はじめに
- ここでは年月日を繋げて8桁の数値にしたとき、その数値が素数である日付の一覧を掲載する
- 例えば
20250101という数値が素数であるかどうかを判定する
- 例えば
- 間違いあればご指摘ください
概要
- 特に意味はありませんが、「今日はxxxですねと」いう会話をするときに利用できるかもしれない
- 弊社では朝礼のスピーチが順番に回ってくるのでその時に使えるかもしれない
前提
- 2001年から2100年の期間を対象とする
- 月日は0埋めし常に2桁ずつの数値とする
- 例:
20250101
- 例:
例
- yyyyMMddが素数となる日付の一覧は後述
- 例えば素数になる日付は以下
- 数値としては離れているが日付としては近い
| 年 | 月 | 日 | 備考 |
|---|---|---|---|
| 2024 | 12 | 29 | 2024年最後の素数になる日付け |
| 2025 | 01 | 01 | 2025年最初の素数になる日付け |
詳細
- ミラーラビン素数判定法で判定するが、念のためその後試し割り法で確認
- 両方の結果が一致しないものはエラーとする(今回の範囲では発生しなかった)
プログラム
- javaで実装
- 簡単なロジックは上述の通り
- 実際のコード(import等は割愛)は後述
- かなり見苦しい部分があります
- 素数判定のプログラムは以下2つ
| メソッド | 概要 | 備考 |
|---|---|---|
isPrime |
Miller-Rabin素数判定法の実装 | |
modPow |
x^k mod m を求める | 上記isPrimeで使う |
isPrimeTrialDivision |
試し割り法による素数判定 |
- 素数判定はBigDecimal版もあるが、今回はそこまで大きな数値ではないので割愛
- 試し割り法も与えられた自然数
pの2乗根+1程度まで調べれば十分だがそうなっていない。
private static int MAX_NUMBER=65535;
private static int TRIAL_COUNT=30;
private static String START_DATE="2001-01-01";
public static void main(String[] args) {
// range();
try {
date();
} catch (ParseException e) {
e.printStackTrace();
System.out.println("Exception occurs.\r\n"+e.getStackTrace());
}
}
private static void date() throws ParseException {
SimpleDateFormat dateFormat = new SimpleDateFormat("yyyy-MM-dd");
Date date = dateFormat.parse(START_DATE);
Calendar calendar = Calendar.getInstance();
calendar.setTime(date);
SimpleDateFormat getYearFormat = new SimpleDateFormat("yyyy");
SimpleDateFormat getMonthFormat = new SimpleDateFormat("MM");
SimpleDateFormat getDayFormat = new SimpleDateFormat("dd");
while(!getYearFormat.format(date).equals("2101")) {
String strNumber = String.format("%s%s%s",getYearFormat.format(date),getMonthFormat.format(date),getDayFormat.format(date) );
int number = Integer.parseInt(strNumber);
if(checkPrime(number)) {
//System.out.println(calendar.getTime());
date = calendar.getTime();
String output = String.format("|%s|%s|%s|",
getYearFormat.format(date),
getMonthFormat.format(date),
getDayFormat.format(date));
System.out.println(output);
}
calendar.add(Calendar.DAY_OF_YEAR, 1);
date = calendar.getTime();
}
}
private static void range() {
System.out.println("test");
for(int i=0; i<MAX_NUMBER; i++) {
checkPrime(i);
}
}
private static boolean checkPrime(int n) {
boolean primebyTrialDivision = isPrimeTrialDivision(n);
