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Old 2021-06-02, 07:00   #1
sweety439
 
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"99(4^34019)99 palind"
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Default Might miss small sociable number

OEIS sequence https://oeis.org/A003416 may not be complete to 1799281330, also the site http://djm.cc/sociable.txt, since it is not even known whether 56440 is a member of sociable number, however, if so, the length of the cycle of 56440 must be >5000

Reference: http://factordb.com/sequences.php?se...20&fr=0&to=100

Note that the Aliquot sequence of 1578 merges with that of 56440

Last fiddled with by sweety439 on 2021-06-02 at 07:01
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Old 2021-06-02, 07:18   #2
LaurV
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I believe 276 is a "social distance" number.

That means it is a social number, but it will be a long distance till somebody will find out that the sequence 276 ends in 276.

(edit: or we can have a cycle that includes all Lehmer's Five, why not? hehe).

So, yeah, you are right, those OEIS sequences are not complete...

(Oh Dear Mighty God, he is back...)

Last fiddled with by LaurV on 2021-06-02 at 07:26
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Old 2021-06-02, 07:40   #3
sweety439
 
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Quote:
Originally Posted by LaurV View Post
I believe 276 is a "social distance" number.

That means it is a social number, but it will be a long distance till somebody will find out that the sequence 276 ends in 276.

(edit: or we can have a cycle that includes all Lehmer's Five, why not? hehe).

So, yeah, you are right, those OEIS sequences are not complete...

(Oh Dear Mighty God, he is back...)
276 is not possible in a sociable cycle, since it is an untouchable number (https://oeis.org/A005114)

Last fiddled with by sweety439 on 2021-06-02 at 07:42
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Old 2021-06-02, 07:59   #4
LaurV
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Doh, you got me there!

Last fiddled with by LaurV on 2021-06-02 at 07:59
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Old 2021-06-03, 17:20   #5
Stargate38
 
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Maybe a later term will be the cycle's start. We don't know if that'll happen yet, but the later terms aren't untouchable. Other sequences (i.e. 10000018198 and 31657014970784) merge with 276.

Last fiddled with by Stargate38 on 2021-06-03 at 17:21
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Old 2021-06-08, 16:14   #6
sweety439
 
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See related thread https://mersenneforum.org/showthread.php?t=22701

MODERATOR NOTE: Following five posts moved there

Last fiddled with by Dr Sardonicus on 2021-09-21 at 13:58
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Old 2021-09-21, 11:16   #7
Happy5214
 
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"Alexander"
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Whatever the prior research, the second half of this thread looks more like a blog thread than anything that should stay in the Aliquot forum. Perhaps these posts should be moved over to the "sweety's Musings" section.
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