Calendar ICM2014

8/11/2019 Calendar ICM2014

1/13

Mathematical Calendar


2/13

SUN MON TUE WED THU FRI SAT

29 30 31

On-line PaperSubmission Open

1How manytwin primes

pand p + 2?

22333 isthe smallestprime havingonly three 3s.

3 rep-tiles

4

sec2(arctan 2)

5On-line

Registration Open

6pandigitalexpression9853214076

7 limx8

1|

x8

|

=

8 10999999999 isthe smallestprime havingonly nine 9s.

911 + 22 + 33 + +99 + 1010 is prime.

10

37 + 41 + 43

11

Every fullerene Cnhas exactly 12 .

12 ProclamationCeremonyof the year 2014as the KoreanMathematical Year

13

1

2

1

2

r1 = 1

12+14

r2 = 1

32+14

r3 = 1

52+14

..

.

14

62

15

222

16Notification of

NANUM 2014

Acceptance

17csc 18

2= golden ratio

18

19 | 181716 . . . 321

19

6

3

20

smallest# of squares

21

152 + 162

2223z }| {

11111 . . . 11111 isthe thirdrepunit prime.

23

24!Avogadros #

24

Ramsey # R(4, 5)

25

26: not palindromic262: palindromic

26

1! + 2! + 4!

27

Coxeters graph

28

5e( 1)

29

2 3 5

30

e log 3

log2 4

5

31 1

2 3 4

2014.1. SEOUL ICM 2014 Organizing Commitee All rights reserved.


3/13


26 27 28 29 30 31

i4

1

rep-

tiles2Period 3implies chaos.

34-2014The year 2014 isnot a leap year.

4

4

3 ? 5

4 + (4 + 4)4

6heptagon-shaped50 pence coin

7 888888883 isthe smallestprime havingonly eight 8s.

8

odd # of faces, each facehas the same # of edges

9 10 1F11

= 1

89= 0.01123595

=

Xk=0

Fk

10k+1

114

1 2

3

12

2

3

13 + 1= 59 509

13

1 ++2

14cos15

=

6+

24

2 3

12

15

The largest order ofEtorsion(Q)

16

3133 + 143

17

4+ 2e

18

19

19z

}| {22222 . . . 2222219

is prime.

19

icosiangame

20

8e2e

21

14 + 23 + 32 + 41

22

1!+ 2! + 2!+ 3! + 3! + 3!

23

33 22 + 11

24

30e 18

25Everyprime has one ofspecific 26 primesas a substring.

26

27! + 1 is prime.

27Deadline for

AbstractSubmission

28 1

2 3 4



4/13


23 24 25 26 27 28

ei

1

The smallestprime number.

2

bc

3

log 55

4There areonly 5 Platonicpolyhedra.

5the smallestperfect number

6

M3= 23 1

7

4 + 4 + 4 4

8

1! + 2! + 3!

9

10102

10

121 = 31331

112 1

12

12

TWO + eleven= TWelve + One

13

3.14

14

215 + 15 is prime.

15

10 3.16

1617000000000000071is a 17-digitpalindromic prime.

17

335

18

XIX

19

e

20 6 + 1

2

is the 6th

triangular number.

213 + 19= 5 + 17= 11 + 11

22

1023 23 isthe largest23 digit prime.

23

divides

n(n+1)(n+2)(n+ 3)

24

72 + 242

25263

= 17576= (1+7 +5+ 7+6)3

26273

= 19683= (1+9 +6+ 8+3)3

27

28 exotic7-spheres

28

29 and 2929 are bothprime.

29

339

30

25 1

31 1



5/13


30 31

cos2 + sin2

1

2

1+ 2460

+51

602+

10

603

2

e < 3 <

3

36

9?

4

S5 is not solvable.

5

2Pn=1

1

n2

6

1/7 = 0.142857 . . .

5/7 = 0.7142857 . . .

4/7 = 0.57142857 . . .

6/7 = 0.857142857 . . .

2/7 = 0.2857142857 . . .

3/7 = 0.42857142857 . . .

7 888

8888

+ 8

1000

8 Nine lemma:

0 0 0

0 A B C 0

0 A0 B0 C0 0

0 A00 B00 C00 0

0 0 0

9Notification of

AbstractAcceptance

10

eleven = eleven

11

12 pentominoes

12

13 |

13z}|{1...13, 113z}|{3...3

13

14-faced dice

14tan15

= 2 32 3

12

15

# of trees on4 labeled vertices

16

minimal # of hints

for sudoku puzzle

17

3 (3 + 3)

18

4! 3! + 2! 1!

19

4536

20

1 + 2 + 3 + 4 + 5 + 6

21

39

22

1 + 2 3 4

23

24 + 4 2= 24 + 42

241

4/25

25

2223

26

x3 +px+q; = 4p3 27q2

2728

4

= 614656

=

6 + 1 + 4+6 + 5 + 6

428

Fibonacci numberF29= 514229 isa prime ending in 29.