boolean primebyMillerRabin = isPrime(n,TRIAL_COUNT);
if(primebyTrialDivision!=primebyMillerRabin) {
System.out.println(String.format("error for judgement %d",n));
return false;
}
if(primebyTrialDivision) {
//System.out.println(String.format("%d is prime",n));
return true;
} else {
//System.out.println(String.format("%d is not prime",n));
return false;
}
}
public static boolean isPrime(int n,int k){
// 2は素数
if(n==2) {
return true;
}
// １は素数ではない
// 2以外の偶数は素数ではない
if(n==1 || n%2==0) {
return false;
}
// n-1を２のべき乗で輪って2^s*dの形式に変形
int d=n-1;
int s=0;
while (d%2 ==0) {
d = d/2;
s++;
}
// 判定サイクル(k回)
for(int i=0; i<k; i++) {
boolean isPP = false;
// 1からn-1の範囲より整数aをランダムに選ぶ
int a=(int)(Math.round((n-2)*Math.random())+1);
// a^d mod n が1もしくはn-1ならnはprobably prime
int r=modPow(a,d,n);
if(r==1||r==n-1) {
isPP = true;
}
// r^2 mod n が-1なら、nはprobably prime
for(int j=0; j<s; j++) {
r=modPow(r,2,n);
if(r==n-1) {
isPP=true;
}
}
// 上記のどちらにも当てはまらない場合、nはcomposite
if(!isPP) {
return false;
}
}
return true;
}
private static int modPow(long x,int k, int m) {
if(k==0) {
return 1;
}
if(k%2 ==0) {
return modPow(x*x%m, k/2,m);
} else {
return (int) (modPow(x,k-1,m)*x%m);
}
}
// 試し割り法
private static boolean isPrimeTrialDivision(int p) {
if(p<2) {
// 1は素数ではない。便宜上0以下もすべて素数ではないと判定。
return false;
}
if(p==2) {
// 2は唯一の偶数の素数
return true;
}
for(int i=2; i<p; i++) {
if(p%i==0 ) {
//System.out.println(String.format("%d is minimum divisor to %d.",i,p));
return false;
}
}
return true;
}
一覧
- 素数となる日付の一覧は以下
- 分布がどうなっているか図示できると面白いかもしれない
| 年 | 月 | 日 | 備考 |
|---|---|---|---|
| 2001 | 01 | 27 | |
| 2001 | 02 | 09 | |
| 2001 | 02 | 17 | |
| 2001 | 02 | 23 | |
| 2001 | 03 | 07 | |
| 2001 | 03 | 13 | |
| 2001 | 03 | 23 | |
| 2001 | 04 | 09 | |
| 2001 | 05 | 17 | |
| 2001 | 07 | 01 | |
| 2001 | 07 | 21 | |
| 2001 | 08 | 11 | |
| 2001 | 09 | 17 | |
| 2001 | 09 | 29 | |
| 2001 | 10 | 01 | |
| 2001 | 10 | 07 | |
| 2001 | 10 | 31 | |
| 2002 | 01 | 03 | |
| 2002 | 01 | 09 | |
| 2002 | 02 | 07 | |
| 2002 | 02 | 23 | |
| 2002 | 03 | 03 | |
| 2002 | 03 | 07 | |
| 2002 | 03 | 31 | |
| 2002 | 04 | 21 | |
| 2002 | 05 | 01 | |
| 2002 | 05 | 31 | |
| 2002 | 06 | 01 | |
| 2002 | 06 | 07 | |
| 2002 | 06 | 19 | |
| 2002 | 07 | 11 | |
| 2002 | 07 | 23 | |
| 2002 | 08 | 29 | |
| 2002 | 09 | 01 | |
| 2002 | 10 | 21 | |
| 2002 | 12 | 03 | |
