Prime numbers sequence

In this sequence every element is a natural number greater than 1 that is not a product of two smaller natural numbers.

1st 2
2nd 3
3rd 5
4th 7
5th 11
6th 13
7th 17
8th 19
9th 23
10th 29
11th 31
12th 37
13th 41
14th 43
15th 47
16th 53
17th 59
18th 61
19th 67
20th 71
21st 73
22nd 79
23rd 83
24th 89
25th 97
26th 101
27th 103
28th 107
29th 109
30th 113
31st 127
32nd 131
33rd 137
34th 139
35th 149
36th 151
37th 157
38th 163
39th 167
40th 173
41st 179
42nd 181
43rd 191
44th 193
45th 197
46th 199
47th 211
48th 223
49th 227
50th 229
51st 233
52nd 239
53rd 241
54th 251
55th 257
56th 263
57th 269
58th 271
59th 277
60th 281
61st 283
62nd 293
63rd 307
64th 311
65th 313
66th 317
67th 331
68th 337
69th 347
70th 349
71st 353
72nd 359
73rd 367
74th 373
75th 379
76th 383
77th 389
78th 397
79th 401
80th 409
81st 419
82nd 421
83rd 431
84th 433
85th 439
86th 443
87th 449
88th 457
89th 461
90th 463
91st 467
92nd 479
93rd 487
94th 491
95th 499
96th 503
97th 509
98th 521
99th 523
100th 541
101st 547
102nd 557
103rd 563
104th 569
105th 571
106th 577
107th 587
108th 593
109th 599
110th 601
111th 607
112th 613
113th 617
114th 619
115th 631
116th 641
117th 643
118th 647
119th 653
120th 659
121st 661
122nd 673
123rd 677
124th 683
125th 691
126th 701
127th 709
128th 719
129th 727
130th 733
131st 739
132nd 743
133rd 751
134th 757
135th 761
136th 769
137th 773
138th 787
139th 797
140th 809
141st 811
142nd 821
143rd 823
144th 827
145th 829
146th 839
147th 853
148th 857
149th 859
150th 863
151st 877
152nd 881
153rd 883
154th 887
155th 907
156th 911
157th 919
158th 929
159th 937
160th 941
161st 947
162nd 953
163rd 967
164th 971
165th 977
166th 983
167th 991
168th 997
169th 1009
170th 1013
171st 1019
172nd 1021
173rd 1031
174th 1033
175th 1039
176th 1049
177th 1051
178th 1061
179th 1063
180th 1069
181st 1087
182nd 1091
183rd 1093
184th 1097
185th 1103
186th 1109
187th 1117
188th 1123
189th 1129
190th 1151
191st 1153
192nd 1163
193rd 1171
194th 1181
195th 1187
196th 1193
197th 1201
198th 1213
199th 1217
200th 1223
201st 1229
202nd 1231
203rd 1237
204th 1249
205th 1259
206th 1277
207th 1279
208th 1283
209th 1289
210th 1291
211th 1297
212th 1301
213th 1303
214th 1307
215th 1319
216th 1321
217th 1327
218th 1361
219th 1367
220th 1373
221st 1381
222nd 1399
223rd 1409
224th 1423
225th 1427
226th 1429
227th 1433
228th 1439
229th 1447
230th 1451
231st 1453
232nd 1459
233rd 1471
234th 1481
235th 1483
236th 1487
237th 1489
238th 1493
239th 1499
240th 1511
241st 1523
242nd 1531
243rd 1543
244th 1549
245th 1553
246th 1559
247th 1567
248th 1571
249th 1579
250th 1583
251st 1597
252nd 1601
253rd 1607
254th 1609
255th 1613
256th 1619
257th 1621
258th 1627
259th 1637
260th 1657
261st 1663
262nd 1667
263rd 1669
264th 1693
265th 1697
266th 1699
267th 1709
268th 1721
269th 1723
270th 1733
271st 1741
272nd 1747
273rd 1753
274th 1759
275th 1777
276th 1783
277th 1787
278th 1789
279th 1801
280th 1811
281st 1823
282nd 1831
283rd 1847
284th 1861
285th 1867
286th 1871
287th 1873
288th 1877
289th 1879
290th 1889
291st 1901
292nd 1907
293rd 1913
294th 1931
295th 1933
296th 1949
297th 1951
298th 1973
299th 1979
300th 1987
301st 1993
302nd 1997
303rd 1999
304th 2003
305th 2011
306th 2017
307th 2027
308th 2029
309th 2039
310th 2053
311th 2063
312th 2069
313th 2081
314th 2083
315th 2087
316th 2089
317th 2099
318th 2111
319th 2113
320th 2129
321st 2131
322nd 2137
323rd 2141
324th 2143
325th 2153
326th 2161
327th 2179
328th 2203
329th 2207
330th 2213
331st 2221
332nd 2237
333rd 2239
334th 2243
335th 2251
336th 2267
337th 2269
338th 2273
339th 2281
340th 2287
341st 2293
342nd 2297
343rd 2309
