Decomposition of A002837 - 2D graph - First 500 terms
Numbers n such that n^2 - n + 41 is prime.
n |
a002837 |
weight k(n) |
level L(n) |
jump |
1 |
0 |
0 |
0 |
1 |
2 |
1 |
0 |
0 |
1 |
3 |
2 |
0 |
0 |
1 |
4 |
3 |
2 |
1 |
1 |
5 |
4 |
3 |
1 |
1 |
6 |
5 |
2 |
2 |
1 |
7 |
6 |
5 |
1 |
1 |
8 |
7 |
2 |
3 |
1 |
9 |
8 |
7 |
1 |
1 |
10 |
9 |
2 |
4 |
1 |
11 |
10 |
3 |
3 |
1 |
12 |
11 |
2 |
5 |
1 |
13 |
12 |
11 |
1 |
1 |
14 |
13 |
2 |
6 |
1 |
15 |
14 |
13 |
1 |
1 |
16 |
15 |
2 |
7 |
1 |
17 |
16 |
3 |
5 |
1 |
18 |
17 |
2 |
8 |
1 |
19 |
18 |
17 |
1 |
1 |
20 |
19 |
2 |
9 |
1 |
21 |
20 |
19 |
1 |
1 |
22 |
21 |
2 |
10 |
1 |
23 |
22 |
3 |
7 |
1 |
24 |
23 |
2 |
11 |
1 |
25 |
24 |
23 |
1 |
1 |
26 |
25 |
2 |
12 |
1 |
27 |
26 |
5 |
5 |
1 |
28 |
27 |
2 |
13 |
1 |
29 |
28 |
3 |
9 |
1 |
30 |
29 |
2 |
14 |
1 |
31 |
30 |
29 |
1 |
1 |
32 |
31 |
2 |
15 |
1 |
33 |
32 |
31 |
1 |
1 |
34 |
33 |
2 |
16 |
1 |
35 |
34 |
3 |
11 |
1 |
36 |
35 |
2 |
17 |
1 |
37 |
36 |
5 |
7 |
1 |
38 |
37 |
2 |
18 |
1 |
39 |
38 |
37 |
1 |
1 |
40 |
39 |
2 |
19 |
1 |
41 |
40 |
37 |
1 |
3 |
42 |
43 |
2 |
21 |
1 |
43 |
44 |
3 |
14 |
2 |
44 |
46 |
3 |
15 |
1 |
45 |
47 |
2 |
23 |
1 |
46 |
48 |
47 |
1 |
1 |
47 |
49 |
47 |
1 |
2 |
48 |
51 |
2 |
25 |
1 |
49 |
52 |
3 |
17 |
1 |
50 |
53 |
2 |
26 |
1 |
51 |
54 |
53 |
1 |
1 |
52 |
55 |
2 |
27 |
1 |
53 |
56 |
3 |
18 |
2 |
54 |
58 |
3 |
19 |
1 |
55 |
59 |
2 |
29 |
1 |
56 |
60 |
59 |
1 |
1 |
57 |
61 |
2 |
30 |
1 |
58 |
62 |
61 |
1 |
1 |
59 |
63 |
2 |
31 |
1 |
60 |
64 |
3 |
21 |
1 |
61 |
65 |
3 |
21 |
2 |
62 |
67 |
2 |
33 |
1 |
63 |
68 |
67 |
1 |
1 |
64 |
69 |
2 |
34 |
1 |
65 |
70 |
3 |
23 |
1 |
66 |
71 |
2 |
35 |
1 |
67 |
72 |
71 |
1 |
1 |
68 |
73 |
2 |
36 |
1 |
69 |
74 |
73 |
1 |
1 |
70 |
75 |
2 |
37 |
1 |
71 |
76 |
37 |
2 |
2 |
72 |
78 |
7 |
11 |
1 |
73 |
79 |
2 |
39 |
1 |
74 |
80 |
79 |
1 |
1 |
75 |
81 |
6 |
13 |
3 |
76 |
84 |
41 |
2 |
2 |
77 |
86 |
5 |
17 |
1 |
78 |
87 |
5 |
17 |
2 |
79 |
89 |
3 |
29 |
2 |
80 |
91 |
89 |
1 |
2 |
81 |
93 |
2 |
46 |
1 |
82 |
94 |
3 |
31 |
1 |
83 |
95 |
2 |
47 |
1 |
84 |
96 |
47 |
2 |
2 |
85 |
98 |
97 |
1 |
1 |
86 |
99 |
2 |
49 |
1 |
87 |
100 |
3 |
33 |
1 |
88 |
101 |
2 |