| 2002 | 12 | 13 | |
| 2003 | 01 | 07 | |
| 2003 | 01 | 17 | |
| 2003 | 02 | 03 | |
| 2003 | 02 | 07 | |
| 2003 | 03 | 27 | |
| 2003 | 04 | 07 | |
| 2003 | 04 | 11 | |
| 2003 | 05 | 19 | |
| 2003 | 06 | 27 | |
| 2003 | 06 | 29 | |
| 2003 | 07 | 11 | |
| 2003 | 07 | 13 | |
| 2003 | 08 | 09 | |
| 2003 | 08 | 31 | |
| 2003 | 10 | 29 | |
| 2003 | 11 | 01 | |
| 2003 | 11 | 03 | |
| 2003 | 12 | 17 | |
| 2003 | 12 | 23 | |
| 2004 | 02 | 03 | |
| 2004 | 02 | 21 | |
| 2004 | 02 | 27 | |
| 2004 | 03 | 01 | |
| 2004 | 03 | 11 | |
| 2004 | 03 | 13 | |
| 2004 | 03 | 23 | |
| 2004 | 03 | 29 | |
| 2004 | 04 | 03 | |
| 2004 | 04 | 09 | |
| 2004 | 05 | 09 | |
| 2004 | 05 | 23 | |
| 2004 | 06 | 19 | |
| 2004 | 07 | 01 | |
| 2004 | 07 | 03 | |
| 2004 | 08 | 03 | |
| 2004 | 08 | 17 | |
| 2004 | 08 | 29 | |
| 2004 | 09 | 01 | |
| 2004 | 09 | 13 | |
| 2004 | 09 | 19 | |
| 2004 | 09 | 29 | |
| 2004 | 10 | 03 | |
| 2004 | 10 | 31 | |
| 2004 | 11 | 03 | |
| 2004 | 11 | 21 | |
| 2004 | 12 | 13 | |
| 2005 | 01 | 03 | |
| 2005 | 01 | 09 | |
| 2005 | 01 | 17 | |
| 2005 | 01 | 27 | |
| 2005 | 02 | 01 | |
| 2005 | 02 | 07 | |
| 2005 | 02 | 13 | |
| 2005 | 03 | 07 | |
| 2005 | 03 | 21 | |
| 2005 | 04 | 03 | |
| 2005 | 05 | 07 | |
| 2005 | 05 | 23 | |
| 2005 | 06 | 01 | |
| 2005 | 06 | 03 | |
| 2005 | 06 | 09 | |
| 2005 | 07 | 11 | |
| 2005 | 07 | 27 | |
| 2005 | 08 | 13 | |
| 2005 | 08 | 19 | |
| 2005 | 08 | 29 | |
| 2005 | 09 | 13 | |
| 2005 | 11 | 07 | |
| 2005 | 11 | 11 | |
| 2005 | 11 | 17 | |
| 2005 | 12 | 21 | |
| 2005 | 12 | 31 | |
| 2006 | 01 | 07 | |
| 2006 | 01 | 13 | |
| 2006 | 02 | 13 | |
| 2006 | 03 | 21 | |
| 2006 | 03 | 29 | |
| 2006 | 04 | 07 | |
| 2006 | 04 | 19 | |
| 2006 | 05 | 07 | |
| 2006 | 06 | 09 | |
| 2006 | 06 | 11 | |
| 2006 | 07 | 17 | |
| 2006 | 08 | 09 | |
| 2006 | 09 | 27 | |
| 2006 | 10 | 07 | |
| 2006 | 11 | 03 | |
| 2006 | 11 | 13 | |
| 2007 | 01 | 01 | |
| 2007 | 01 | 03 | |
| 2007 | 01 | 07 | |
| 2007 | 03 | 07 | |
| 2007 | 05 | 09 | |
| 2007 | 05 | 29 | |
| 2007 | 06 | 01 | |
| 2007 | 07 | 19 | |
| 2007 | 08 | 03 | |
| 2007 | 08 | 23 | |
| 2007 | 09 | 01 | |
| 2007 | 09 | 07 | |
| 2007 | 09 | 13 | |
| 2007 | 09 | 17 | |
| 2007 | 09 | 23 | |
| 2007 | 10 | 27 | |
| 2007 | 11 | 09 | |
| 2007 | 12 | 11 | |
| 2007 | 12 | 13 | |
| 2007 | 12 | 17 | |
| 2008 | 01 | 03 | |