344th 2311
345th 2333
346th 2339
347th 2341
348th 2347
349th 2351
350th 2357
351st 2371
352nd 2377
353rd 2381
354th 2383
355th 2389
356th 2393
357th 2399
358th 2411
359th 2417
360th 2423
361st 2437
362nd 2441
363rd 2447
364th 2459
365th 2467
366th 2473
367th 2477
368th 2503
369th 2521
370th 2531
371st 2539
372nd 2543
373rd 2549
374th 2551
375th 2557
376th 2579
377th 2591
378th 2593
379th 2609
380th 2617
381st 2621
382nd 2633
383rd 2647
384th 2657
385th 2659
386th 2663
387th 2671
388th 2677
389th 2683
390th 2687
391st 2689
392nd 2693
393rd 2699
394th 2707
395th 2711
396th 2713
397th 2719
398th 2729
399th 2731
400th 2741
401st 2749
402nd 2753
403rd 2767
404th 2777
405th 2789
406th 2791
407th 2797
408th 2801
409th 2803
410th 2819
411th 2833
412th 2837
413th 2843
414th 2851
415th 2857
416th 2861
417th 2879
418th 2887
419th 2897
420th 2903
421st 2909
422nd 2917
423rd 2927
424th 2939
425th 2953
426th 2957
427th 2963
428th 2969
429th 2971
430th 2999
431st 3001
432nd 3011
433rd 3019
434th 3023
435th 3037
436th 3041
437th 3049
438th 3061
439th 3067
440th 3079
441st 3083
442nd 3089
443rd 3109
444th 3119
445th 3121
446th 3137
447th 3163
448th 3167
449th 3169
450th 3181
451st 3187
452nd 3191
453rd 3203
454th 3209
455th 3217
456th 3221
457th 3229
458th 3251
459th 3253
460th 3257
461st 3259
462nd 3271
463rd 3299
464th 3301
465th 3307
466th 3313
467th 3319
468th 3323
469th 3329
470th 3331
471st 3343
472nd 3347
473rd 3359
474th 3361
475th 3371
476th 3373
477th 3389
478th 3391
479th 3407
480th 3413
481st 3433
482nd 3449
483rd 3457
484th 3461
485th 3463
486th 3467
487th 3469
488th 3491
489th 3499
490th 3511
491st 3517
492nd 3527
493rd 3529
494th 3533
495th 3539
496th 3541
497th 3547
498th 3557
499th 3559
500th 3571
501st 3581
502nd 3583
503rd 3593
504th 3607
505th 3613
506th 3617
507th 3623
508th 3631
509th 3637
510th 3643
511th 3659
512th 3671
513th 3673
514th 3677
515th 3691
516th 3697
517th 3701
518th 3709
519th 3719
520th 3727
521st 3733
522nd 3739
523rd 3761
524th 3767
525th 3769
526th 3779
527th 3793
528th 3797
529th 3803
530th 3821
531st 3823
532nd 3833
533rd 3847
534th 3851
535th 3853
536th 3863
537th 3877
538th 3881
539th 3889
540th 3907
541st 3911
542nd 3917
543rd 3919
544th 3923
545th 3929
546th 3931
547th 3943
548th 3947
549th 3967
550th 3989
551st 4001
552nd 4003
553rd 4007
554th 4013
555th 4019
556th 4021
557th 4027
558th 4049
559th 4051
560th 4057
561st 4073
562nd 4079
563rd 4091
564th 4093
565th 4099
566th 4111
567th 4127
568th 4129
569th 4133
570th 4139
571st 4153
572nd 4157
573rd 4159
574th 4177
575th 4201
576th 4211
577th 4217
578th 4219
579th 4229
580th 4231
581st 4241
582nd 4243
583rd 4253
584th 4259
585th 4261
586th 4271
587th 4273
588th 4283
589th 4289
590th 4297
591st 4327
592nd 4337
593rd 4339
594th 4349
595th 4357
596th 4363
597th 4373
598th 4391
599th 4397
600th 4409
601st 4421
602nd 4423
603rd 4441
604th 4447
605th 4451
606th 4457
607th 4463
608th 4481
609th 4483
610th 4493
611th 4507
612th 4513
613th 4517
614th 4519
615th 4523
616th 4547
617th 4549
618th 4561
619th 4567
620th 4583
621st 4591
622nd 4597
623rd 4603
624th 4621
625th 4637
626th 4639
627th 4643
628th 4649
629th 4651
630th 4657
631st 4663
632nd 4673
633rd 4679
634th 4691
635th 4703
636th 4721
637th 4723
638th 4729
639th 4733
640th 4751
641st 4759
642nd 4783
643rd 4787
644th 4789
645th 4793
646th 4799
647th 4801
648th 4813
649th 4817
650th 4831
651st 4861
652nd 4871
653rd 4877
654th 4889
655th 4903
656th 4909
657th 4919
658th 4931
659th 4933
660th 4937
661st 4943
662nd 4951
663rd 4957
664th 4967
665th 4969
666th 4973
667th 4987
668th 4993
669th 4999
670th 5003
671st 5009
672nd 5011
