Wallis' product exploration
02-08-2020, 08:13 PM
Post: #6
 Allen Member Posts: 227 Joined: Aug 2014
RE: Wallis' product exploration
maybe a more compact way of looking at the prime powers in the denominator:

here $$08002222022000022222222221 \rightarrow 2^{0} 3^{8} 5^{0} 7^{0} 11^{2} 13^{2} 17^{2} 19^{2} 23^{0} 29^{2} 31^{2} 37^{0} 41^{0} 43^{0} 47^{0} 53^{2} 59^{2} 61^{2} 67^{2} 71^{2} 73^{2} 79^{2} 83^{2} 89^{2} 97^{2} 101^{1}$$

The carats under each line indicate the prime factors of n... and a * next to n represents prime n.

Code:
    n   prime exponents in denominator from p=3..101]  50 08002222022000022222222221     ^ ^                         49 06401222022000022222222220        ^                        48 04440222022000022222222210     ^^                         *47 06340221022000022222222200                   ^             46 05240220021000222222222200     ^       ^                   45 04230120220000222222222200      ^^                         44 08420020220000222222222100     ^   ^                      *43 07422020210000222222222000                  ^              42 06322010200002222222222000     ^^ ^                       *41 08242000200002222222221000                 ^               40 04242000200022222222220000     ^ ^                         39 00442000200022222222210000      ^   ^                      38 02431200200022222222200000     ^      ^                   *37 01220202200022222222200000                ^                36 00020202200222222222100000     ^^                          35 04020202200222222221000000       ^^                        34 03240202100222222220000000     ^     ^                     33 02240222000222222210000000      ^  ^                       32 04142122000222222200000000     ^                          *31 02032022000222222200000000               ^                 30 00022022002222222100000000     ^^^                        *29 02222022002222221000000000              ^                  28 01222021022222220000000000     ^  ^                        27 00141020022222220000000000      ^                          26 06040020022222210000000000     ^    ^                      25 05040210022222200000000000       ^                        24 04420200022222200000000000     ^^                       *23 06400200022222100000000000             ^                 22 04300200222222000000000000     ^   ^                    21 02202200222221000000000000      ^ ^                     20 04222200222210000000000000     ^ ^                    *19 03422100222200000000000000            ^               18 02422002222100000000000000     ^^                   *17 06312002222000000000000000           ^              16 05201022222000000000000000     ^                   15 04200022221000000000000000      ^^                14 06400022210000000000000000     ^  ^             *13 03420022200000000000000000          ^           12 00220222200000000000000000     ^^              *11 02020222100000000000000000         ^           10 01012222000000000000000000     ^ ^            9 00202221000000000000000000      ^            8 04202210000000000000000000     ^            *7 03102200000000000000000000        ^        6 02022100000000000000000000     ^^         *5 04021000000000000000000000       ^        4 02220000000000000000000000     ^       *3 00210000000000000000000000      ^     *2 02100000000000000000000000     ^      1 01000000000000000000000000

17bii | 32s | 32sii | 41c | 41cv | 41cx | 42s | 48g | 48g+ | 48gx | 50g | 30b

 « Next Oldest | Next Newest »

 Messages In This Thread Wallis' product exploration - pinkman - 02-07-2020, 10:55 PM RE: Wallis' product exploration - Albert Chan - 02-08-2020, 02:13 AM RE: Wallis' product exploration - pinkman - 02-08-2020, 02:42 PM RE: Wallis' product exploration - Allen - 02-08-2020, 07:13 PM RE: Wallis' product exploration - Albert Chan - 02-08-2020, 07:53 PM RE: Wallis' product exploration - Allen - 02-08-2020, 08:58 PM RE: Wallis' product exploration - pinkman - 02-09-2020, 05:44 AM RE: Wallis' product exploration - Allen - 02-08-2020 08:13 PM RE: Wallis' product exploration - Allen - 02-09-2020, 01:08 PM RE: Wallis' product exploration - Allen - 02-09-2020, 01:57 PM RE: Wallis' product exploration - Allen - 02-09-2020, 03:08 PM RE: Wallis' product exploration - pinkman - 02-09-2020, 02:14 PM RE: Wallis' product exploration - Gerson W. Barbosa - 02-09-2020, 10:58 PM RE: Wallis' product exploration - Gerson W. Barbosa - 02-11-2020, 12:53 AM RE: Wallis' product exploration - EdS2 - 02-10-2020, 10:35 AM RE: Wallis' product exploration - pinkman - 02-11-2020, 10:02 AM RE: Wallis' product exploration - Gerson W. Barbosa - 02-11-2020, 04:11 PM RE: Wallis' product exploration - Gerson W. Barbosa - 02-11-2020, 10:48 PM RE: Wallis' product exploration - pinkman - 02-12-2020, 10:01 PM RE: Wallis' product exploration - Gerson W. Barbosa - 02-13-2020, 12:17 AM

User(s) browsing this thread: 1 Guest(s)