000RM.dvi

108 Lattice polygons

A cross number puzzle

0 1 2 3 4 5 6 7 8 9

0

1

2

3

4

5

6

7

8

9

123 4 567

8 9 10

11 12 13

14 15 16 17

18 19

21

22 23 24 25 26

27 28 29

20

31 32

30

Across Down

1 A perfect square 1 A multiple of 11

4 A palindromic integer 2 The product of the positive

8 This many degrees Fahrenheit divisors of the number is 2022

is 265 degrees Centigrade 3 See 9-across

9 With 3-down, a permutation 4 A Fermat prime

of the digits 0 through 9 5 Product of the first 3 primes

11 Second smallest prime of 6 Colleague of 1-across

the formn^2 +2n+1,n> 0 7 In base 2, this number is

13 A gross number written 11010001110001

14 19-down minus 18-down 10 Yet another perfect square!

plus 26-down 12 The first prime year after 1950

17 Number of 2-digit primes 15 This many degrees is^256 πradians

18 The product of the digits 16 The 17th Fibonacci number

of this number is 78125 18 2102 + 111^2

20 The sum of this number’s 19 The least common multiple of 36

positive divisors is 91 and 1631

21 332 +3^220 The number of positive perfect squares

22 This number is the sum of less than 105

the factorials of its digits 23 The number of positive integers

24 A power of 6 less than 625 which are not divisible by 5

27 The sum of the fourth power 25 The sum of these digits is 15, and

of 5 consecutive triangular numbers their product is 84

30 A Mersenne prime 26 Palindromic square

31 A power of 2 28 The only even prime number

32 The number of the beast 29 20-across minus 28-down