//PRIME TEST (find 1st and 5th columns)
//EXCEL =OR(MOD(C3,6)=1, MOD(C3,6)=5)
public static IEnumerable <int> Prime5s()
{
var nums = ListExtension.NumberList(1, 100);
var myPrime5s = nums.Where(x => x % 5 == 0);
return(myPrime5s);
}
//PRIME TEST (5x exceptions)
public static IEnumerable <int> PrimeExceptions5s()
{
var nums = ListExtension.NumberList(1, 100);
var myPrimeExceptions = nums.Where(x => x % 5 == 0 && (x % 6 == 1 || x % 6 == 5));
return(myPrimeExceptions);
}
//PRIME FUNCTIONS (real primes)
public static IEnumerable <int> PrimeReal(int rangeTo)
{
//list of numbers (1 to 100)
var nums = ListExtension.NumberList(1, rangeTo); //need to start at 1(if higher may miss some primes)
//prime exceptions
var primeExceptions = PrimeException(rangeTo);
//var primeExceptions = PrimeException2(rangeTo);
//prime rows only
var primeRows = nums.PrimeFilterRows();
//get real primes (remove all prime exceptions from prime rows)
var primeReal = primeRows.Except(primeExceptions);
//remove (1 from beginning)
primeReal = primeReal.ToList().PrimeSkipFirstElement();
//add (2 and 3) to beginning of list
List <int> finalPrimes = new List <int>();
finalPrimes.Add(2);
finalPrimes.Add(3);
finalPrimes.AddRange(primeReal); //add rest of prime list
return(finalPrimes);
}
//PRIME FUNCTIONS (exception list)
public static IEnumerable <int> PrimeException(int rangeTo)
{
//list of numbers (1 to 100)
var nums = ListExtension.NumberList(1, rangeTo); //need to start at 1(if higher may miss some primes)
//create a separate (mod list) to test for (each multiple) to use as exceptions
var modList = nums
.PrimeFilterRows().ToList()
.PrimeSkipFirstElement().ToList();
var newList = new List <int>(); //new list for prime exceptions
var testMod = new List <int>();
//iterate through all mod's
foreach (var mod in modList)
{
testMod = nums
.PrimeFilterRows().ToList()
.PrimeFilterMod(mod).ToList()
.PrimeSkipFirstElement().ToList();
//add each (mod set of numbers) to new list
newList.AddRange(testMod);
}
//create a new list of prime exceptions
newList = newList
.Distinct() //no repeats
.OrderBy(x => x).ToList(); //sort ascending
return(newList);
}
//PRIME TEST (1st and 5th rows)
public static IEnumerable <int> PrimeRowException()
{
//get a list of natural numbers... (1, 2, 3, 4, 5, etc)
var nums = ListExtension.NumberList(1, 100);
var myPrime5s = nums.Where(x => x % 5 == 0); //all numbers divisible by 5
var myPrimeRows = nums.Where(x => x % 6 == 1 || x % 6 == 5); //all numbers 1st and 5th column
return(myPrimeRows);
}
//PRIME FUNCTIONS (exception list)
//?????? (not correct...)
public static IEnumerable <int> PrimeException2(int rangeTo)
{
//???
