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 2022-05-02, 15:57 #1585 garambois     "Garambois Jean-Luc" Oct 2011 France 32×97 Posts Page updated. Many thanks to all for your help. Added bases : 85, 89, 119, 1058. Updated bases : All those announced in the other thread. On our page, all bases are listed exhaustively up to base 101 now. Also, all bases that are prime numbers are listed up to 103 now. Bases 119 and 1058 have not been claimed by anyone, so all their sequences are noted as having been computed by anonymous people ! Many bases have all their matched parity sequences in green ! What a colossal work accomplished lately !
 2022-05-02, 17:46 #1586 EdH     "Ed Hall" Dec 2009 Adirondack Mtns 22·1,151 Posts All good news! The new bases have even supplied a few more sequences for the other thread. I see you found another matched parity sequence (85^3) that takes off open-ended. I think we're up to five known, now. I think I will be adding in the mixed parity sequences for the double square bases that aren't all green to the other thread, since they should also terminate.
 2022-05-02, 20:07 #1587 Stargate38     "Daniel Jackson" May 2011 14285714285714285714 22·3·59 Posts Could you please put me as the one who did 1058? I terminated it up to i=43, and ran 1058^44 up to i6. I stopped at the C125, as I need to catch up on factoring other numbers on the DB that I had bookmarked from the past few years. Last fiddled with by Stargate38 on 2022-05-02 at 20:12
 2022-05-02, 22:30 #1588 Stargate38     "Daniel Jackson" May 2011 14285714285714285714 22×3×59 Posts Is it possible for an even sequence to hit a square over 100 digits, change parity, and hit another square around 20-40 digits after a few terms? I've been thinking about this for the past month, and I'm wondering if it's even possible, and if so, what the probability is.
2022-05-03, 08:17   #1589
garambois

"Garambois Jean-Luc"
Oct 2011
France

32·97 Posts

Quote:
 Originally Posted by Stargate38 Could you please put me as the one who did 1058? I terminated it up to i=43, and ran 1058^44 up to i6. I stopped at the C125, as I need to catch up on factoring other numbers on the DB that I had bookmarked from the past few years.
OK, I will change the attribution for base 1058 in the next update.
Thanks Stargate38.
Is the acronym "STA" appropriate for you to identify yourself as a contributor ?

Quote:
 Originally Posted by Stargate38 Is it possible for an even sequence to hit a square over 100 digits, change parity, and hit another square around 20-40 digits after a few terms? I've been thinking about this for the past month, and I'm wondering if it's even possible, and if so, what the probability is.
Have you found such a sequence that does what you describe ?
It would be quite exceptional in my opinion, because the probability of getting on a perfect square or a double of a perfect square and so to change parity is on the order of 1/sqrt(n).

2022-05-03, 12:33   #1590
garambois

"Garambois Jean-Luc"
Oct 2011
France

11011010012 Posts

Quote:
 Originally Posted by EdH All good news! The new bases have even supplied a few more sequences for the other thread.
Yes, a few more sequences.
I'm still thinking of initializing some bases that are prime numbers by next summer, also with the help of RichD or maybe even other volunteers.

Quote:
 Originally Posted by EdH I see you found another matched parity sequence (85^3) that takes off open-ended. I think we're up to five known, now.
Yes, we now have a small collection of such initially rare phenomena.
It is also becoming rarer to find new sequences that end in cycles : we have been lucky with bases 85 and 119.

Quote:
 Originally Posted by EdH I think I will be adding in the mixed parity sequences for the double square bases that aren't all green to the other thread, since they should also terminate.
This is a really good idea.
Maybe we should even add a few more bases that are doubles of squares !

2022-05-03, 13:55   #1591
EdH

"Ed Hall"
Dec 2009

10001111111002 Posts

Quote:
 Originally Posted by garambois . . . Maybe we should even add a few more bases that are doubles of squares !
That's how I discovered 1058 was initialized. I was looking at the next couple.

The work for the other thread is slowing quite a bit now. The list has really diminished. I only add a base to my overall list after you've added a table and then only sequences that aren't reserved are included in my lists.

