Author Topic: How To Cope With The Consequences of Defiance  (Read 3169 times)

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Re: How To Cope With The Consequences of Defiance
« on: July 16, 2014, 07:09:55 pm »
Mathematical Mystery Tour

I changed my prime factor code a little, making the array of primes 50000 instead of 6666.

Of the first 50000 primes, there are 5423 "twins".

I put the output in the file test.txt if you want to look for some kind of pattern.

The first 21 pairs:

{3, 5 } are twin primes set # 1
{5, 7 } are twin primes set # 2
{11, 13 } are twin primes set # 3
{17, 19 } are twin primes set # 4
{29, 31 } are twin primes set # 5
{41, 43 } are twin primes set # 6
{59, 61 } are twin primes set # 7
{71, 73 } are twin primes set # 8
{101, 103 } are twin primes set # 9
{107, 109 } are twin primes set # 10
{137, 139 } are twin primes set # 11
{149, 151 } are twin primes set # 12
{179, 181 } are twin primes set # 13
{191, 193 } are twin primes set # 14
{197, 199 } are twin primes set # 15
{227, 229 } are twin primes set # 16
{239, 241 } are twin primes set # 17
{269, 271 } are twin primes set # 18
{281, 283 } are twin primes set # 19
{311, 313 } are twin primes set # 20
{347, 349 } are twin primes set # 21


The last  (of first 50000 primes):

{608591, 608593 } are twin primes set # 5401
{608609, 608611 } are twin primes set # 5402
{608897, 608899 } are twin primes set # 5403
{608987, 608989 } are twin primes set # 5404
{609359, 609361 } are twin primes set # 5405
{609599, 609601 } are twin primes set # 5406
{609617, 609619 } are twin primes set # 5407
{609779, 609781 } are twin primes set # 5408
{609911, 609913 } are twin primes set # 5409
{609989, 609991 } are twin primes set # 5410
{610217, 610219 } are twin primes set # 5411
{610541, 610543 } are twin primes set # 5412
{610739, 610741 } are twin primes set # 5413
{610781, 610783 } are twin primes set # 5414
{610847, 610849 } are twin primes set # 5415
{610877, 610879 } are twin primes set # 5416
{610919, 610921 } are twin primes set # 5417
{611069, 611071 } are twin primes set # 5418
{611111, 611113 } are twin primes set # 5419
{611549, 611551 } are twin primes set # 5420
{611801, 611803 } are twin primes set # 5421
{611837, 611839 } are twin primes set # 5422
{611951, 611953 } are twin primes set # 5423

One of the problems in the above video was to prove that there are an infinite amount of these sets of twins.
« Last Edit: May 07, 2018, 04:28:08 pm by Non Serviam »
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