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Old 2020-12-06, 16:08   #969
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2380158 terminates
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Old 2020-12-11, 12:52   #970
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2546760 terminates
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Old 2020-12-16, 13:34   #971
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2466132 merges with sequence 2390294
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Old 2021-03-03, 19:38   #972
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2583540 terminates
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Old 2021-03-05, 23:22   #973
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After a long delay of 8 months, a new marge under 1M is found by yafu@home:
377880:i3262 = 21768:i13
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Old 2021-03-11, 13:07   #974
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1755864:2300 merges with 1402954:0.
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Old 2021-03-18, 05:41   #975
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2175894 terminates.
My first termination in 2021.
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Old 2021-03-23, 14:31   #976
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I know the first couple posts have short lists of merges that were found, as do the subsequent posts, but is there an overall list of all the sequences that merge with earlier ones, such as <1M or <3M?

Something like:
Code:
 
Sequence 276: 
306:i1 merges with 276:i1 
396:i0 merges with 276:i1 
696:i0 merges with 276:i2 
1104:i0 merges with 276:i3 
1872:i0 merges with 276:i4 
1876:i3 merges with 276:i10 
 . . . 
311138:i11 merges with 276:i5 
312866:i5 merges with 276:i13 
314392:i8 merges with 276:i17 
316810:i11 merges with 276:i5 
317328:i23 merges with 276:i5 
319738:i6 merges with 276:i13 
. . . 
Sequence 564: 
780:i0 merges with 564:i1 
1314:i1 merges with 564:i2 
1572:i0 merges with 564:i2 
1842:i5 merges with 564:i4 
1854:i4 merges with 564:i4 
2124:i0 merges with 564:i3 
. . .
or, possibly:
Code:
 
Sequence 276 merges: 
306 
396 
696 
1104 
1872 
1876 
 . . . 
311138 
312866 
314392 
316810 
317328 
319738 
. . . 
Sequence 564 merges: 
780 
1314 
1572 
1842 
1854 
2124 
. . .
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Old 2021-03-23, 19:04   #977
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I might have something that is close to what you are looking for on my website here :

http://www.aliquotes.com/aliquote_base.htm#alibasefonda

You can download "regina_file.tar.lzma" (size: 258.3MB) and you have this result not for n<3M, but for n<14M.
But beware : all these calculations were only made up to 10^50.
There are therefore several mergers that were not taken into account compared to what you would have if you scanned FactorDB.

How to read this data ?

General form of each row of this database :
[n, a, b, c, d, e, f, g, h, i, j, k, l, m]
n: starting integer from the aliquot sequence.
a: relative integer which equals 1 if the sequence starting with n ends in 1, which equals 0 if the sequence is open-end, which is negative if the sequence falls on an aliquot chain of | a | links.
c: if a is equal to 1, c is the prime number on which the starting sequence n has terminated. If a is 0, c is the smallest starting integer of the open-end sequence joined by the starting sequence n.

Example with the following line :
[306, 0, 144, 276, 2, 1, 0, 136, 2, 0, 0, 1.512782551, 0.8047493404, 2.872578052]
This row of the table means for example that the sequence which starts with 306 is Open-end, because a = 0 and also that it merges with 276, because c = 276. (b, d, e, f, ... is of no interest to you).

Edwin, don't hesitate if I can help you and answer your questions ...
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Old 2021-03-23, 22:12   #978
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Quote:
Originally Posted by garambois View Post
I might have something that is close to what you are looking for on my website here :

http://www.aliquotes.com/aliquote_base.htm#alibasefonda
. . .
Edwin, don't hesitate if I can help you and answer your questions ...
Excellent! I think I can build exactly what I'm looking for from your file. Once I do and make sure it is updated, I will see if its form is of interest to you and others.

Thanks Jean-Luc!
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Old 2021-03-23, 22:48   #979
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I'm really glad I helped you !
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