 2022-05-03, 15:27 #1592 Stargate38     "Daniel Jackson" May 2011 14285714285714285714 2C416 Posts I would like to have my acronym be SG1, after the team of the same name from Stargate SG-1. As for parity-changing sequences, I haven't found such a sequence yet, but I've run thousands of Aliquot sequences with starting values >3*10^6 in an attempt to find one. Not all of them are on the DB, but I've been gradually adding them at a rate that won't flood it. Last fiddled with by Stargate38 on 2022-05-03 at 15:30
 2022-05-06, 18:50 #1593 RichD     Sep 2008 Kansas 2·7·257 Posts Base 131 is ready and can be added at the next update. Taking bases 139 & 149 for initialization next.
 2022-05-08, 01:56 #1594 RichD     Sep 2008 Kansas E0E16 Posts Base 139 can be added at the next update.
 2022-05-08, 17:45 #1595 garambois     "Garambois Jean-Luc" Oct 2011 France 15518 Posts Page updated. Many thanks to all for your help. Added bases : 131, 139, 1152, 1250. Updated bases : All the bases announced below. For the 1152 base, maybe I was supposed to assign exponents 26 to 36 to Edwin, right ? The calculations for these exponents had not yet been carried over to the fourth table in the first post of the other thread when I copied it. Code: 15^125: Prime - ALF 18^138: Prime - A 19^117: Prime - A 34^96: Prime - A 42^94: Prime - A 46^88: Prime - A 51^87: Prime - A 54^86: Prime - A 55^89: Prime - A 57^83: Prime - A 59^85: Prime - A 61^89: Prime - A 62^86: Prime - A 68^80: Prime - A 69^79: Prime - A 72^90: Prime - EDH 74^78: Prime - A 74^80: Prime - A 82^76: Prime - A 84^76: Prime - A 85^71: Prime - A 85^73: Prime - A 85^75: Prime - A 86^76: Prime - A 89^73: Prime - A 89^75: Prime - A 89^77: Prime - A 92^74: Prime - A 93^75: Prime - UNC 96^74: Prime - A 119^69: Prime - A 119^71: Prime - A 119^73: Prime - A 200^63: Prime - UNC 200^64: Prime - UNC 200^67: Prime - A 284^60: Prime - A 648^51: Prime - A 720^48: Prime - RCH 770^52: Prime - A 882^49: Prime - A 1058^44: Prime - A 1058^45: Prime - A 1058^46: Prime - A 1058^47: Prime - A 1058^49: Prime - A 1152^1: Prime - A 1152^2: Prime - A 1152^3: Prime - A 1152^4: Prime - A 1152^5: Prime - A 1152^6: Prime - A 1152^7: Prime - A 1152^8: Prime - A 1152^9: Prime - A 1152^10: Prime - A 1152^11: Prime - A 1152^12: Prime - A 1152^13: Prime - A 1152^14: Prime - A 1152^15: Prime - A 1152^16: Prime - A 1152^17: Prime - EDH 1152^18: Prime - EDH 1152^19: Prime - EDH 1152^20: Prime - EDH 1152^21: Prime - EDH 1152^22: Prime - EDH 1152^23: Prime - EDH 1152^24: Prime - EDH 1152^25: Prime - EDH 1250^1: Prime - A 1250^2: Prime - A 1250^3: Prime - A 1250^4: Prime - A 1250^5: Prime - A 1250^6: Prime - A 1250^7: Prime - A 1250^8: Prime - A 1250^9: Prime - A 1250^10: Prime - A 1250^11: Prime - A 1250^12: Prime - A 1250^13: Prime - A 1250^14: Prime - A 1250^15: Prime - A 1250^16: Prime - EDH 1250^17: Prime - EDH 1250^18: Prime - EDH 1250^19: Prime - EDH 1250^20: Prime - EDH 1250^21: Prime - EDH 1250^22: Prime - EDH 1250^23: Prime - EDH 1250^24: Prime - EDH 1250^25: Prime - EDH 1250^28: Prime - A 15472^38: Prime - A

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