//if limit is (100)
//sqrt(100) = 10
//the highest square root is 7(because 11 is higher than 10)
//which means I only need to test(5's, 7's until it goes higher than 100)
//list of numbers (1 to 100)
//var nums = ListExtension.NumberList(1, rangeTo); //need to start at 1(if higher may miss some primes)
var modRange = (int)rangeTo.SquareRoot(); //limits by square root (eliminates many iterations)
var modList = Enumerable
.Range(1, modRange).ToList() //use (modRange)(sqrt 100 would be 10)(10 is limit)
.PrimeFilterRows().ToList()
.Skip(1).ToList();
var modListMax = modList.Max();
//var primeRows = Enumerable
// .Range(6, modRange);
var primeRows = ListExtension.ListByIncrement(0, rangeTo, 6).Skip(1).ToList();
var lst = ListExtension.ListIncrementPlusMinus(primeRows, 1);
var lst2 = lst;
var lst3 = ListExtension.ListTriangular(modList);
var newList = new List <int>();
for (int i = 0; i < modList.Count; i++)
{
for (int j = 0; j < modList.Count; j++)
{
newList.Add(i * j);
}
}
//foreach (var p in modList)
//{
// foreach (var q in modList)
// {
// newList.Add(p * q);
// }
//}
return(newList);
//lst.Where(x => x ==)
//var list1 = ListExtension.ListIncrement(primeRows.ToList(), 1); //6a + 1
//var list2 = ListExtension.ListIncrement(primeRows.ToList(), -1); //6a - 1
//var list3 = list1.Union(list2).OrderBy(x => x); //combine lists
//new to find all multiples of (modList * modList)(that are less than 200(rangeTo))
//create a separate (mod list) to test for (each multiple) to use as exceptions
//var modList = Enumerable
// .Range(1, rangeTo).ToList()
// .TakeWhile(y => y.Power(2) <= rangeTo) //test for power
// //.TakeWhile(x => x % 6 == 1 || x % 6 == 5) //(and only 1 and 5 columns)
// .Where(x => x % 6 == 1 || x % 6 == 5).ToList()
// .Skip(1).ToList(); //removes (the number 1 from list)
//.Where(y => y.Power(2) > rangeTo) //square root mod is less than...(should be faster than testing all)
//var newList = new List<int>(); //new list for prime exceptions
//var testMod = new List<int>();
////iterate through all mod's
////foreach (var mod in modList)
//foreach (var mod in modList)
//{
// while (mod < modList.Max())
// {
// testMod = lst
// .PrimeFilterMod(mod).ToList();
// //add each (mod set of numbers) to new list
// newList.AddRange(testMod);
// }
//}
////create a new list of prime exceptions
//newList = newList
// .Distinct() //no repeats
// .OrderBy(x => x).ToList(); //sort ascending
//return newList;
}
//PRIME TEST (all exceptions)
public static IEnumerable <int> PrimeAllExceptionsTESTING()
{
//list of numbers (1 to 100)
var nums = ListExtension.NumberList(1, 1000);
var myPrimeRows = nums.Where(x => x % 6 == 1 || x % 6 == 5);
var list = myPrimeRows.ToList(); //need to set to list
List <int> exceptions = new List <int>();
var test1 = nums
.Where(x => x % 6 == 1 || x % 6 == 5) //filter out the 1st and 5th row first
.Where(y =>
y % 5 == 0 || //filter out 5x...
y % 7 == 0
)
.Skip(1); //remove first element (5, 7, etc.)
//------
var modList = nums
.PrimeFilterRows().ToList()
.PrimeSkipFirstElement().ToList();
var newList = new List <int>();
var test5 = new List <int>();
foreach (var mod in modList)
{
test5 = nums
.PrimeFilterRows().ToList()
.PrimeFilterMod(mod).ToList()
.PrimeSkipFirstElement().ToList();
newList.AddRange(test5);
}
//newList = newList
// .Distinct().ToList();
newList = newList
.Distinct() //no repeats
.OrderBy(x => x).ToList(); //sort ascending
//------
var test4 = nums
.PrimeFilterRows().ToList()
.PrimeSkipFirstElement();
var test3 = nums
.PrimeFilterRows().ToList()
.PrimeFilterMod(7).ToList()
.PrimeSkipFirstElement().ToList();
var test2 = nums.PrimeFilter(5);
//.Where(x => x % 6 == 1 || x % 6 == 5) //filter out the 1st and 5th row first
//.Where(y => y % 5 == 0) //filter out 5x...
//.Skip(1); //remove first element (5, 7, etc.)
var myPrimeExceptions = myPrimeRows.Where(x =>
(x % 6 == 1 || x % 6 == 5) &&
//???remove first element from list...(5,7,11,13,17,19...)
//???add parameter for higher options
//???filter (from range, 5 * 19 = 95, therefore, 5 * (a number) that is higher than limit (100)
//??? means that (don't need to test higher than MOD-19)(for a limit of 100)
(
(x % 5 == 0) ||
(x % 7 == 0) ||
(x % 11 == 0) ||
(x % 13 == 0) ||
(x % 17 == 0) ||
(x % 19 == 0)
)
);
//foreach (var mod in list)
//{
// var myPrimeExceptions = nums.Where(x =>
// (x % 6 == 1 || x % 6 == 5) &&
// (x % mod == 0)
// );
// exceptions.AddRange(myPrimeExceptions); //add to list
//}
return(newList);
//return myPrimeExceptions.Distinct();
//return exceptions.Distinct(); //exceptions.OrderBy(x => x).ToList();
}