50 |
1 |
89 |
102 |
4 |
25 |
2 |
90 |
104 |
3 |
34 |
2 |
91 |
106 |
3 |
35 |
1 |
92 |
107 |
2 |
53 |
1 |
93 |
108 |
107 |
1 |
1 |
94 |
109 |
107 |
1 |
2 |
95 |
111 |
2 |
55 |
1 |
96 |
112 |
3 |
37 |
1 |
97 |
113 |
2 |
56 |
1 |
98 |
114 |
113 |
1 |
1 |
99 |
115 |
2 |
57 |
1 |
100 |
116 |
5 |
23 |
1 |
101 |
117 |
5 |
23 |
2 |
102 |
119 |
2 |
59 |
1 |
103 |
120 |
7 |
17 |
1 |
104 |
121 |
9 |
13 |
4 |
105 |
125 |
2 |
62 |
1 |
106 |
126 |
41 |
3 |
3 |
107 |
129 |
2 |
64 |
1 |
108 |
130 |
4 |
32 |
2 |
109 |
132 |
131 |
1 |
1 |
110 |
133 |
2 |
66 |
1 |
111 |
134 |
7 |
19 |
1 |
112 |
135 |
2 |
67 |
1 |
113 |
136 |
67 |
2 |
2 |
114 |
138 |
4 |
34 |
2 |
115 |
140 |
3 |
46 |
2 |
116 |
142 |
3 |
47 |
1 |
117 |
143 |
3 |
47 |
2 |
118 |
145 |
2 |
72 |
1 |
119 |
146 |
5 |
29 |
1 |
120 |
147 |
5 |
29 |
2 |
121 |
149 |
2 |
74 |
1 |
122 |
150 |
149 |
1 |
1 |
123 |
151 |
2 |
75 |
1 |
124 |
152 |
151 |
1 |
1 |
125 |
153 |
2 |
76 |
1 |
126 |
154 |
3 |
51 |
1 |
127 |
155 |
3 |
51 |
2 |
128 |
157 |
2 |
78 |
1 |
129 |
158 |
157 |
1 |
1 |
130 |
159 |
157 |
1 |
2 |
131 |
161 |
6 |
26 |
5 |
132 |
166 |
3 |
55 |
1 |
133 |
167 |
2 |
83 |
1 |
134 |
168 |
167 |
1 |
1 |
135 |
169 |
2 |
84 |
1 |
136 |
170 |
3 |
56 |
2 |
137 |
172 |
13 |
13 |
3 |
138 |
175 |
2 |
87 |
1 |
139 |
176 |
5 |
35 |
1 |
140 |
177 |
2 |
88 |
1 |
141 |
178 |
4 |
44 |
2 |
142 |
180 |
179 |
1 |
1 |
143 |
181 |
2 |
90 |
1 |
144 |
182 |
181 |
1 |
1 |
145 |
183 |
2 |
91 |
1 |
146 |
184 |
179 |
1 |
5 |
147 |
189 |
2 |
94 |
1 |
148 |
190 |
4 |
47 |
2 |
149 |
192 |
191 |
1 |
1 |
150 |
193 |
2 |
96 |
1 |
151 |
194 |
193 |
1 |
1 |
152 |
195 |
2 |
97 |
1 |
153 |
196 |
3 |
65 |
1 |
154 |
197 |
2 |
98 |
1 |
155 |
198 |
197 |
1 |
1 |
156 |
199 |
2 |
99 |
1 |
157 |
200 |
199 |
1 |
1 |
158 |
201 |
199 |
1 |
2 |
159 |
203 |
2 |
101 |
1 |
160 |
204 |
67 |
3 |
3 |
161 |
207 |
7 |
29 |
4 |
162 |
211 |
2 |
105 |
1 |
163 |
212 |
211 |
1 |
1 |
164 |
213 |
211 |
1 |
2 |
165 |
215 |
6 |
35 |
5 |
166 |
220 |
3 |
73 |
1 |
167 |
221 |
2 |
110 |
1 |
168 |
222 |
13 |
17 |
1 |
169 |
223 |
2 |
111 |
1 |
170 |
224 |
223 |
1 |
1 |
171 |
225 |
2 |
112 |
1 |
172 |
226 |
3 |
