くく
・
30×30=0900
・
┏━━┳━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┯━━┓
┃ ┃01│02│03│04│05│06│07│08│09│10│11│12│13│14│15│16│17│18│19│20│21│22│23│24│25│26│27│28│29│30┃
┣━━╋━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┿━━┫
┃01┃0001│0002│0003│0004│0005│0006│0007│0008│0009│0010│0011│0012│0013│0014│0015│0016│0017│0018│0019│0020│0021│0022│0023│0024│0025│0026│0027│0028│0029│0030┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃02┃0002│0004│0006│0008│0010│0012│0014│0016│0018│0020│0022│0024│0026│0028│0030│0032│0034│0036│0038│0040│0042│0044│0046│0048│0050│0052│0054│0056│0058│0060┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃03┃0003│0006│0009│0012│0015│0018│0021│0024│0027│0030│0033│0036│0039│0042│0045│0048│0051│0054│0057│0060│0063│0066│0069│0072│0075│0078│0081│0084│0087│0090┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃04┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃05┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃06┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃07┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃08┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃09┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃10┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃11┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃12┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃13┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃14┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃15┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃16┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃17┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃18┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃19┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃20┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃21┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃22┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃23┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃24┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃25┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃26┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃27┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃28┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃29┃┃
┠──╂──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┼──┨
┃30┃┃
┗━━┻━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┷━━┛
・
・
— 魚田阿萬 (@uota_aman) 2016年12月17日
01
02 04
03 06 09
04 08 12 16
05 10 15 20 25
06 12 18 24 30 36
07 14 21 28 35 42 49
08 16 24 32 40 48 56 64
09 18 27 36 45 54 63 72 81#九九
・
— 魚田阿萬 (@uota_aman) 2016年12月17日
01
02 04
03 06 09
04 08 12 16
05 10 15 20 25
06 12 18 24 30 36
07 14 21 28 35 42 49
08 16 24 32 40 48 56 64
09 18 27 36 45 54 63 72 81
・
・
00003 = (2^00)×3 = 00001×3
00006 = (2^01)×3 = 00002×3
00012 = (2^02)×3 = 00004×3
00024 = (2^03)×3 = 00008×3
00048 = (2^04)×3 = 00016×3
00096 = (2^05)×3 = 00032×3
00192 = (2^06)×3 = 00064×3
00384 = (2^07)×3 = 00128×3
00768 = (2^08)×3 = 00256×3
