### Primes by Gnomie

Primes are the subject of homework in December 2016, for the second of four siblings born at evenly spaced intervals. Exploring, she converts the four children’s names alphanumerically (A = 1 etc.) and is surprised that hers is the only one that gives a prime. She fits the names into the grid then fills the grid with prime numbers, none repeated and none beginning with zero. She concludes by writing her name (in letters) below the grid.

Across

1 Anagram of 4d (3)

4 Her sister’s name converted alphanumerically (3)

6 Digits of 34ac are reversed (4)

11 Digits add up to 32ac (3)

12 Digits add up to 23ac (2)

13 Consecutive sequence of digits (4)

14 Digits add to half the sum of digits of 18d (4)

15 Digits add up to 23ac (4)

16 Digits add up to a prime (3)

17 Age of 2d (2)

19 Her name converted alphanumerically to a prime (7)

23 Age of 4ac, the youngest sibling (2)

25 Digits in descending order add up to a prime (3)

27 Anagram of 6d and 20d (4)

29 Birth year of 17ac (4)

31 Digits are in ascending order (4)

32 Age of 12d (2)

33 Digits are in ascending order (3)

34 See 6ac (4)

35 Digits add up to 23ac (3)

36 See 30d; digits add up to a 2-digit prime (3)

Down

1 Anagram of 3d and 21d (4)

2 Her elder brother’s name converted alphanumerically (3)

3 See 1d (4)

4 Palindromic anagram of 1ac (3)

5 Anagram of 25d, 26d and 28d (3)

6 See 27ac; contains the same digits as the next prime in the primes list (4)

7 Digits are in ascending order with one repeated (4)

8 Digits are in descending order and add up to 17ac (3)

9 Digits are in descending order and add up to a prime (4)

10 Anagram of 29d; added to 25d this gives a triangular number (3)

12 Her younger brother’s name, converted alphanumerically (5)

18 Digits add to twice the sum of the digits of 14ac (4)

20 See 27ac (4)

21 See 1d (4)

22 Mother’s birth year (she was 20 when her first child was born) (4)

24 Digits add up to 23ac (4)

25 See 5d (3)

26 See 5d; digits are in ascending order (3)

28 See 5d; digits are in descending order (3)

29 See 10d (3)

30 Palindromic anagram of 36ac (3)

*To enter this competition, send your entry as an image or in list format, giving the name, to ccpuzzles@talktalk.net before 8th April 2017. The first correct entry drawn from the hat will receive a book donated by the Crossword Centre.*