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Board Announcements (Altcoins)
Re: [ANN][GAP] Gapcoin - Prime Gap Search - New Math Algo - CPU / GPU - Zero Premine
by
gjhiggins
on 05/09/2020, 12:41:43 UTC
FYI: a table showing a rough-and-ready relationship between the shift setting and the number of digits in the primes tested (data taken from the publicly-accessible gapdata.sqlite3.zip SQLite3 database file here on mega.nz).

ShiftPrimedigits
1682
1783
1883
1983
2084
2184
2284
2384
2485
2585
2685
2786
2886
3087
3187
3287
3488
3588
3688
3788
3789
3989
4090
4190
4290
4390
4591
4691
4792
4892
4992
5093
5092
5594
5795
5794
5895
6095
6096
6396
6397
6497
6998
7299
74100
75100
88104
90105
95106
96106
100107
100108
105109
110111
112111
115112
120114
120114
121114
122114
123114
123115
125115
126115
127116
128116
130116
132117
144121
150122
150123
156124
180132
187134
188134
189134
190135
191135
192135
200138
225145
250153
255154
256154
256155
286164
300168
301168
308170
328176
330177
348182
350183
351183
356185
360186
380192
381192
382192
383193
391195
392195
392196
404199
409200
409201
412201
412202
414202
415202
416203
437209
440210
441210
442210
442211
443211
444211
445212
446212
447212
448212
449213
450213
451213
468218
472219
472220
473220
474220
476221
477221
478221
479222
480222
481222
482223
483223
502229
504229
506230
508230
509231
510231
511231
512232
540240
541240
542241
543241
544241
546242
547242
574250
576251
602259
607260
608260
608261
630267
634268
640270
698287
699288
700288
702289
720294
732298
760306
762307
764307
764308
765308
767308
790315
794316
794317
797317
798318
799318
828327
829327
830327
831327
831328
832328
860336
888345
896347
920354
920355
986374
987375
988375
991376
992376
1010381
1011382
1012382
1014383
1017383
1019384
1020384
1020385
1021385
1022385
1023385
1023386
1024386

(I've found that the higher the shift setting, the lower the hashrate, unsurprising).

Gapcoin maxes out (nominally) at a shift of 1024 (as set by Jonny Frey, to avoid DoS) with  max prime digit length of 386, around number 10000 of 95000 in a sorted list of primedigit lengths taken from the prime gaps list (where the extreme upper regions see prime digit lengths of 100,000-200,000).

However, the criterion is maximum known merit and gap size, not the number of digits in the prime and it's worth noting that the current record for the largest prime gap with best merit is still held by Gapcoin with a(n inferred, from "87-digit prime") shift of 30:

Quote
NEW PRIME GAP OF MAXIMUM KNOWN MERIT
The Gapcoin network (Jonnie Frey, developer), a Bitcoin derivative which employs a hashing algorithm to search for prime gaps of high merit, has discovered a new prime gap of maximum known merit, a gap of G=8350 following the 87-digit prime P1=293703234068022590158723766104419463425709075574811762098588798217895728858676728143227. The merit M=G/ln(P1) of this gap is M=41.93878373153988, the largest merit of any known prime gap, and the first prime gap to be discovered with a merit exceeding 40. The endpoints of the gap have been certified as primes deterministically, using the Akiyama-Kida-O'Hara UBASIC implementation (1988-1992) of the APRCL2 test, due to Adleman, Pomerance, Rumely, Cohen, H. W. Lenstra, and A. K. Lenstra (1984-1987).

Cheers

Graham