View source for Talk:Numbers with prime digits whose sum is 13

==Nice recursive solution==
Starting with a set N containing the set of prime digits 2,3,5,7:
# add each digit in the set of prime numbers to each digit in N (giving 22,23,..,75,77 first time) 
# add any numbers whose digit sum is 13 to the sequence;
# discard all numbers whose digit sum is greater than 11 from N;
# repeat until N is empty.
--[[User:Nigel Galloway|Nigel Galloway]] ([[User talk:Nigel Galloway|talk]]) 14:44, 21 October 2020 (UTC)
: Thanks, seems everyone likes that. You can also start with 0 and a simple queue is probably even simpler than recursion. --[[User:Petelomax|Pete Lomax]] ([[User talk:Petelomax|talk]])
:: In coder speak a recursive function is a function that can call itself. Mathematically an algorithm is recursive if the output from iteration n of the algorithm is the input to iteration n+1 of the algorithm. In code this can be realized with a loop or in some languages a recursive function, either way the algorithm is mathematically recursive.--[[User:Nigel Galloway|Nigel Galloway]] ([[User talk:Nigel Galloway|talk]]) 15:24, 23 January 2023 (UTC)

== output from &nbsp;'''Ring'''&nbsp; ends too soon ==

The reference implementation's output (Ring) currently ends at <code>7,222</code>. But there are more unlucky numbers. What about <code>222,223</code>? --[[User:Chunes|Chunes]] ([[User talk:Chunes|talk]]) 09:28, 29 September 2020 (UTC)
: "and sum of them is 13. " --[[User:Horst.h|Horst.h]]
:: ??? Is the sum of the digits of <code>222,223</code> not 13? --[[User:Thundergnat|Thundergnat]] ([[User talk:Thundergnat|talk]]) 10:12, 29 September 2020 (UTC)
::: Uups, an unmentioned limit in the program "limit = 10000" that doesn't make sense since 322,222 will be the highest number to  test.See also [[Permutations_with_some_identical_elements]].<BR>Maybe a new name for the draft before deletion ;-) --[[User:Horst.h|Horst.h]]

== These are NOT unlucky numbers ==
Unlucky number have a long established definition and this is not it. (See [[oeis:A050505|OEIS A050505]].) These are "Integers in base 10 whose digits are all prime and sum to 13". or perhaps "Unlucky digit sums" My question is: what is the significance of the digits being prime? What property makes these numbers "unlucky"? If it is the summing to 13 why wouldn't <strike>168</strike> 148 be "unlucky"? --[[User:Thundergnat|Thundergnat]] ([[User talk:Thundergnat|talk]]) 10:20, 29 September 2020 (UTC)

== Changes in code ==
I have changed the code and now is the largest Unlucky Number is 322,222 <br>
What do you suggest for new task name?

:I'd just call it 'Numbers with prime digits whose sum is 13'. --[[User:PureFox|PureFox]] ([[User talk:PureFox|talk]]) 11:02, 29 September 2020 (UTC)

== Change the task name ==
How can I change task name? <br>
If I could not then please change to: <br>
"Numbers with prime digits whose sum is 13"

== Thanks ==
Thanks for changing task name.

== task wording ==
Currently: &nbsp; &nbsp;     Find all the numbers whose digits are all primes and sum to 13.
 

How about:

change to: &nbsp;&nbsp;      Find all the decimal numbers whose digits are all primes and sum to '''13'''.
<br>or maybe: &nbsp; &nbsp;  Find all the numbers (base ten) whose digits are all primes and sum to '''13.'''

:::::::: -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]])