01536 = (2^09)×3 = 00512×3
03072 = (2^10)×3 = 01024×3
06144 = (2^11)×3 = 02048×3
12288 = (2^12)×3 = 04096×3
24576 = (2^13)×3 = 08192×3
49152 = (2^14)×3 = 16384×3
98304 = (2^15)×3 = 32768×3
・
・
0000003 = (2^00)×3 = 0000001×3 ★
0000006 = (2^01)×3 = 0000002×3
0000012 = (2^02)×3 = 0000004×3
0000024 = (2^03)×3 = 0000008×3
0000048 = (2^04)×3 = 0000016×3
0000096 = (2^05)×3 = 0000032×3 ☆
0000192 = (2^06)×3 = 0000064×3
0000384 = (2^07)×3 = 0000128×3
0000768 = (2^08)×3 = 0000256×3
0001536 = (2^09)×3 = 0000512×3
0003072 = (2^10)×3 = 0001024×3 ★
0006144 = (2^11)×3 = 0002048×3
0012288 = (2^12)×3 = 0004096×3
0024576 = (2^13)×3 = 0008192×3
0049152 = (2^14)×3 = 0016384×3
0098304 = (2^15)×3 = 0032768×3 ☆
0196608 = (2^16)×3 = 0065536×3
0393216 = (2^17)×3 = 0131072×3
0786432 = (2^18)×3 = 0262144×3
1572864 = (2^19)×3 = 0524288×3
3145728 = (2^20)×3 = 1048576×3 ★
・
・
0 000 003 = (2^00) × 3 = 0 000 001 × 3 ★
0 000 006 = (2^01) × 3 = 0 000 002 × 3
0 000 012 = (2^02) × 3 = 0 000 004 × 3
0 000 024 = (2^03) × 3 = 0 000 008 × 3
0 000 048 = (2^04) × 3 = 0 000 016 × 3
0 000 096 = (2^05) × 3 = 0 000 032 × 3 ☆
0 000 192 = (2^06) × 3 = 0 000 064 × 3
0 000 384 = (2^07) × 3 = 0 000 128 × 3
0 000 768 = (2^08) × 3 = 0 000 256 × 3
0 001 536 = (2^09) × 3 = 0 000 512 × 3
0 003 072 = (2^10) × 3 = 0 001 024 × 3 ★
0 006 144 = (2^11) × 3 = 0 002 048 × 3
0 012 288 = (2^12) × 3 = 0 004 096 × 3
0 024 576 = (2^13) × 3 = 0 008 192 × 3
0 049 152 = (2^14) × 3 = 0 016 384 × 3
0 098 304 = (2^15) × 3 = 0 032 768 × 3 ☆
0 196 608 = (2^16) × 3 = 0 065 536 × 3
0 393 216 = (2^17) × 3 = 0 131 072 × 3
0 786 432 = (2^18) × 3 = 0 262 144 × 3
1 572 864 = (2^19) × 3 = 0 524 288 × 3
3 145 728 = (2^20) × 3 = 1 048 576 × 3 ★
・
●
・
0,
01, 02*, 03*, 04**, 05*, 06, 07*, 08**, 09**, 0A, 0B*, 0C, 0D*, 0E, 0F,
0G**,
10*,
11, 12*, 13, 14, 15, 16*, 17, 18**, 19, 1A**, 1B, 1C*, 1D, 1E*, 1F**,
1G,
20,
21, 22, 23*, 24, 25, 26, 27*, 28, 29*, 2A, 2B, 2C, 2D*, 2E, 2F**,
2G,
30,
31, 32*, 33, 34, 35, 36, 37, 38*, 39, 3A*, 3B, 3C, 3D**, 3E, 3F,
3G*,
40,
41, 42, 43*, 44, 45*, 46, 47, 48, 49, 4A, 4B*, 4C, 4D**, 4E, 4F*,
4G,
50,
51, 52, 53, 54*, 55, 56, 57, 58, 59, 5A, 5B, 5C*, 5D, 5E, 5F,
5G*,
60,
61*, 62, 63, 64, 65*, 66, 67*, 68, 69, 6A, 6B*, 6C, 6D, 6E, 6F,
6G,
70,
71, 72**, 73, 74, 75, 76**, 77, 78*, 79**, 7A, 7B, 7C*, 7D, 7E, 7F,
7G,
80,
81*, 82, 83*, 84, 85, 86, 87,
88,
89, 8A, 8B, 8C, 8D*, 8E, 8F*,
8G,
90,
91, 92, 93, 94*, 95, 96, 97, 98, 99, 9A*, 9B, 9C, 9D, 9E*, 9F,
9G**,
A0,
A1, A2, A3*, A4, A5, A6, A7, A8, A9*, AA, AB*, AC, AD, AE, AF,
AG,
B0,
B1, B2, B3, B4*, B5, B6*, B7, B8, B9, BA*, BB, BC*, BD, BE, BF,
BG,
C0,
C1, C2, C3, C4, C5, C6, C7*, C8, C9, CA, CB, CC, CD, CE, CF,
CG,
D0,
D1, D2*, D3, D4, D5, D6*, D7, D8*, D9, DA, DB, DC*, DD, DE, DF,
DG,
E0,
E1*, E2, E3*, E4, E5**, E6, E7, E8, E9, EA, EB, EC, ED*, EE, EF,
EG,
F0,
F1**, F2*, F3, F4, F5, F6, F7, F8*, F9, FA, FB, FC, FD, FE*, FF,
FG*,
G0,
G1, G2, G3, G4, G5*, G6, G7, G8, G9*, GA, GB*, GC, GD, GE, GF,
GG,
・
100**,
・
101, 102, 103, 104*, 105, 106, 107, 108, 109, 10A, 10B, ...