29

12 + 22 + 32 + 42

30 1 2 3

4 5 6



6/13


27 28 29 30

limx0

ex 1x

1

(Sn: An)

2

Napoleon4

3

a+bi+cj +dkHQuaternion

4 5= 01

2

+ 021

+ 102

+ 120

+ 201

+ 210

5

1 + 2 + + 8

6

Fano plane

7

figure 8 knot

8

321

9Deadline for

Early AdvancedRegistration

10

12+ 112+ 1112

11

dodecahedron

12

How many4s?

13

@n: (n) = 14

14

11112

15

24 = 42

16

F2= 222 + 1

17

133e2

18

7e

19

(1 2 + 3) 4

20

221 21 is prime.

21

222

+ 22 + 2

225

23

= 1

the smallest quadratic

nonresidue modulo 23

23

4 + 4 + 4 4

24

(100) =

(25) = 9

(9) = 4

25 pandigitalexpression

65

10948

237

26

5(e 1)

2728

5

= 17210368

=

1 + 7 + 2 + 1+0 + 3 + 6 + 8

528

170+e

29 9393

93

93

93

93

93

93

93

5

26

4

10

27

24

21

9

6

15

8

3

17

13

20

1

30

29

19

2

7

12

22

25

16

23

28

14

1

8

11

fa


93

24856

107

31

1 2 3



7/13


1 eZ e1

1

xdx

1223 isthe smallestprime havingonly two 2s.

2

nontrivial knot

3 rep-tiles

4

log5

1+1+5+52 +53

5

hexahedron

616 23

30

22 27

7.0000000857

Ed Pegg Jr.s4

7

the same areas

8

1 nano = 109

9 s2+3+5+7+11+13+17+19+23

10

11|1

2nz }| {00 . . . 001

1112th Fibonaccinumber is 122.


13

12 + 22 + 32

14

15 | 10 05

15

713


68

10735

294

17

2 3 + 2! 3!

18

magic hexagon

19

20 +

20

z }| {1111 1111is prime.


56

23897

104

21

3173 + 183

22

2272

23

24! is24 digits long.

24

52

1st Friedman #

25

9

5 10

26 7

12

1

4

83

11

magicsum

26

33

2728! + 1

28 + 1 is

a 28 + 1 digitsprime.

28

12

+ 13

+ 15

+ + 123+

129 >1

29

11e

30 1 2 3 4 5

6 7 8



8/13


29 30

44 + 4 4

1

2n1

2n2

+

2n3

+ 2n2n1

2# of regulartesselationsof the plane

3det A3

= det

" 21 01 21

01 2

#4 p: prime p5 |

p2

p

p

1

5

log(4 +5)

6

1112

7

1 Byte = 8 bits

89z }| {

111111111 9= 12345679

9Deadline for

AdvancedRegistration

10# ofnets for a cube

11

393 + 103

12

1+ 2+ 3+ +12+13

= 12 +22 +32 + +62

13

72 + 82 + 92

14

15

largestequilateral4

15

16! = 14!5!2!

16

There are 17 plane

symmetry groups.

17

2 + 3 + 13

= 2 + 5 + 11

18

19 |

19z}|{1...19, 119z}|{9...9

19

XX

20

12 112 1112

21

22/7

22

2

23z }| {11111 . . . 111113

is prime.

23

24

Leech lattice

24

1 + 2 3 4

25

142 +152+162

26

10000 days27 years

27

(1 + 2 3) 4

28

329 229 is prime.

29

cos30 =

3

2

30

312 325 = 312g325

31 1 2

3 4 5



9/13


27 28 29 30 31

0!

1

V E+F

2

(4 + 4 + 4)4

3 44449 isthe smallestprime havingonly four 4s.

4

pentagon

5 6# of tetrominoesin TETRIS

7

1(8) = Z Z

8 21 12= 32 23=. . .= 98 89

9

IMU GA 1st day

10

IMU GA 2nd day

11MENAOWelcome

Reception

12 Opening CeremonyLaudation for

Prize WinnersNevanlina Prize

LecturePublic Lecture 1

(James Simons)

13Fields Medalist

Lecture 1

Emmy Noether

Lecture

14Fields Medalist

Lecture 2

Abel Lecture

15

Gauss Prize Lecture

Conference Dinner

16

Excursion Day

17Math Education

Day

Chern Prize Lecture

18Math History

Day

Fields Medalist

Lecture 3

19 Math

Popularization DayFields Medalist

Lecture 4Public Lecture 2

(Leelavati PrizeWinner)

20Special

Invited Lecture

(Yitang Zhang)

Closing Ceremony

212ndSmith number22 = 2 112 + 2 = 2 + (1 + 1)

22

23 437

23

1 day = 24 hours

24

256 and 625 are bothsquares.

