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Ludic numbers: Difference between revisions
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2000th - 2005th Ludics: [21475, 21481, 21487, 21493, 21503, 21511]
Triplets up to 250: [[1, 3, 7], [5, 7, 11], [11, 13, 17], [23, 25, 29], [41, 43, 47], [173, 175, 179], [221, 223, 227], [233, 235, 239]]</pre>
=={{header|JavaScript}}==
===ES6===
<lang JavaScript>/**
* Boilerplate to simply get an array filled between 2 numbers
* @param {!number} s Start here (inclusive)
* @param {!number} e End here (inclusive)
*/
const makeArr = (s, e) => new Array(e + 1 - s).fill(s).map((e, i) => e + i);
/**
* Remove every n-th element from the given array
* @param {!Array} arr
* @param {!number} n
* @return {!Array}
*/
const filterAtInc = (arr, n) => arr.filter((e, i) => (i + 1) % n);
/**
* Generate ludic numbers
* @param {!Array} arr
* @param {!Array} result
* @return {!Array}
*/
const makeLudic = (arr, result) => {
const iter = arr.shift();
result.push(iter);
return arr.length ? makeLudic(filterAtInc(arr, iter), result) : result;
};
/**
* Our Ludic numbers. This is a bit of a cheat, as we already know beforehand
* up to where our seed array needs to go in order to exactly get to the
* 2005th Ludic number.
* @type {!Array<!number>}
*/
const ludicResult = makeLudic(makeArr(2, 21512), [1]);
// Below is just logging out the results.
/**
* Given a number, return a function that takes an array, and return the
* count of all elements smaller than the given
* @param {!number} n
* @return {!Function}
*/
const smallerThanN = n => arr => {
return arr.reduce((p,c) => {
return c <= n ? p + 1 : p
}, 0)
};
const smallerThan1K = smallerThanN(1000);
console.log('\nFirst 25 Ludic Numbers:');
console.log(ludicResult.filter((e, i) => i < 25).join(', '));
console.log('\nTotal Ludic numbers smaller than 1000:');
console.log(smallerThan1K(ludicResult));
console.log('\nThe 2000th to 2005th ludic numbers:');
console.log(ludicResult.filter((e, i) => i > 1998).join(', '));
console.log('\nTriplets smaller than 250:');
ludicResult.forEach(e => {
if (e + 6 < 250 && ludicResult.indexOf(e + 2) > 0 && ludicResult.indexOf(e + 6) > 0) {
console.log([e, e + 2, e + 6].join(', '));
}
});</lang>
<pre>
First 25 Ludic Numbers:
1, 2, 3, 5, 7, 11, 13, 17, 23, 25, 29, 37, 41, 43, 47, 53, 61, 67, 71, 77, 83, 89, 91, 97, 107
Total Ludic numbers smaller than 1000:
142
The 2000th to 2005th ludic numbers:
21475, 21481, 21487, 21493, 21503, 21511
Triplets smaller than 250:
1, 3, 7
5, 7, 11
11, 13, 17
23, 25, 29
41, 43, 47
173, 175, 179
221, 223, 227
233, 235, 239
</pre>
=={{header|Julia}}==
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