A number that is the product of the three sides of Pythagorean triangle. more
The first 600 Saint-Exupery numbers :
60,
480,
780,
1620,
2040,
3840,
4200,
6240,
7500,
12180,
12960,
14760,
15540,
16320,
20580,
21060,
30720,
33600,
40260,
43740,
49920,
55080,
60000,
65520,
66780,
79860,
92820,
97440,
97500,
103680,
113400,
118080,
120120,
124320,
130560,
131820,
164640,
168480,
189840,
192720,
199980,
202500,
235620,
245760,
255000,
267540,
268800,
277680,
294780,
322080,
328860,
349920,
354960,
398520,
399360,
411540,
419580,
440640,
453960,
480000,
497640,
524160,
525000,
534240,
555660,
568620,
595140,
619020,
638880,
643500,
699720,
730020,
742560,
779520,
780000,
829440,
907200,
937500,
944640,
960960,
994560,
1021020,
1038180,
1044480,
1054560,
1063860,
1075620,
1087020,
1180980,
1265880,
1317120,
1347840,
1440600,
1463340,
1484340,
1487160,
1518720,
1522500,
1541760,
1599840,
1609080,
1620000,
1713660,
1761540,
1769040,
1787460,
1803060,
1845000,
1855920,
1884960,
1942500,
1966080,
2040000,
2097120,
2140320,
2150400,
2156220,
2221440,
2358240,
2413320,
2441400,
2506140,
2572500,
2576640,
2630880,
2632500,
2715240,
2799360,
2839680,
2943720,
3036540,
3039180,
3061800,
3080280,
3188160,
3194880,
3220140,
3243240,
3292320,
3356640,
3525120,
3559140,
3587220,
3631680,
3779100,
3832140,
3840000,
3981120,
4135260,
4177740,
4193280,
4200000,
4253340,
4273920,
4445280,
4481880,
4548960,
4761120,
4770420,
4825860,
4952160,
5032500,
5062680,
5088720,
5111040,
5125680,
5127780,
5148000,
5203440,
5290740,
5330220,
5350020,
5399460,
5467500,
5590200,
5597760,
5678340,
5840160,
5940480,
6044280,
6229380,
6236160,
6240000,
6283680,
6361740,
6399960,
6635520,
6885000,
7058940,
7157280,
7223580,
7257600,
7322700,
7497360,
7500000,
7557120,
7687680,
7956480,
7959060,
8027460,
8168160,
8190000,
8305440,
8347500,
8355840,
8436480,
8510880,
8604960,
8696160,
8879220,
8932620,
9227400,
9447840,
9490260,
9583920,
9783840,
9903180,
9982500,
10022520,
10127040,
10307220,
10385760,
10536960,
10760040,
10782720,
11111580,
11166960,
11324040,
11328660,
11524800,
11602500,
11706720,
11874720,
11897280,
12149760,
12180000,
12187500,
12256920,
12322740,
12334080,
12798720,
12872640,
12960000,
13130460,
13436280,
13618860,
13709280,
13809180,
13992360,
14092320,
14142240,
14152320,
14175000,
14299680,
14424480,
14760000,
14847360,
15002820,
15015000,
15079680,
15352740,
15381600,
15540000,
15728640,
15925200,
16068780,
16211580,
16320000,
16335060,
16477500,
16713540,
16773900,
16776960,
16984800,
17122560,
17203200,
17249760,
17335980,
17374500,
17771520,
17915040,
18045780,
18783180,
18865920,
18892440,
19023420,
19190280,
19306560,
19531200,
19645560,
19710540,
19769880,
20049120,
20580000,
20613120,
20634600,
20683740,
21047040,
21060000,
21469980,
21474660,
21603600,
21721920,
22394880,
22473360,
22556040,
22717440,
22905540,
23236980,
23341020,
23549760,
23730000,
23762700,
24090000,
24292320,
24313440,
24494400,
24642240,
24820680,
24997140,
24997500,
25312500,
25505280,
25559040,
25616280,
25743900,
25761120,
25848900,
25945920,
26338560,
26759460,
26853120,
27391980,
27567540,
28030860,
28200960,
28473120,
28697760,
28724220,
28807800,
28964040,
29041740,
29053440,
29349540,
29417700,
29452500,
29582340,