・
* 素数, ** - 素数の乗
・
●
・
────────────────────
0,
01, 02*, 03*, 04**, 05*, 06, 07*,
08**,
09**, 0A, 0B*, 0C, 0D*, 0E, 0F,
0G**,
10*,
────────────────────
11, 12*, 13, 14, 15, 16*, 17,
18**,
19, 1A**, 1B, 1C*, 1D, 1E*, 1F**,
1G,
20,
21, 22, 23*, 24, 25, 26, 27*,
────────────────────
28,
29*, 2A, 2B, 2C, 2D*, 2E, 2F**,
2G,
30,
31, 32*, 33, 34, 35, 36, 37,
38*,
────────────────────
39, 3A*, 3B, 3C, 3D**, 3E, 3F,
3G*,
40,
────────────────────
41, 42, 43*,
44,
45*, 46, 47,
────────────────────
48,
49, 4A, 4B*, 4C, 4D**, 4E, 4F*,
4G,
────────────────────
50,
51, 52, 53, 54*, 55, 56, 57,
58,
59, 5A, 5B, 5C*, 5D, 5E, 5F,
5G*,
60,
────────────────────
61*, 62, 63, 64, 65*, 66, 67*,
68,
69, 6A, 6B*, 6C, 6D, 6E, 6F,
6G,
70,
71, 72**, 73, 74, 75, 76**, 77,
────────────────────
78*,
79**, 7A, 7B, 7C*, 7D, 7E, 7F,
7G,
80,
81*, 82, 83*, 84, 85, 86, 87,
88,
────────────────────
・
* 素数 , ** - 素数の乗
・
●
・
────────────────────
0,
01, 02*, 03*,
04**,
────────────────────
05*, 06, 07*,
08**,
09**, 0A, 0B*,
0C,
0D*, 0E, 0F,
0G**,
────────────────────
10*,
11, 12*, 13,
14,
────────────────────
15, 16*, 17,
18**,
19, 1A**, 1B,
1C*,
1D, 1E*, 1F**,
1G,
────────────────────
20,
21,
22,
23*,
24,
────────────────────
25, 26, 27*,
28,
29*, 2A, 2B,
2C,
2D*, 2E, 2F**,
2G,
────────────────────
30,
31, 32*, 33,
34,
────────────────────
35, 36, 37,
38*,
39, 3A*, 3B,
3C,
3D**, 3E, 3F,
3G*,
────────────────────
40,
41, 42, 43*,
44,
────────────────────
・
* 素数 , ** - 素数の乗
・
●
・
────────────────────
0,
01,
02*,
────────────────────
03*,
04**,
05*,
06,
07*,
08**,
09**,
0A,
0B*,
0C,
0D*,
0E,
0F,
0G**,
────────────────────
10*,
11,
12*,
────────────────────
13,
14,
15,
16*,
17,
18**,
19,
1A**,
1B,
1C*,
1D,
1E*,
1F**,
1G,
────────────────────
20,
21,
22,
────────────────────
・
* 素数 , ** 素数の乗
・
●
・
────────────────────
0,
01,
────────────────────
02*,
03*,
04**,
05*,
06,
07*,
08**,
────────────────────
09**,
────────────────────
0A,
0B*,
0C,
0D*,
0E,
0F,
0G**,
────────────────────
10*,
11,
────────────────────
・
* 素数 , ** 素数の乗
・
◆ ◆ ◆ ◆ ◆
・
────────────────────
0,
01, 02*, 03*, 04**, 05*, 06, 07*,
08**,
──────────
09**, 0A, 0B*, 0C, 0D*, 0E, 0F,
0G**,
────────────────────
10*,
11, 12*, 13, 14, 15, 16*, 17,
18**,
──────────
19, 1A**, 1B, 1C*, 1D, 1E*, 1F**,
1G,
────────────────────
20,
21, 22, 23*, 24, 25, 26, 27*,
28,
──────────
29*, 2A, 2B, 2C, 2D*, 2E, 2F**,
2G,
────────────────────
30,
31, 32*, 33, 34, 35, 36, 37,
38*,
──────────
39, 3A*, 3B, 3C, 3D**, 3E, 3F,
3G*,
────────────────────
40,
41, 42, 43*,
44,
45*, 46, 47,
48,
────────────────────
49, 4A, 4B*, 4C, 4D**, 4E, 4F*,
4G,
──────────
50,
51, 52, 53, 54*, 55, 56, 57,
58,
────────────────────
59, 5A, 5B, 5C*, 5D, 5E, 5F,
5G*,
──────────
60,
61*, 62, 63, 64, 65*, 66, 67*,
68,
────────────────────
69, 6A, 6B*, 6C, 6D, 6E, 6F,
6G,
──────────
70,
71, 72**, 73, 74, 75, 76**, 77,
78*,
────────────────────
79**, 7A, 7B, 7C*, 7D, 7E, 7F,
7G,
──────────
80,
81*, 82, 83*, 84, 85, 86, 87,
88,
────────────────────
・
* 素数 , ** 素数の乗
・
・
17×17-1 = 289-1 = 288
288÷9 = 32
・
・
17×17 = 289
16×18 = 288
(a+1)×(a-1) = (a^2)-1
16×18 = 16×(2×9) = (16×2)×9 = 32×9
・
・
9×(2^0)+1 = 9×01+1 = 009+1 = 010 (09+1)
9×(2^1)+1 = 9×02+1 = 018+1 = 019 (11+1)
9×(2^2)+1 = 9×04+1 = 036+1 = 037 (22+1)
9×(2^3)+1 = 9×08+1 = 072+1 = 073 (44+1)
9×(2^4)+1 = 9×16+1 = 144+1 = 145 (88+1)
9×(2^5)+1 = 9×32+1 = 288+1 = 289 (GG+1)
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