| 2008 | 01 | 17 | |
| 2008 | 01 | 29 | |
| 2008 | 02 | 11 | |
| 2008 | 02 | 23 | |
| 2008 | 03 | 31 | |
| 2008 | 04 | 09 | |
| 2008 | 04 | 29 | |
| 2008 | 05 | 13 | |
| 2008 | 05 | 23 | |
| 2008 | 05 | 31 | |
| 2008 | 07 | 27 | |
| 2008 | 07 | 29 | |
| 2008 | 08 | 11 | |
| 2008 | 08 | 13 | |
| 2008 | 09 | 19 | |
| 2008 | 10 | 03 | |
| 2008 | 10 | 23 | |
| 2008 | 10 | 27 | |
| 2008 | 11 | 07 | |
| 2008 | 12 | 03 | |
| 2008 | 12 | 07 | |
| 2008 | 12 | 21 | |
| 2008 | 12 | 27 | |
| 2009 | 01 | 29 | |
| 2009 | 02 | 07 | |
| 2009 | 02 | 19 | |
| 2009 | 02 | 27 | |
| 2009 | 03 | 03 | |
| 2009 | 03 | 09 | |
| 2009 | 03 | 27 | |
| 2009 | 04 | 01 | |
| 2009 | 04 | 07 | |
| 2009 | 05 | 27 | |
| 2009 | 06 | 11 | |
| 2009 | 06 | 27 | |
| 2009 | 07 | 11 | |
| 2009 | 07 | 23 | |
| 2009 | 07 | 29 | |
| 2009 | 08 | 01 | |
| 2009 | 08 | 13 | |
| 2009 | 08 | 27 | |
| 2009 | 09 | 09 | |
| 2009 | 09 | 27 | |
| 2009 | 10 | 23 | |
| 2009 | 11 | 01 | |
| 2009 | 11 | 03 | |
| 2009 | 11 | 19 | |
| 2010 | 02 | 03 | |
| 2010 | 02 | 17 | |
| 2010 | 03 | 17 | |
| 2010 | 03 | 29 | |
| 2010 | 04 | 01 | |
| 2010 | 04 | 03 | |
| 2010 | 04 | 19 | |
| 2010 | 05 | 27 | |
| 2010 | 05 | 29 | |
| 2010 | 06 | 01 | |
| 2010 | 06 | 11 | |
| 2010 | 06 | 29 | |
| 2010 | 07 | 09 | |
| 2010 | 07 | 13 | |
| 2010 | 07 | 19 | |
| 2010 | 07 | 21 | |
| 2010 | 08 | 09 | |
| 2010 | 08 | 11 | |
| 2010 | 09 | 07 | |
| 2010 | 09 | 11 | |
| 2010 | 10 | 01 | |
| 2010 | 10 | 09 | |
| 2010 | 10 | 13 | |
| 2010 | 11 | 29 | |
| 2010 | 12 | 01 | |
| 2010 | 12 | 19 | |
| 2010 | 12 | 29 | |
| 2011 | 01 | 09 | |
| 2011 | 02 | 17 | |
| 2011 | 03 | 01 | |
| 2011 | 04 | 11 | |
| 2011 | 04 | 29 | |
| 2011 | 05 | 11 | |
| 2011 | 05 | 13 | |
| 2011 | 05 | 23 | |
| 2011 | 06 | 03 | |
| 2011 | 06 | 13 | |
| 2011 | 06 | 19 | |
| 2011 | 08 | 01 | |
| 2011 | 08 | 07 | |
| 2011 | 08 | 19 | |
| 2011 | 08 | 23 | |
| 2011 | 09 | 27 | |
| 2011 | 10 | 11 | |
| 2011 | 10 | 23 | |
| 2011 | 10 | 27 | |
| 2011 | 12 | 13 | |
| 2012 | 02 | 03 | |
| 2012 | 02 | 07 | |
| 2012 | 02 | 13 | |
| 2012 | 03 | 23 | |
| 2012 | 04 | 07 | |
| 2012 | 05 | 01 | |
| 2012 | 05 | 09 | |
| 2012 | 05 | 31 | |
| 2012 | 06 | 23 | |
| 2012 | 06 | 29 | |
| 2012 | 07 | 13 | |
| 2012 | 07 | 17 | |
| 2012 | 07 | 19 | |
| 2012 | 07 | 29 | |
| 2012 | 08 | 01 | |
| 2012 | 08 | 19 | |
| 2012 | 08 | 27 | |