75 |
1 |
173 |
227 |
2 |
113 |
1 |
174 |
228 |
227 |
1 |
1 |
175 |
229 |
2 |
114 |
1 |
176 |
230 |
229 |
1 |
1 |
177 |
231 |
2 |
115 |
1 |
178 |
232 |
5 |
46 |
2 |
179 |
234 |
4 |
58 |
2 |
180 |
236 |
233 |
1 |
3 |
181 |
239 |
3 |
79 |
2 |
182 |
241 |
2 |
120 |
1 |
183 |
242 |
3 |
80 |
2 |
184 |
244 |
5 |
48 |
4 |
185 |
248 |
5 |
49 |
3 |
186 |
251 |
4 |
62 |
3 |
187 |
254 |
11 |
23 |
1 |
188 |
255 |
4 |
63 |
3 |
189 |
258 |
257 |
1 |
1 |
190 |
259 |
257 |
1 |
2 |
191 |
261 |
7 |
37 |
2 |
192 |
263 |
2 |
131 |
1 |
193 |
264 |
263 |
1 |
1 |
194 |
265 |
131 |
2 |
3 |
195 |
268 |
7 |
38 |
2 |
196 |
270 |
89 |
3 |
3 |
197 |
273 |
2 |
136 |
1 |
198 |
274 |
3 |
91 |
1 |
199 |
275 |
2 |
137 |
1 |
200 |
276 |
5 |
55 |
1 |
201 |
277 |
2 |
138 |
1 |
202 |
278 |
5 |
55 |
3 |
203 |
281 |
2 |
140 |
1 |
204 |
282 |
281 |
1 |
1 |
205 |
283 |
4 |
70 |
3 |
206 |
286 |
283 |
1 |
3 |
207 |
289 |
7 |
41 |
2 |
208 |
291 |
17 |
17 |
2 |
209 |
293 |
2 |
146 |
1 |
210 |
294 |
293 |
1 |
1 |
211 |
295 |
4 |
73 |
3 |
212 |
298 |
73 |
4 |
6 |
213 |
304 |
3 |
101 |
1 |
214 |
305 |
2 |
152 |
1 |
215 |
306 |
5 |
61 |
1 |
216 |
307 |
2 |
153 |
1 |
217 |
308 |
307 |
1 |
1 |
218 |
309 |
307 |
1 |
2 |
219 |
311 |
2 |
155 |
1 |
220 |
312 |
5 |
62 |
2 |
221 |
314 |
3 |
104 |
2 |
222 |
316 |
3 |
105 |
1 |
223 |
317 |
2 |
158 |
1 |
224 |
318 |
317 |
1 |
1 |
225 |
319 |
2 |
159 |
1 |
226 |
320 |
11 |
29 |
1 |
227 |
321 |
11 |
29 |
2 |
228 |
323 |
2 |
161 |
1 |
229 |
324 |
17 |
19 |
1 |
230 |
325 |
317 |
1 |
8 |
231 |
333 |
2 |
166 |
1 |
232 |
334 |
4 |
83 |
2 |
233 |
336 |
167 |
2 |
2 |
234 |
338 |
3 |
112 |
2 |
235 |
340 |
3 |
113 |
1 |
236 |
341 |
2 |
170 |
1 |
237 |
342 |
4 |
85 |
2 |
238 |
344 |
11 |
31 |
3 |
239 |
347 |
3 |
115 |
2 |
240 |
349 |
347 |
1 |
2 |
241 |
351 |
2 |
175 |
1 |
242 |
352 |
3 |
117 |
1 |
243 |
353 |
2 |
176 |
1 |
244 |
354 |
353 |
1 |
1 |
245 |
355 |
2 |
177 |
1 |
246 |
356 |
5 |
71 |
1 |
247 |
357 |
5 |
71 |
2 |
248 |
359 |
2 |
179 |
1 |
249 |
360 |
7 |
51 |
3 |
250 |
363 |
2 |
181 |
1 |
251 |
364 |
181 |
2 |
2 |
252 |
366 |
5 |
73 |
1 |
253 |
367 |
181 |
2 |
5 |
254 |
372 |
7 |
53 |
1 |
255 |
