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2010-04-13, 19:40   #4
EdH

"Ed Hall"
Dec 2009

33·53 Posts

kar_bon,

Thank you for the link. Am I correct that this is only those members of the 4788 "family" that coincide with a c9 or c30? Did I miss something somewhere on the site that would show the entire 4788 family? From my quick search of the db, using the c9/c30 data and the subsequent numbers (as well as others I was aware of), I have turned up over twenty additional numbers that merge (eventually) with 4788. My list currently includes:

Code:
6102
8092
10912
21818
33552
35386
42800
61762
63974
70568
80632
95952
122074
137280
144592
212712
244384
245050
225626
274846
275576
314718
398138
416304
428960
509562
533700
614570
633096
765264
870968
939968
977802
Quote:
 Originally Posted by Mini-Geek I'm not sure if a sequence with lots of merges carries any more interest to terminate. Obviously, the answer to that question depends on whether you consider a sequence ending in a prime fundamentally different from one ending in a merge.
I suppose I do, since it is not terminated if the base number isn't.

Quote:
 Originally Posted by Mini-Geek Yes, but of course this is only due to its "branches" meaning that there are more past values to collide with...
This was my thought, but wondered if there was more to it, or whether the odds were affected in any great amount, obviously realizing they would be better at lower sizes.

I could easily write a script that could query the db for all the numbers that merge into 4788, but ~.5M hits would just add to the delay in working through other tasks. Maybe some time I'll try a few at a go and see what I come up with.

I do find it interesting that so many numbers' sequence's fate can rest on a single base...

Thanks,
Ed