| 2012 | 09 | 23 | |
| 2012 | 09 | 27 | |
| 2012 | 11 | 03 | |
| 2012 | 11 | 07 | |
| 2012 | 11 | 21 | |
| 2013 | 02 | 03 | |
| 2013 | 02 | 23 | |
| 2013 | 04 | 03 | |
| 2013 | 04 | 13 | |
| 2013 | 05 | 03 | |
| 2013 | 05 | 21 | |
| 2013 | 05 | 27 | |
| 2013 | 05 | 29 | |
| 2013 | 07 | 07 | |
| 2013 | 08 | 29 | |
| 2013 | 10 | 19 | |
| 2013 | 10 | 31 | |
| 2013 | 11 | 03 | |
| 2013 | 11 | 09 | |
| 2013 | 11 | 17 | |
| 2013 | 11 | 29 | |
| 2013 | 12 | 07 | |
| 2013 | 12 | 11 | |
| 2013 | 12 | 17 | |
| 2013 | 12 | 29 | |
| 2014 | 02 | 01 | |
| 2014 | 02 | 13 | |
| 2014 | 03 | 01 | |
| 2014 | 03 | 03 | |
| 2014 | 03 | 27 | |
| 2014 | 03 | 31 | |
| 2014 | 04 | 11 | |
| 2014 | 04 | 23 | |
| 2014 | 04 | 29 | |
| 2014 | 06 | 09 | |
| 2014 | 06 | 13 | |
| 2014 | 06 | 19 | |
| 2014 | 08 | 07 | |
| 2014 | 08 | 23 | |
| 2014 | 08 | 29 | |
| 2014 | 08 | 31 | |
| 2014 | 09 | 07 | |
| 2014 | 09 | 09 | |
| 2014 | 09 | 27 | |
| 2014 | 10 | 03 | |
| 2014 | 10 | 21 | |
| 2014 | 11 | 01 | |
| 2014 | 11 | 11 | |
| 2014 | 12 | 01 | |
| 2014 | 12 | 03 | |
| 2014 | 12 | 07 | |
| 2014 | 12 | 21 | |
| 2015 | 01 | 11 | |
| 2015 | 01 | 31 | |
| 2015 | 02 | 27 | |
| 2015 | 03 | 03 | |
| 2015 | 03 | 27 | |
| 2015 | 04 | 11 | |
| 2015 | 05 | 13 | |
| 2015 | 08 | 21 | |
| 2015 | 10 | 11 | |
| 2015 | 10 | 31 | |
| 2015 | 11 | 27 | |
| 2015 | 12 | 21 | |
| 2015 | 12 | 27 | |
| 2016 | 03 | 19 | |
| 2016 | 04 | 01 | |
| 2016 | 04 | 03 | |
| 2016 | 05 | 29 | |
| 2016 | 06 | 01 | |
| 2016 | 06 | 07 | |
| 2016 | 06 | 11 | |
| 2016 | 07 | 09 | |
| 2016 | 07 | 27 | |
| 2016 | 08 | 09 | |
| 2016 | 08 | 17 | |
| 2016 | 08 | 21 | |
| 2016 | 09 | 23 | |
| 2016 | 10 | 07 | |
| 2016 | 10 | 13 | |
| 2016 | 10 | 19 | |
| 2016 | 10 | 21 | |
| 2016 | 10 | 27 | |
| 2016 | 11 | 03 | |
| 2017 | 01 | 21 | |
| 2017 | 02 | 19 | |
| 2017 | 02 | 23 | |
| 2017 | 03 | 01 | |
| 2017 | 03 | 03 | |
| 2017 | 03 | 31 | |
| 2017 | 04 | 21 | |
| 2017 | 05 | 11 | |
| 2017 | 05 | 19 | |
| 2017 | 06 | 07 | |
| 2017 | 06 | 27 | |
| 2017 | 08 | 07 | |
| 2017 | 08 | 31 | |
| 2017 | 09 | 01 | |
| 2017 | 09 | 03 | |
| 2017 | 10 | 17 | |
| 2017 | 11 | 01 | |
| 2017 | 12 | 01 | |
| 2017 | 12 | 19 | |
| 2018 | 01 | 23 | |
| 2018 | 02 | 13 | |
| 2018 | 02 | 21 | |
| 2018 | 03 | 11 | |
| 2018 | 03 | 27 | |
| 2018 | 05 | 09 | |
| 2018 | 06 | 09 | |
