Prime Collision Frontier — Eight-Lane Dashboard

Integers are partitioned as N = 30·B + L with admissible lanes L ∈ {1,7,11,13,17,19,23,29}. 2, 3 and 5 are base primes outside the lanes. Each lane node runs its own discover → absorb → preserve → observe → activate cycle.

Frontier

1,000

Observed primes

165

Active waves

Trace events

265

open frontier simulator →

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

NODE 1/8

L=1

N ≡ 1 (mod 30)

Absorbed (projected): 23,526
Observed primes: 18

Recent survivors → observed

◆ 991◆ 811◆ 751◆ 691◆ 661◆ 631

Active waves (p² ≤ frontier)

13 · 17 · 19 · 23 · 29 · 31

Next scheduled collisions

× 1,081wave 23
× 1,111wave 11
× 1,141wave 7
× 1,261wave 13

NODE 2/8

L=7

N ≡ 7 (mod 30)

Absorbed (projected): 23,522
Observed primes: 24

Recent survivors → observed

◆ 997◆ 967◆ 937◆ 907◆ 877◆ 787

Active waves (p² ≤ frontier)

13 · 17 · 19 · 23 · 29 · 31

Next scheduled collisions

× 1,027wave 13
× 1,057wave 7
× 1,147wave 31
× 1,177wave 11

NODE 3/8

L=11

N ≡ 11 (mod 30)

Absorbed (projected): 23,523
Observed primes: 22

Recent survivors → observed

◆ 971◆ 941◆ 911◆ 881◆ 821◆ 761

Active waves (p² ≤ frontier)

13 · 17 · 19 · 23 · 29 · 31

Next scheduled collisions

× 1,001wave 7
× 1,121wave 19
× 1,211wave 7
× 1,241wave 17

NODE 4/8

L=13

N ≡ 13 (mod 30)

Absorbed (projected): 23,509
Observed primes: 20

Recent survivors → observed

◆ 883◆ 853◆ 823◆ 733◆ 673◆ 643

Active waves (p² ≤ frontier)

13 · 17 · 19 · 23 · 29 · 31

Next scheduled collisions

× 1,003wave 17
× 1,183wave 7
× 1,243wave 11
× 1,273wave 19

NODE 5/8

L=17

N ≡ 17 (mod 30)

Absorbed (projected): 23,524
Observed primes: 22

Recent survivors → observed

◆ 977◆ 947◆ 887◆ 857◆ 827◆ 797

Active waves (p² ≤ frontier)

13 · 17 · 19 · 23 · 29 · 31

Next scheduled collisions

× 1,007wave 19
× 1,037wave 17
× 1,067wave 11
× 1,127wave 7

NODE 6/8

L=19

N ≡ 19 (mod 30)

Absorbed (projected): 23,545
Observed primes: 18

Recent survivors → observed

◆ 919◆ 859◆ 829◆ 769◆ 739◆ 709

Active waves (p² ≤ frontier)

13 · 17 · 19 · 23 · 29 · 31

Next scheduled collisions

× 1,099wave 7
× 1,159wave 19
× 1,189wave 29
× 1,219wave 23

NODE 7/8

L=23

N ≡ 23 (mod 30)

Absorbed (projected): 23,493
Observed primes: 21

Recent survivors → observed

◆ 983◆ 953◆ 863◆ 773◆ 743◆ 683

Active waves (p² ≤ frontier)

13 · 17 · 19 · 23 · 29 · 31

Next scheduled collisions

× 1,043wave 7
× 1,073wave 29
× 1,133wave 11
× 1,253wave 7

NODE 8/8

L=29

N ≡ 29 (mod 30)

Absorbed (projected): 23,528
Observed primes: 20

Recent survivors → observed

◆ 929◆ 839◆ 809◆ 719◆ 659◆ 599

Active waves (p² ≤ frontier)

13 · 17 · 19 · 23 · 29 · 31

Next scheduled collisions

× 1,079wave 13
× 1,139wave 17
× 1,169wave 7
× 1,199wave 11

Reintegration panel

The eight lane outputs recombined in numeric order — most recent observations first (2, 3, 5 are base primes injected ahead of the lane stream).

997991983977971967953947941937929919911907887883881877863859857853839829827823821811809797787773769761757751743739733727719709701691683677673661659653647643641631619617613607601599593587577571569563557547541523521509503499491487479467463461457449443439433431421419409401397389383379373367