Block Explorer

Each row is one 30-number block B; each column is a lane node L. Only admissible residues exist as locations — the 22 remaining residues per block are pre-excluded by 2, 3 and 5. Locations beyond the current frontier (1,000) that no wave has hit are shown as survivor-unobserved.

PCF operational decision = location survival under all active prior waves. Mathematical interpretation: incremental wheel-sieve construction. This is sieve-type mathematics — no novel primality proof is claimed from mod-30 location alone.
LegendAbsorbed / compositeSurvivor — unobservedPCF survivor / observed primeBase prime 2 / 3 / 5Excluded by 2/3/5
Block BL=1L=7L=11L=13L=17L=19L=23L=29
0
1
7
11
13
17
19
23
29
1
31
37
41
43
47
49
53
59
2
61
67
71
73
77
79
83
89
3
91
97
101
103
107
109
113
119
4
121
127
131
133
137
139
143
149
5
151
157
161
163
167
169
173
179
6
181
187
191
193
197
199
203
209
7
211
217
221
223
227
229
233
239
8
241
247
251
253
257
259
263
269
9
271
277
281
283
287
289
293
299
10
301
307
311
313
317
319
323
329
11
331
337
341
343
347
349
353
359
12
361
367
371
373
377
379
383
389
13
391
397
401
403
407
409
413
419
14
421
427
431
433
437
439
443
449
15
451
457
461
463
467
469
473
479
16
481
487
491
493
497
499
503
509
17
511
517
521
523
527
529
533
539
18
541
547
551
553
557
559
563
569
19
571
577
581
583
587
589
593
599
20
601
607
611
613
617
619
623
629
21
631
637
641
643
647
649
653
659
22
661
667
671
673
677
679
683
689
23
691
697
701
703
707
709
713
719
24
721
727
731
733
737
739
743
749
25
751
757
761
763
767
769
773
779
26
781
787
791
793
797
799
803
809
27
811
817
821
823
827
829
833
839
28
841
847
851
853
857
859
863
869
29
871
877
881
883
887
889
893
899