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Flat_Earth-Fat_Girth ago

2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409 419 421 431 433 439 443 449 457 461 463 467 479 487 491 499 503 509 521 523 541

Paging /u/scandalous-goat/

YO CHECK THIS OUT BROTHER.

Change each of those numbers as if they were like I am saying single digits, then check em out. Each of all those prime numbers would end in 1, 5, 7 and 11.

TALK ABOUT MAGIC NUMBERS BITCHES.

See I'm a magical man who just gets answers straight from the wind baby.

AKa each prime number is

12(X) + 1

12(X) + 5

12(X) + 7

12(X) + 11

bless

scandalous-goat ago

Here's your list of primes converted to base 12.

2 3 5 7 b 11 15 17 1b 25 27 31 35 37 3b 45 4b 51 57 5b 61 67 6b 75 81 85 87 8b 91 95 a7 ab b5 b7 105 107 111 117 11b 125 12b 131 13b 141 145 147 157 167 16b 171 175 17b 181 18b 195 19b 1a5 1a7 1b1 1b5 1b7 205 217 21b 221 225 237 241 24b 251 255 25b 267 271 277 27b 285 291 295 2a1 2ab 2b1 2bb 301 307 30b 315 321 325 327 32b 33b 347 34b 357 35b 365 375 377 391

Interesting, indeed.

antiracistNew ago

Why is this interesting?

scandalous-goat ago

The base 10 primes, in base 12 all end in 1, 5, 7 or b (11), without exception.

antiracistNew ago

Yeah, and the primes in base 10 all end in what without exception, (except for 2 and 5)?

They can't end in 0, 2, 4, 6, or 8.

That leaves 1, 3, 5, 7, 9.

But no prime other than 5 can end in 5.

That leaves 1, 3, 7, 9.

Hurray, we've found that all primes greater than 5 must end with one of the same 4 digits.

scandalous-goat ago

base 12:

digit occurrences
1 241
2 1
3 1
5 254
7 249
b 254

base 16:

digit occurrence
1 118
2 1
3 126
5 130
7 127
9 123
b 126
d 124
f 125

antiracistNew ago

Why not provide base 10?

Is there anything significant to be noticed about the number of occurrences?

scandalous-goat ago

base 10:

digit occurrences
1 245
2 1
3 253
5 1
7 254
9 246

Indeed, 5 is missing from all except itself.

antiracistNew ago

Of course, because all numbers ending in 5 are divisible by 5.

scandalous-goat ago

I'll be honest, I'm in drone mode right now.