30232800,
30657120,
30720000,
30911100,
31837260,
31848960,
31875000,
31886460,
32427720,
32629800,
33082080,
33421920,
33442500,
33546240,
33600000,
34026720,
34141380,
34178760,
34191360,
34307220,
34420680,
34710000,
35562240,
35762220,
35772660,
35855040,
36391680,
36752100,
36847500,
38088960,
38163360,
38372400,
38606880,
38896200,
39060900,
39389280,
39509340,
39510180,
39617280,
40077180,
40153320,
40260000,
40501440,
40709760,
40888320,
41005440,
41022240,
41107500,
41184000,
41201160,
41627520,
42298140,
42325920,
42641760,
42800160,
43195680,
43445160,
43740000,
44127720,
44370000,
44721600,
44782080,
45214260,
45426720,
45721980,
46132020,
46268820,
46721280,
47523840,
47561580,
47764080,
48261420,
48354240,
48599940,
48682620,
48893460,
49753560,
49815000,
49835040,
49889280,
49920000,
49970760,
50109840,
50269440,
50893920,
51101400,
51199680,
51398820,
51442500,
51443640,
52005720,
52447500,
53084160,
53586060,
53758380,
54760380,
55080000,
55238040,
56471520,
56622240,
56745000,
57258240,
57336240,
57393900,
57788640,
58060800,
58217940,
58581600,
59840340,
59978880,
60000000,
60456960,
60773640,
61501440,
61818060,
62015460,
62205000,
63651840,
63672480,
63957960,
63969360,
64219680,
65115120,
65159640,
65345280,
65520000,
65563620,
65625000,
65917800,
66102960,
66443520,
66780000,
66846720,
67108800,
67491840,
67665780,
68087040,
68348280,
68593140,
68839680,
69457500,
69569280,
70618800,
71033760,
71077500,
71275620,
71411340,
71460960,
72515880,
73311480,
73502580,
73819200,
74392500,
75582720,
75922080,
76348020,
76671360,
76878420,
77377500,
77482020,
77701740,
78073800,
78270720,
79225440,
79476240,
79480440,
79860000,
80180160,
80437500,
80817660,
80981940,
81016320,
81986580,
82042740,
82057860,
82457760,
82668600,
83086080,
83167560,
83542620,
84295680,
86080320,
86256300,
86261760,
86573820,
86651040,
86889660,
86943780,
87207120,
87465000,
87567480,
88451220,
88884180,
88892640,
89335680,
90167220,
90592320,
90629280,
90870780,
91252500,
91766220,
92198400,
92820000,
93653760,
94997760,
95178240,
95244240,
96096780,
96854940,
97198080,
97440000,
97500000,
98055360,
98581920,
98672640,
101109540,
101238840,
101474160,
102035700,
102389760,
102433800,
102981120,
103248600,
103332120,
103467780,
103680000,
104548860,
105043680,
106293660,
106588860,
107490240,
108950880,
109674240,
110253720,
110473440,
110670000,
111652020,
111938880,
112738560,
112749780,
112798980,
113137920,
113218560,
113400000,
114397440,
114514620,
114735960,
114840180,
115395840,
116124060,
116798700,
117187500,
117657540.
Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 263800 values, from 60 to 999999999744000).
n\r | 0 | 1 |
2 | 263800 | 0 | 2 |
3 | 263800 | 0 | 0 | 3 |
4 | 263800 | 0 | 0 | 0 | 4 |
5 | 263800 | 0 | 0 | 0 | 0 | 5 |
6 | 263800 | 0 | 0 | 0 | 0 | 0 | 6 |
7 | 132195 | 0 | 0 | 65797 | 65808 | 0 | 0 | 7 |
8 | 185722 | 0 | 0 | 0 | 78078 | 0 | 0 | 0 | 8 |
9 | 129007 | 0 | 0 | 67414 | 0 | 0 | 67379 | 0 | 0 | 9 |
10 | 263800 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10 |
11 | 83298 | 18063 | 18055 | 18037 | 18027 | 18056 | 18055 | 18034 | 18073 | 18061 | 18041 |
A pictorial representation of the table above
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.