, ?, 9

**3, 5** : nth prime number modulo n

19) 11, 23, 44, 56, 48, 67, ?

**88** : 1 of the short ways (7 moves) for a knigth to go, on a chessboard, from one corner to the opposite corner

20) 1, 2, 2, 1, 2, 4, 2, 2, 1, 2, ?, 2, 2, 1, 2, 2, 2, ?, 2, 1

**2, 1** : Throw of 2 dices. Probability x 36, by increasing order, of the values of (sum + product)