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2020-08-05, 14:22   #393
EdH

"Ed Hall"
Dec 2009

64758 Posts

Quote:
 Originally Posted by garambois @EdH : A lot of thanks for the base 2310. A lot of thanks for your new effort ! I look forward to the results ! For my part, I'm trying to reproduce your calculations so that the program execution time is reasonable...
Here is a set of (hopefully) all the primes >10^4 that repeat within a single sequence for all the current bases listed on the page. If the prime shows up in other sequences, those are listed as well, whether there are repetitions in the subsequent sequence(s) or not.

Here is a familiar sample from the end of base 3:
Code:
prime 3099719989 shows up 2 times ( 142:i1, 142:i2 ).
prime 3661040653 shows up 2 times ( 206:i1, 206:i2 ).
prime 4052490063499 shows up 2 times ( 142:i1, 142:i2 ).
prime 1535090713229126909942383374434289901 shows up 2 times ( 206:i1, 206:i2 ).
Also in base 3:
Code:
prime 50077 shows up 4 times ( 74:i1145, 107:i1, 214:i1, 214:i2 ).
Here is a full list of the primes I found that show up in Indices 1 and 2 within a sequence:
Code:
base2primes:prime 15121 shows up 5 times ( 220:i15, 270:i1, 309:i27, 540:i1, 540:i2 ).
base3primes:prime 17761 shows up 10 times ( 14:i1550, 28:i2055, 68:i1359, 110:i2051, 140:i1820, 185:i1, 185:i2, 204:i1259, 210:i18, 235:i56 ).
base3primes:prime 50077 shows up 4 times ( 74:i1145, 107:i1, 214:i1, 214:i2 ).
base3primes:prime 82219 shows up 5 times ( 78:i861, 142:i1, 142:i2, 150:i633, 204:i10450 ).
base3primes:prime 398581 shows up 18 times ( 26:i1, 26:i2, 52:i1, 52:i2, 78:i1, 78:i2, 104:i1, 104:i2, 130:i1, 130:i2, 156:i1, 156:i2, 182:i1, 182:i2, 208:i1, 208:i2, 234:i1, 234:i2 ).
base3primes:prime 3099719989 shows up 2 times ( 142:i1, 142:i2 ).
base3primes:prime 3661040653 shows up 2 times ( 206:i1, 206:i2 ).
base3primes:prime 4052490063499 shows up 2 times ( 142:i1, 142:i2 ).
base3primes:prime 1535090713229126909942383374434289901 shows up 2 times ( 206:i1, 206:i2 ).
Attached Files
 seqrepbasePrimes.tar.gz (221.0 KB, 12 views)