Talk:Rare numbers: Difference between revisions

→‎21+ digit rare numbers: sorted results, removed dups
m (→‎21+ digit rare numbers: corrected numbering)
(→‎21+ digit rare numbers: sorted results, removed dups)
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There only seem to be 5 21 digit rare numbers, so I started looking at 22 digits. I found that each odd number of digits takes less time (about 80% of the time) of the previous even number of digits, but each even/odd pair (number of digits such as 16/17 vs 14/15) takes about 20 times a long as the previous pair, so the computation time increases dramatically for results above 19 digits. Here are a few found so far:
 
<pre style="height:50ex;overflow:scroll"> 90: 90th (2,788414,047924,868301,437133,576245,408383,872)042
91: 91st (2,788414,047924,848323,617311,776045,408383,872)042
92: 92nd (2,788414,047946,888523,617311,376023,408183,872)042
93: 93rd (2,788576,047494,668891,617793,596995,408836,872)752
94: 94th (2,939576,521494,557893,527971,542995,149836,392)752
95: 95th (2,576620,494937,893863,971931,995054,836483,752)162
96: 96th (2,576620,494955,891623,793931,995476,836283,752)162
97: 97th (2,939620,521955,359641,525393,562276,149283,392)162
98: 98th (2,939622,523935,577621,527573,340476,149481,392)162
99: 99th (2,939622,523935,779643,525751,320276,149481,392)162
100: 108th (2,622,937,641,933,274,481,162)
100th (2,939,501,759,705,522,349,392)
101: 109th (2,622,955,841,933,256,281,162)
101th (2,939,503,537,707,740,349,392)
102: 111th (2,622,957,843,751,254,281,162)
102th (2,939,503,375,709,360,349,392)
103: 103th (2,727,651,947,516,658,327,272)
104: 119th (2,747,736,918,335,953,517,072)
104th (2,414,924,323,311,045,383,042)
105: 2,788,047,668,617,596,408,872
105th (2,622,935,643,751,276,481,162)
106: 2,788,047,848,617,776,408,872
106th (2,414,924,301,133,245,383,042)
107: 2,788,047,868,437,576,408,872
107th (2,622,935,621,573,476,481,162)
108: 2,788,047,888,617,376,408,872
108th (2,622,937,641,933,274,481,162)
109: 100th (2,939,501,759,705,522,349,392)
109th (2,622,955,841,933,256,281,162)
110: 102th (2,939,503,375,709,360,349,392)
110th (2,414,946,523,311,023,183,042)
111: 101th (2,939,503,537,707,740,349,392)
111th (2,622,957,843,751,254,281,162)
112: 2,939,521,359,525,562,149,392
112th (6,344,828,989,519,887,483,525)
113: 2,939,521,557,527,542,149,392
115th (2,620,937,863,931,054,483,162)
114: 2,939,523,577,527,340,149,392
116th (2,620,955,641,393,276,283,162)
115: 2,939,523,779,525,320,149,392
117th (2,620,955,623,931,476,283,162)
116: 118th (2,959,503,377,707,360,349,192)
117: 112th (6,344,828,989,519,887,483,525)
119th (2,747,736,918,335,953,517,072)
118: 123rd (8,045,841,652,464,561,594,308)
120th (8,655,079,574,515,659,614,468)
119: 122nd (8,045,841,654,642,561,594,308)
121st (8,655,079,374,155,679,614,468)
120: 8,655,059,576,513,659,814,468
122nd (8,045,841,654,642,561,594,308)
121: 8,655,059,772,157,639,814,468
123rd (8,045,841,652,464,561,594,308)
122: 124th (8,655,059079,576374,513155,659679,814614,468)
123: 125th (8,655,059079,772574,157515,639659,814614,468)</pre>
 
(ProvisionallyThat numbered,took notabout in5 final3/4 numeric order) This is over 95%days of the search space. There may not be any more to gocomputation. Lots of 2,2 combinations there so far. Nearly half of all rare numbers under 21 digits start and end with 2. IThe guesstrend wecontinues willabove see20 ifdigits thatwith trendover continueshalf asstarting moreand solutionsending showwith up..2. --[[User:Enter your username|Enter your username]] ([[User talk:Enter your username|talk]]) 06:17, 2 December 2019 (UTC)
 
:Now that you've established that there are five 21 digit rare numbers, it might be worth mailing SSG (at guptass@rediffmail.com) to see if he'll add them to his list.