673rd 5021
674th 5023
675th 5039
676th 5051
677th 5059
678th 5077
679th 5081
680th 5087
681st 5099
682nd 5101
683rd 5107
684th 5113
685th 5119
686th 5147
687th 5153
688th 5167
689th 5171
690th 5179
691st 5189
692nd 5197
693rd 5209
694th 5227
695th 5231
696th 5233
697th 5237
698th 5261
699th 5273
700th 5279
701st 5281
702nd 5297
703rd 5303
704th 5309
705th 5323
706th 5333
707th 5347
708th 5351
709th 5381
710th 5387
711th 5393
712th 5399
713th 5407
714th 5413
715th 5417
716th 5419
717th 5431
718th 5437
719th 5441
720th 5443
721st 5449
722nd 5471
723rd 5477
724th 5479
725th 5483
726th 5501
727th 5503
728th 5507
729th 5519
730th 5521
731st 5527
732nd 5531
733rd 5557
734th 5563
735th 5569
736th 5573
737th 5581
738th 5591
739th 5623
740th 5639
741st 5641
742nd 5647
743rd 5651
744th 5653
745th 5657
746th 5659
747th 5669
748th 5683
749th 5689
750th 5693
751st 5701
752nd 5711
753rd 5717
754th 5737
755th 5741
756th 5743
757th 5749
758th 5779
759th 5783
760th 5791
761st 5801
762nd 5807
763rd 5813
764th 5821
765th 5827
766th 5839
767th 5843
768th 5849
769th 5851
770th 5857
771st 5861
772nd 5867
773rd 5869
774th 5879
775th 5881
776th 5897
777th 5903
778th 5923
779th 5927
780th 5939
781st 5953
782nd 5981
783rd 5987
784th 6007
785th 6011
786th 6029
787th 6037
788th 6043
789th 6047
790th 6053
791st 6067
792nd 6073
793rd 6079
794th 6089
795th 6091
796th 6101
797th 6113
798th 6121
799th 6131
800th 6133
801st 6143
802nd 6151
803rd 6163
804th 6173
805th 6197
806th 6199
807th 6203
808th 6211
809th 6217
810th 6221
811th 6229
812th 6247
813th 6257
814th 6263
815th 6269
816th 6271
817th 6277
818th 6287
819th 6299
820th 6301
821st 6311
822nd 6317
823rd 6323
824th 6329
825th 6337
826th 6343
827th 6353
828th 6359
829th 6361
830th 6367
831st 6373
832nd 6379
833rd 6389
834th 6397
835th 6421
836th 6427
837th 6449
838th 6451
839th 6469
840th 6473
841st 6481
842nd 6491
843rd 6521
844th 6529
845th 6547
846th 6551
847th 6553
848th 6563
849th 6569
850th 6571
851st 6577
852nd 6581
853rd 6599
854th 6607
855th 6619
856th 6637
857th 6653
858th 6659
859th 6661
860th 6673
861st 6679
862nd 6689
863rd 6691
864th 6701
865th 6703
866th 6709
867th 6719
868th 6733
869th 6737
870th 6761
871st 6763
872nd 6779
873rd 6781
874th 6791
875th 6793
876th 6803
877th 6823
878th 6827
879th 6829
880th 6833
881st 6841
882nd 6857
883rd 6863
884th 6869
885th 6871
886th 6883
887th 6899
888th 6907
889th 6911
890th 6917
891st 6947
892nd 6949
893rd 6959
894th 6961
895th 6967
896th 6971
897th 6977
898th 6983
899th 6991
900th 6997
901st 7001
902nd 7013
903rd 7019
904th 7027
905th 7039
906th 7043
907th 7057
908th 7069
909th 7079
910th 7103
911th 7109
912th 7121
913th 7127
914th 7129
915th 7151
916th 7159
917th 7177
918th 7187
919th 7193
920th 7207
921st 7211
922nd 7213
923rd 7219
924th 7229
925th 7237
926th 7243
927th 7247
928th 7253
929th 7283
930th 7297
931st 7307
932nd 7309
933rd 7321
934th 7331
935th 7333
936th 7349
937th 7351
938th 7369
939th 7393
940th 7411
941st 7417
942nd 7433
943rd 7451
944th 7457
945th 7459
946th 7477
947th 7481
948th 7487
949th 7489
950th 7499
951st 7507
952nd 7517
953rd 7523
954th 7529
955th 7537
956th 7541
957th 7547
958th 7549
959th 7559
960th 7561
961st 7573
962nd 7577
963rd 7583
964th 7589
965th 7591
966th 7603
967th 7607
968th 7621
969th 7639
970th 7643
971st 7649
972nd 7669
973rd 7673
974th 7681
975th 7687
976th 7691
977th 7699
978th 7703
979th 7717
980th 7723
981st 7727
982nd 7741
983rd 7753
984th 7757
985th 7759
986th 7789
987th 7793
988th 7817
989th 7823
990th 7829
991st 7841
992nd 7853
993rd 7867
994th 7873
995th 7877
996th 7879
997th 7883
998th 7901
999th 7907
1000th 7919