373 |
5 |
74 |
3 |
256 |
376 |
3 |
125 |
1 |
257 |
377 |
2 |
188 |
1 |
258 |
378 |
4 |
94 |
2 |
259 |
380 |
13 |
29 |
3 |
260 |
383 |
3 |
127 |
2 |
261 |
385 |
383 |
1 |
2 |
262 |
387 |
2 |
193 |
1 |
263 |
388 |
5 |
77 |
3 |
264 |
391 |
2 |
195 |
1 |
265 |
392 |
17 |
23 |
1 |
266 |
393 |
2 |
196 |
1 |
267 |
394 |
3 |
131 |
1 |
268 |
395 |
3 |
131 |
2 |
269 |
397 |
2 |
198 |
1 |
270 |
398 |
397 |
1 |
1 |
271 |
399 |
397 |
1 |
2 |
272 |
401 |
199 |
2 |
3 |
273 |
404 |
13 |
31 |
1 |
274 |
405 |
2 |
202 |
1 |
275 |
406 |
8 |
50 |
6 |
276 |
412 |
3 |
137 |
1 |
277 |
413 |
2 |
206 |
1 |
278 |
414 |
7 |
59 |
1 |
279 |
415 |
2 |
207 |
1 |
280 |
416 |
3 |
138 |
2 |
281 |
418 |
4 |
104 |
2 |
282 |
420 |
8 |
52 |
4 |
283 |
424 |
3 |
141 |
1 |
284 |
425 |
3 |
141 |
2 |
285 |
427 |
4 |
106 |
3 |
286 |
430 |
3 |
143 |
1 |
287 |
431 |
4 |
107 |
3 |
288 |
434 |
433 |
1 |
1 |
289 |
435 |
2 |
217 |
1 |
290 |
436 |
3 |
145 |
1 |
291 |
437 |
2 |
218 |
1 |
292 |
438 |
19 |
23 |
1 |
293 |
439 |
2 |
219 |
1 |
294 |
440 |
3 |
146 |
2 |
295 |
442 |
439 |
1 |
3 |
296 |
445 |
443 |
1 |
2 |
297 |
447 |
2 |
223 |
1 |
298 |
448 |
3 |
149 |
1 |
299 |
449 |
5 |
89 |
4 |
300 |
453 |
2 |
226 |
1 |
301 |
454 |
4 |
113 |
2 |
302 |
456 |
5 |
91 |
1 |
303 |
457 |
2 |
228 |
1 |
304 |
458 |
457 |
1 |
1 |
305 |
459 |
4 |
114 |
3 |
306 |
462 |
461 |
1 |
1 |
307 |
463 |
461 |
1 |
2 |
308 |
465 |
2 |
232 |
1 |
309 |
466 |
463 |
1 |
3 |
310 |
469 |
2 |
234 |
1 |
311 |
470 |
7 |
67 |
1 |
312 |
471 |
233 |
2 |
5 |
313 |
476 |
5 |
95 |
1 |
314 |
477 |
5 |
95 |
2 |
315 |
479 |
2 |
239 |
1 |
316 |
480 |
9 |
53 |
3 |
317 |
483 |
13 |
37 |
2 |
318 |
485 |
2 |
242 |
1 |
319 |
486 |
5 |
97 |
1 |
320 |
487 |
5 |
97 |
2 |
321 |
489 |
487 |
1 |
2 |
322 |
491 |
4 |
122 |
3 |
323 |
494 |
3 |
164 |
2 |
324 |
496 |
13 |
38 |
2 |
325 |
498 |
7 |
71 |
1 |
326 |
499 |
2 |
249 |
1 |
327 |
500 |
3 |
166 |
2 |
328 |
502 |
4 |
125 |
2 |
329 |
504 |
251 |
2 |
2 |
330 |
506 |
503 |
1 |
3 |
331 |
509 |
2 |
254 |
1 |
332 |
510 |
509 |
1 |
1 |
333 |
511 |
2 |
255 |
1 |
334 |
512 |
7 |
73 |
1 |
335 |
513 |
2 |
256 |
1 |
336 |
514 |
4 |
128 |
2 |
337 |
516 |