| 2018 | 06 | 21 | |
| 2018 | 06 | 27 | |
| 2018 | 07 | 07 | |
| 2018 | 07 | 31 | |
| 2018 | 08 | 01 | |
| 2018 | 08 | 07 | |
| 2018 | 10 | 19 | |
| 2018 | 11 | 21 | |
| 2018 | 12 | 09 | |
| 2018 | 12 | 23 | |
| 2018 | 12 | 29 | |
| 2019 | 02 | 21 | |
| 2019 | 02 | 27 | |
| 2019 | 03 | 01 | |
| 2019 | 03 | 19 | |
| 2019 | 03 | 23 | |
| 2019 | 04 | 21 | |
| 2019 | 05 | 23 | |
| 2019 | 05 | 29 | |
| 2019 | 06 | 01 | |
| 2019 | 06 | 13 | |
| 2019 | 07 | 19 | |
| 2019 | 08 | 11 | |
| 2019 | 08 | 23 | |
| 2019 | 09 | 13 | |
| 2019 | 10 | 09 | |
| 2019 | 10 | 27 | |
| 2019 | 11 | 09 | |
| 2019 | 11 | 17 | |
| 2019 | 12 | 31 | |
| 2020 | 01 | 09 | |
| 2020 | 01 | 11 | |
| 2020 | 01 | 21 | |
| 2020 | 01 | 23 | |
| 2020 | 02 | 23 | |
| 2020 | 03 | 09 | |
| 2020 | 04 | 29 | |
| 2020 | 05 | 11 | |
| 2020 | 05 | 29 | |
| 2020 | 06 | 13 | |
| 2020 | 06 | 19 | |
| 2020 | 07 | 03 | |
| 2020 | 07 | 11 | |
| 2020 | 07 | 21 | |
| 2020 | 07 | 23 | |
| 2020 | 07 | 29 | |
| 2020 | 08 | 01 | |
| 2020 | 08 | 13 | |
| 2020 | 09 | 03 | |
| 2020 | 10 | 21 | |
| 2020 | 10 | 29 | |
| 2020 | 11 | 01 | |
| 2020 | 11 | 13 | |
| 2020 | 12 | 27 | |
| 2020 | 12 | 31 | |
| 2021 | 01 | 01 | |
| 2021 | 01 | 07 | |
| 2021 | 01 | 31 | |
| 2021 | 03 | 17 | |
| 2021 | 04 | 01 | |
| 2021 | 05 | 03 | |
| 2021 | 05 | 13 | |
| 2021 | 06 | 09 | |
| 2021 | 07 | 17 | |
| 2021 | 08 | 03 | |
| 2021 | 08 | 31 | |
| 2021 | 09 | 23 | |
| 2021 | 09 | 29 | |
| 2021 | 10 | 01 | |
| 2021 | 10 | 07 | |
| 2021 | 10 | 31 | |
| 2021 | 11 | 09 | |
| 2021 | 11 | 27 | |
| 2021 | 12 | 03 | |
| 2021 | 12 | 09 | |
| 2021 | 12 | 21 | |
| 2022 | 01 | 03 | |
| 2022 | 01 | 19 | |
| 2022 | 01 | 21 | |
| 2022 | 01 | 27 | |
| 2022 | 02 | 17 | |
| 2022 | 03 | 07 | |
| 2022 | 03 | 11 | |
| 2022 | 03 | 23 | |
| 2022 | 03 | 31 | |
| 2022 | 04 | 07 | |
| 2022 | 05 | 17 | |
| 2022 | 06 | 01 | |
| 2022 | 06 | 19 | |
| 2022 | 07 | 13 | |
| 2022 | 08 | 17 | |
| 2022 | 08 | 21 | |
| 2022 | 09 | 01 | |
| 2022 | 09 | 23 | |
| 2022 | 10 | 09 | |
| 2022 | 10 | 27 | |
| 2022 | 11 | 27 | |
| 2022 | 12 | 13 | |
| 2022 | 12 | 31 | |
| 2023 | 01 | 03 | |
| 2023 | 01 | 09 | |
| 2023 | 01 | 21 | |
| 2023 | 02 | 01 | |
| 2023 | 02 | 19 | |
| 2023 | 03 | 03 | |
| 2023 | 04 | 11 | |
| 2023 | 05 | 17 | |
| 2023 | 05 | 19 | |
| 2023 | 06 | 19 | |
| 2023 | 06 | 21 | |