25

26

65=

2

5

26

72 + 63 + 35


28

202 + 212

29 20

50 60?

30

142

31 1 2



10/13


31 a2

(ab)(ac)+ b

2

(ba)(bc)+ c

2

(ca)(cb)

1

2

22

2

2triangularnumber:1, 3, 6, 10, 15, . . .

31 2 + 3 4 + =

1

4

4

54 =24 + 24 + 34 + 44 + 44

5

nine

6

22 + 32 + 62

7 The smallestcompositeFibonaccinumber

8

Pappus configuration

96 weeks= 10! seconds

10 THREE

THREE

TWO

TWO

+ ONE

ELEVEN

doubly truealphametic

111 year= 12 months

1278910111213is prime.

13

9tan1

14

1+ 2 + 3 + 4 + 5

15

16

64=

1

4

16

23 + 32

17

461! + 2! + + 46!

18

19

95=

1

5

19

Gods #

for Rubiks cube

20

1 + (2 + 3) 4

21

bec

22

23! is pandigital.

23

p, q: primes > 3= 24| p2 q2


68

13975

204

25

square cube

26pandigitalexpression1025463798= 1752036489

27

The secondperfect number

284X

k=0

2k

k

29

33 + 3

30 1 2 3 4

5 6 7



11/13


28 29 30

0.999999

11

1+

1

2+

1

4+

1

8

+ 1

16+

1

32+

2

F0= 220 + 1

3

tetrahedron

4

K5 is not planar.

51 + 2 + 3= 1 2 3

6

32 + 42 + 52

7

Quaterniongroup Q8

8# oftopologieson{1, 2, 3}

9 3 1

2

4

10 10000000019is the smallest1 + 0 + + 0 + 1 + 9digits prime.

11

1 ft = 12 in

12

(13

1)! + 1

0

(mod 132)

13

minimal triangulation

of a torus

14sin15

=

6

24

2 3

12

15pandigitalexpression

1507689423

16

17-gon is

constructible.

17

A half of 18 is 10.

18

j Metonic cycle

19

37cos1

20

101012

21 22

2222...

two twostwo twos

2223= 05 + 14 + 23

+ 32 + 41 + 50

23Every divisor 1is primeexcept 1 & 2.

24

25n = 25

25

Xn=1

n3

2n

26

338

27

446

28

29 |

29z}|{2...29, 2

29z}|{9...9

29pandigitalexpression1746905823= 1749605832

30

22 + 33

31 1

2 3 4



12/13


26 27 28 29 30 310Z

12

ex2

2 dx

1

q2 +

p2 +

2 +

2r

1 + 2

q1 + 3

p1 + 4

3num= +++

4

coth

logp

2 sinh(log2)

5

3!

6

tangram

71088

8 and 10

8+888

areboth prime.

8

cothlogpcosh(log 2)

9

Marions theorem:

110 area

10

11 + 1.1

= 11 1.1

11pandigitalexpression

1073528946

12

s7 + 8 + 9 + +18 + 19

131

4 + 124

4 is the4th Catalan number.

14 15

(1 + 2 + 3) 4

16

92

17

18 | 10 08

18

1 + 2 + 3 + + 19

10

19

Mayan base-20numeral system

20

1114

21

192

4 34

22

9 5109

23

4!

24

25! e58

25

e 11/26

26

How many4s?

27

8e+17e

28

22 + 32 + 42

29

1 ft30cm

30 1 2



13/13


30

The identityof multiplication

10 Z

0

sin x dx

2 a

b

c d

3(a4 +b4 +c4 +d4)= (a2 + b2 + c2 + d2)2

3

2 + 2 = 2 2

4

95

19= 5

5

4

2

6

77767777 isthe smallestprime havingonly seven 7s.

788 is8 digits long.

8123456789 (2, 4, 5, 7, 8)are pandigital.

9

32

e23

10

coth

logp

2tanh(log2)

1112th prime is 37.21st prime is 73.

122+3+5+7+11+13is the 13th prime.

13

102

144 9 23 5 78 1 6

magic sum = 15

15

1 lb = 16 oz

16

34 43

17

EIGHTEEN=EIGHTEEN

1819

z }| {11111 . . . 11111 isthe second

repunit prime.

19

6

201 are

both composite.

20

10

2

circumference 21

22! is22 digits long.

22

10log10

23

highly compositenumber

24

1 + 3 + 5 + 7 + 9

25# ofsporadicsimple groups

26

Cubic surfacescontain 27 lines.

27

2 + 3 + 5 + 7 + 11

28

229 = 536870912all distinct digits

293X

r=0

r

3

r

230

1 + 23 4

31 1 2 3

4 5 6

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