9 |
57 |
3 |
338 |
519 |
11 |
47 |
2 |
339 |
521 |
2 |
260 |
1 |
340 |
522 |
521 |
1 |
1 |
341 |
523 |
2 |
261 |
1 |
342 |
524 |
3 |
174 |
2 |
343 |
526 |
523 |
1 |
3 |
344 |
529 |
2 |
264 |
1 |
345 |
530 |
7 |
75 |
5 |
346 |
535 |
2 |
267 |
1 |
347 |
536 |
5 |
107 |
1 |
348 |
537 |
2 |
268 |
1 |
349 |
538 |
3 |
179 |
1 |
350 |
539 |
2 |
269 |
1 |
351 |
540 |
7 |
77 |
1 |
352 |
541 |
2 |
270 |
1 |
353 |
542 |
541 |
1 |
1 |
354 |
543 |
2 |
271 |
1 |
355 |
544 |
7 |
77 |
5 |
356 |
549 |
2 |
274 |
1 |
357 |
550 |
3 |
183 |
1 |
358 |
551 |
2 |
275 |
1 |
359 |
552 |
19 |
29 |
1 |
360 |
553 |
19 |
29 |
2 |
361 |
555 |
2 |
277 |
1 |
362 |
556 |
7 |
79 |
3 |
363 |
559 |
2 |
279 |
1 |
364 |
560 |
15 |
37 |
5 |
365 |
565 |
2 |
282 |
1 |
366 |
566 |
3 |
188 |
2 |
367 |
568 |
3 |
189 |
1 |
368 |
569 |
5 |
113 |
4 |
369 |
573 |
5 |
114 |
3 |
370 |
576 |
5 |
115 |
1 |
371 |
577 |
191 |
3 |
4 |
372 |
581 |
2 |
290 |
1 |
373 |
582 |
193 |
3 |
3 |
374 |
585 |
7 |
83 |
4 |
375 |
589 |
587 |
1 |
2 |
376 |
591 |
2 |
295 |
1 |
377 |
592 |
3 |
197 |
1 |
378 |
593 |
3 |
197 |
2 |
379 |
595 |
2 |
297 |
1 |
380 |
596 |
5 |
119 |
1 |
381 |
597 |
2 |
298 |
1 |
382 |
598 |
3 |
199 |
1 |
383 |
599 |
2 |
299 |
1 |
384 |
600 |
13 |
46 |
2 |
385 |
602 |
601 |
1 |
1 |
386 |
603 |
601 |
1 |
2 |
387 |
605 |
3 |
201 |
2 |
388 |
607 |
2 |
303 |
1 |
389 |
608 |
5 |
121 |
3 |
390 |
611 |
151 |
4 |
7 |
391 |
618 |
617 |
1 |
1 |
392 |
619 |
2 |
309 |
1 |
393 |
620 |
3 |
206 |
2 |
394 |
622 |
4 |
155 |
2 |
395 |
624 |
311 |
2 |
2 |
396 |
626 |
5 |
125 |
1 |
397 |
627 |
2 |
313 |
1 |
398 |
628 |
313 |
2 |
2 |
399 |
630 |
4 |
157 |
2 |
400 |
632 |
17 |
37 |
3 |
401 |
635 |
2 |
317 |
1 |
402 |
636 |
317 |
2 |
2 |
403 |
638 |
7 |
91 |
1 |
404 |
639 |
7 |
91 |
2 |
405 |
641 |
2 |
320 |
1 |
406 |
642 |
12 |
53 |
6 |
407 |
648 |
647 |
1 |
1 |
408 |
649 |
2 |
324 |
1 |
409 |
650 |
11 |
59 |
1 |
410 |
651 |
2 |
325 |
1 |
411 |
652 |
5 |
130 |
2 |
412 |
654 |
653 |
1 |
1 |
413 |
655 |
7 |
93 |
4 |
414 |
659 |
2 |
329 |
1 |
415 |
660 |
163 |
4 |
8 |
416 |
668 |
23 |
29 |
1 |
417 |
669 |
5 |
133 |
4 |
418 |
673 |
2 |
336 |
1 |
419 |
674 |