| 2023 | 08 | 31 | |
| 2023 | 09 | 19 | |
| 2023 | 10 | 11 | |
| 2023 | 10 | 17 | |
| 2023 | 10 | 23 | |
| 2023 | 11 | 29 | |
| 2023 | 12 | 03 | |
| 2024 | 01 | 07 | |
| 2024 | 02 | 19 | |
| 2024 | 03 | 23 | |
| 2024 | 03 | 27 | |
| 2024 | 04 | 11 | |
| 2024 | 04 | 19 | |
| 2024 | 05 | 31 | |
| 2024 | 06 | 03 | |
| 2024 | 06 | 11 | |
| 2024 | 07 | 23 | |
| 2024 | 07 | 29 | |
| 2024 | 08 | 07 | |
| 2024 | 08 | 19 | |
| 2024 | 08 | 21 | |
| 2024 | 09 | 03 | |
| 2024 | 10 | 17 | |
| 2024 | 10 | 29 | |
| 2024 | 11 | 19 | |
| 2024 | 11 | 21 | |
| 2024 | 12 | 11 | |
| 2024 | 12 | 29 | |
| 2025 | 01 | 01 | |
| 2025 | 01 | 21 | |
| 2025 | 02 | 03 | |
| 2025 | 02 | 27 | |
| 2025 | 03 | 17 | |
| 2025 | 04 | 01 | |
| 2025 | 04 | 13 | |
| 2025 | 04 | 21 | |
| 2025 | 05 | 09 | |
| 2025 | 07 | 01 | |
| 2025 | 07 | 07 | |
| 2025 | 08 | 09 | |
| 2025 | 08 | 21 | |
| 2025 | 09 | 07 | |
| 2025 | 10 | 13 | |
| 2025 | 10 | 27 | |
| 2025 | 11 | 03 | |
| 2025 | 11 | 23 | |
| 2025 | 11 | 29 | |
| 2025 | 12 | 11 | |
| 2025 | 12 | 23 | |
| 2025 | 12 | 29 | |
| 2026 | 01 | 17 | |
| 2026 | 02 | 11 | |
| 2026 | 03 | 01 | |
| 2026 | 03 | 19 | |
| 2026 | 05 | 11 | |
| 2026 | 05 | 23 | |
| 2026 | 05 | 29 | |
| 2026 | 06 | 09 | |
| 2026 | 06 | 21 | |
| 2026 | 06 | 27 | |
| 2026 | 07 | 03 | |
| 2026 | 07 | 29 | |
| 2026 | 08 | 13 | |
| 2026 | 08 | 29 | |
| 2026 | 09 | 09 | |
| 2026 | 09 | 13 | |
| 2026 | 09 | 21 | |
| 2026 | 10 | 09 | |
| 2026 | 10 | 23 | |
| 2026 | 11 | 07 | |
| 2026 | 11 | 13 | |
| 2026 | 11 | 19 | |
| 2026 | 11 | 23 | |
| 2026 | 12 | 31 | |
| 2027 | 01 | 19 | |
| 2027 | 01 | 23 | |
| 2027 | 02 | 03 | |
| 2027 | 03 | 03 | |
| 2027 | 03 | 23 | |
| 2027 | 04 | 17 | |
| 2027 | 05 | 13 | |
| 2027 | 05 | 27 | |
| 2027 | 06 | 17 | |
| 2027 | 06 | 29 | |
| 2027 | 07 | 07 | |
| 2027 | 07 | 17 | |
| 2027 | 08 | 21 | |
| 2027 | 08 | 27 | |
| 2027 | 09 | 09 | |
| 2027 | 09 | 11 | |
| 2027 | 11 | 01 | |
| 2027 | 11 | 07 | |
| 2027 | 11 | 09 | |
| 2028 | 01 | 01 | |
| 2028 | 01 | 03 | |
| 2028 | 01 | 09 | |
| 2028 | 01 | 19 | |
| 2028 | 02 | 17 | |
| 2028 | 02 | 29 | |
| 2028 | 03 | 01 | |
| 2028 | 03 | 07 | |
| 2028 | 03 | 11 | |
| 2028 | 04 | 01 | |
| 2028 | 04 | 13 | |
| 2028 | 04 | 19 | |
| 2028 | 05 | 09 | |
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| 2100 | 11 | 17 | |
| 2100 | 11 | 21 |