by Jerzy » Mon Nov 10, 2008 4:54 am
Joe,
You have implemented Prime Numbers Count filter. I find it very useful. Could you please implement in the same way the filter, or filters, for other special numbers groups as well.
For example:
Abundant Numbers: 12, 18, 20 24, 30, 36, 40, 42, 48
Centered Octagonal Numbers: 01, 09, 25, 49
Centered Square Numbers: 01, 05, 13, 25, 41
Centered Triangular Numbers: 01, 04, 10, 19, 31, 46
Fibonacci Numbers: 01, 02, 03, 05, 08, 13, 21, 34
Happy Numbers: 01, 07, 10, 13, 19, 23, 28, 31, 32, 44, 49
Heptagonal Numbers: 01, 07, 18, 34
Hexagonal Numbers: 01, 06 15, 28, 45
Lucas Numbers: 01, 03, 04, 07, 11, 18, 29, 47
Lucky Numbers: 01, 03, 07, 09, 13, 15, 21, 25, 31, 33, 37, 43, 49
Octagonal Numbers: 01, 08, 21, 40
Octahedral Numbers: 01, 06, 19, 44
Palindromic Numbers: 01, 02, 03, 04, 05, 06, 07, 08, 09, 11, 22, 33, 44 (as a separate option, you can use palindromic numbers 11, 22, 33, 44 only, in addition to all palindromic numbers in the range of 49 number lotto).
Pentagonal Numbers: 01, 05, 12, 22, 35
Powerful Numbers: 01, 04, 08, 09, 16, 25, 27, 32, 36, 49
Primary Numbers: 02, 03, 05, 07, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 (they are special numbers, and I include them in my list even though the filter for them has been implemented).
Pronic Numbers: 02, 06, 12, 20, 30, 42
Squared Numbers: 01, 04 09, 16, 25, 36, 49
Tetrahedral Numbers: 01, 04, 10, 20, 35
Triangular Numbers: 01, 03, 06, 10, 15, 21, 28, 36, 45
Trimorphic Numbers: 01, 04, 05, 06, 09, 24, 25, 49
These number groups have distinct mathematical patterns. Most importantly, if there are only 4 or 5 of these special numbers in the group, all of them almost never appear at the same time in a six number randomly drawn lotto combination, and if there are more than 6 of them they almost never occupy all 6 positions in the combination.