673 |
1 |
1 |
420 |
675 |
4 |
168 |
3 |
421 |
678 |
677 |
1 |
1 |
422 |
679 |
4 |
169 |
3 |
423 |
682 |
4 |
170 |
2 |
424 |
684 |
683 |
1 |
1 |
425 |
685 |
11 |
62 |
3 |
426 |
688 |
3 |
229 |
1 |
427 |
689 |
3 |
229 |
2 |
428 |
691 |
2 |
345 |
1 |
429 |
692 |
13 |
53 |
3 |
430 |
695 |
2 |
347 |
1 |
431 |
696 |
7 |
99 |
3 |
432 |
699 |
17 |
41 |
2 |
433 |
701 |
6 |
116 |
5 |
434 |
706 |
3 |
235 |
1 |
435 |
707 |
3 |
235 |
2 |
436 |
709 |
2 |
354 |
1 |
437 |
710 |
709 |
1 |
1 |
438 |
711 |
709 |
1 |
2 |
439 |
713 |
2 |
356 |
1 |
440 |
714 |
23 |
31 |
1 |
441 |
715 |
4 |
178 |
3 |
442 |
718 |
3 |
239 |
1 |
443 |
719 |
2 |
359 |
1 |
444 |
720 |
719 |
1 |
1 |
445 |
721 |
719 |
1 |
2 |
446 |
723 |
2 |
361 |
1 |
447 |
724 |
3 |
241 |
1 |
448 |
725 |
2 |
362 |
1 |
449 |
726 |
5 |
145 |
1 |
450 |
727 |
5 |
145 |
2 |
451 |
729 |
727 |
1 |
2 |
452 |
731 |
2 |
365 |
1 |
453 |
732 |
7 |
104 |
4 |
454 |
736 |
10 |
73 |
6 |
455 |
742 |
3 |
247 |
1 |
456 |
743 |
2 |
371 |
1 |
457 |
744 |
13 |
57 |
3 |
458 |
747 |
5 |
149 |
2 |
459 |
749 |
373 |
2 |
3 |
460 |
752 |
11 |
68 |
4 |
461 |
756 |
5 |
151 |
1 |
462 |
757 |
2 |
378 |
1 |
463 |
758 |
3 |
252 |
2 |
464 |
760 |
3 |
253 |
1 |
465 |
761 |
3 |
253 |
2 |
466 |
763 |
2 |
381 |
1 |
467 |
764 |
761 |
1 |
3 |
468 |
767 |
7 |
109 |
4 |
469 |
771 |
2 |
385 |
1 |
470 |
772 |
769 |
1 |
3 |
471 |
775 |
4 |
193 |
3 |
472 |
778 |
5 |
155 |
3 |
473 |
781 |
2 |
390 |
1 |
474 |
782 |
389 |
2 |
4 |
475 |
786 |
4 |
196 |
2 |
476 |
788 |
3 |
262 |
2 |
477 |
790 |
787 |
1 |
3 |
478 |
793 |
2 |
396 |
1 |
479 |
794 |
13 |
61 |
1 |
480 |
795 |
787 |
1 |
8 |
481 |
803 |
3 |
267 |
2 |
482 |
805 |
2 |
402 |
1 |
483 |
806 |
5 |
161 |
1 |
484 |
807 |
5 |
161 |
2 |
485 |
809 |
2 |
404 |
1 |
486 |
810 |
809 |
1 |
1 |
487 |
811 |
2 |
405 |
1 |
488 |
812 |
811 |
1 |
1 |
489 |
813 |
2 |
406 |
1 |
490 |
814 |
5 |
162 |
4 |
491 |
818 |
11 |
74 |
4 |
492 |
822 |
19 |
43 |
5 |
493 |
827 |
3 |
275 |
2 |
494 |
829 |
2 |
414 |
1 |
495 |
830 |
829 |
1 |
1 |
496 |
831 |
2 |
415 |
1 |
497 |
832 |
3 |
277 |
1 |
498 |
833 |
2 |
416 |
1 |
499 |
834 |
5 |
166 |
4 |
500 |
838 |
3 |
279 |
1 |