Prime numbers are integers greater than one which only
can divided with itself or 1 without remainder.
The first 200 prime-numbers:
2
1 |
3
2 |
5
3 |
7
4 |
11
5 |
13
6 |
17
7 |
19
8 |
23
9 |
29
10 |
31
11 |
37
12 |
41
13 |
43
14 |
47
15 |
53
16 |
59
17 |
61
18 |
67
19 |
71
20 |
73
21 |
79
22 |
83
23 |
89
24 |
97
25 |
101
26 |
103
27 |
107
28 |
109
29 |
113
30 |
127
31 |
131
32 |
137
33 |
139
34 |
149
35 |
151
36 |
157
37 |
163
38 |
167
39 |
173
40 |
179
41 |
181
42 |
191
43 |
193
44 |
197
45 |
199
46 |
211
47 |
223
48 |
227
49 |
229
50 |
233
51 |
239
52 |
241
53 |
251
54 |
257
55 |
263
56 |
269
57 |
271
58 |
277
59 |
281
60 |
283
61 |
293
62 |
307
63 |
311
64 |
313
65 |
317
66 |
331
67 |
337
68 |
347
69 |
349
70 |
353
71 |
359
72 |
367
73 |
373
74 |
379
75 |
383
76 |
389
77 |
397
78 |
401
79 |
409
80 |
419
81 |
421
82 |
431
83 |
433
84 |
439
85 |
443
86 |
449
87 |
457
88 |
461
89 |
463
90 |
467
91 |
479
92 |
487
93 |
491
94 |
499
95 |
503
96 |
509
97 |
521
98 |
523
99 |
541
100 |
547
101 |
557
102 |
563
103 |
569
104 |
571
105 |
577
106 |
587
107 |
593
108 |
599
109 |
601
110 |
607
111 |
613
112 |
617
113 |
619
114 |
631
115 |
641
116 |
643
117 |
647
118 |
653
119 |
659
120 |
661
121 |
673
122 |
677
123 |
683
124 |
691
125 |
701
126 |
709
127 |
719
128 |
727
129 |
733
130 |
739
131 |
743
132 |
751
133 |
757
134 |
761
135 |
769
136 |
773
137 |
787
138 |
797
139 |
809
140 |
811
141 |
821
142 |
823
143 |
827
144 |
829
145 |
839
146 |
853
147 |
857
148 |
859
149 |
863
150 |
877
151 |
881
152 |
883
153 |
887
154 |
907
155 |
911
156 |
919
157 |
929
158 |
937
159 |
941
160 |
947
161 |
953
162 |
967
163 |
971
164 |
977
165 |
983
166 |
991
167 |
997
168 |
1009
169 |
1013
170 |
1019
171 |
1021
172 |
1031
173 |
1033
174 |
1039
175 |
1049
176 |
1051
177 |
1061
178 |
1063
179 |
1069
180 |
1087
181 |
1091
182 |
1093
183 |
1097
184 |
1103
185 |
1109
186 |
1117
187 |
1123
188 |
1129
189 |
1151
190 |
1153
191 |
1163
192 |
1171
193 |
1181
194 |
1187
195 |
1193
196 |
1201
197 |
1213
198 |
1217
199 |
1223
200 |
The first 200,000 prime-numbers you can download here (1.7MB),
or the factorization of 2 to 1,000,000 here (20MB).
Mathematical Consideration
All even numbers are divideable by 2 and therefore do not qualify to be
a prime-number. The odd number you factorize,
e.g. asking if 87 is a prime-numberwe start to divide it with the smallest prime-number, 87 / 2 = 43 + 1, 87 / 3 = 29;this means since it's divideable by 3 without remainder then it's not a prime. let's try with 89, it can be tested alike, with 2, 3, 7, 11, 13, etc and can't be divideable by other prime-numbers and you realize it is prime itself.
Needless to say to find large prime-numbers can be immense overhead, and this
became for the last years a competition for supercomputers:
Prime |
Digits |
Who |
When |
26972593-1 |
2,098,960 |
Hajratwala, Woltman, Kurowski, GIMPS |
1999 |
23021377-1 |
909,526 |
Clarkson, Woltman, Kurowski, GIMPS |
1998 |
22976221-1 |
895,932 |
Spence, Woltman, GIMPS |
1997 |
21398269-1 |
420,921 |
Armengaud, Woltman, GIMPS |
1996 |
21257787-1 |
378,632 |
Slowinski, Gage |
1996 |
4859465536+1 |
307,140 |
Scott, Gallot |
2000 |
2859433-1 |
258,716 |
Slowinski, Gage |
1994 |
2756839-1 |
227,832 |
Slowinski, Gage |
1992 |
667071*2667071-1 |
200,815 |
Toplic, Gallot |
2000 |
99923632768+1 |
196,598 |
Scott, Gallot |
2000 |
For updates check The Largest Known Primes
Spiritual Consideration
I cannot write about this yet, but I feel Prime-Numbers are living
beings, not as we imagine them as deceased beings for a form and
ideas of being human, but they, as all numbers, are conscious beings;
and there is a way to address Prime-Numbers in an affirmation and
discover their hidden nature which has not been yet discover or
cover by the solely mathematical approach. As soon I find reference
material or by my own experience I will include this here on this page.
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