Aliquot sequences that start on the integer powers n^i - Page 22

Happy5214 · 2020-03-10, 01:24

After a few downdriver runs and other sequences that all proved unfruitful, I've finished n=21 to i=40 (all cofactors ≥ c120). I will release those and take the same n up to i=50.

gd_barnes · 2020-03-11, 06:07

PFP seems to have lost interest in base 385 at a low search depth for > 4 months so I did some testing on many of the exponents.

All exponents with a driver or with a factor of 3 have been searched to >= 102 digits.

All exponents without a driver and without a factor of 3 have been searched to >= 105 digits.

385^40 terminated. :-)

385^26 is now at 120 digits.

To be consistent with most of the other bases that stop at the first exponent with a starting value >= 120 digits would it make sense to remove the exponents >= 48 ?

No reservation.

PFP also seems to have lost interest in base 1155. Would it make sense to remove his reservation on that one too? I might work on it at a later date but no reservation now.

gd_barnes · 2020-03-12, 11:01

I have trivially terminated 385^47, 1155^35, 1155^37, and 1155^39.

You might consider releasing the reservation of all exponents for base 1155 due to long inactivity.

Also would it make since for base 1155 to delete all exponents >= 40 to be consistent with most other bases?

No reservation.

garambois · 2020-03-13, 15:12

OK, page updated.
Thanks to all.

@Happy5214 : A lot of thanks. Done.

@gd_barnes : A lot of thanks. Done.
Base 385 : OK, I deleted exponent 50, but not exponents 47, 48 and 49, because calculations had been made for those exponents. Calculations of 385^49 (trivial end) not completed, do you want to do the calculations?
Base 1155 : OK, I deleted the exponents 42 to 50 because no calculation had been started for them. I didn't delete the lower exponents because calculations were made for them.

It really doesn't matter, on the contrary, if for some bases, the size of the starting numbers exceeds 120 digits... As long as someone's done the calculations, of course ! This is anyway the case for example for base 2 where I pushed well beyond 120 digits for the starting numbers.

My own calculations :
Base 10 complete and exponents 95 and 107 non trivial termination of calculations.
Base 11 almost complete.
Base 12 and 82589933 reserved for me.

VBCurtis · 2020-03-13, 15:34

I finally got my home desktop fixed, and am ready to do more work on this project.
I'll take the rest of base 13 up to 120 digits. Please mark 32,34,36 reserved for me; when I finish those I'll reserve 40-60.

VBCurtis · 2020-03-17, 17:18

13^26, 13^28, 13^32 are released at 130+ digits each.
Working on 13^34 and 13^36 now. Planning to work pairs of sequences for a while.

Uncwilly · 2020-03-17, 19:53

Quote:

Originally Posted by VBCurtis

I finally got my home desktop fixed, and am ready to do more work on this project.

I am assuming that your work situation is different than normal at the moment. Are you even in at work?

VBCurtis · 2020-03-17, 22:31

Courses at my university are online-only the rest of the school year. This week is finals- writing online finals has been a bit of a challenge, but they're written. Most University of CA campuses run on quarters rather than semesters, thus "finals" now for winter term.

The campus is physically closed- faculty are not even allowed to go in to their offices.

I hope they don't cut power to my office building, as I have 32 cores running projects there!

Next task, learning how to use remote-video-recording software so I can lecture from home.

gd_barnes · 2020-03-18, 03:12

385^49 trivially terminates.

All of base 1155 has been completed to >= 102 digits.

No reservation.

garambois · 2020-03-18, 12:05

OK, page updated.
A lot of thanks for your help !

PFPoitras · 2020-03-18, 23:04

Hey guys!

Just so we're all clear, I was running the integer powers on a computer at work that was being used as a heater more than as a computer. I have since moved to another company, and had planned to recover the data (among other things) before leaving, but my "two-weeks" period was cut short by a strict work-from-home directive from HQ, due to coronavirus.

Consider all my reserved sequences for this subproject to not be reserved anymore for the time being.

2020-03-11, 06:07	#233
gd_barnes May 2007 Kansas; USA 10395₁₀ Posts	PFP seems to have lost interest in base 385 at a low search depth for > 4 months so I did some testing on many of the exponents. All exponents with a driver or with a factor of 3 have been searched to >= 102 digits. All exponents without a driver and without a factor of 3 have been searched to >= 105 digits. 385^40 terminated. :-) 385^26 is now at 120 digits. To be consistent with most of the other bases that stop at the first exponent with a starting value >= 120 digits would it make sense to remove the exponents >= 48 ? No reservation. PFP also seems to have lost interest in base 1155. Would it make sense to remove his reservation on that one too? I might work on it at a later date but no reservation now. Last fiddled with by gd_barnes on 2020-03-11 at 06:45

2020-03-12, 11:01	#234
gd_barnes May 2007 Kansas; USA 24233₈ Posts	I have trivially terminated 385^47, 1155^35, 1155^37, and 1155^39. You might consider releasing the reservation of all exponents for base 1155 due to long inactivity. Also would it make since for base 1155 to delete all exponents >= 40 to be consistent with most other bases? No reservation. Last fiddled with by gd_barnes on 2020-03-12 at 11:02

2020-03-18, 03:12	#240
gd_barnes May 2007 Kansas; USA 289B₁₆ Posts	385^49 trivially terminates. All of base 1155 has been completed to >= 102 digits. No reservation. Last fiddled with by gd_barnes on 2020-03-18 at 03:14

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2020-03-10, 01:24	#232
Happy5214 "Alexander" Nov 2008 The Alamo City 2⁴·43 Posts	After a few downdriver runs and other sequences that all proved unfruitful, I've finished n=21 to i=40 (all cofactors ≥ c120). I will release those and take the same n up to i=50.

2020-03-13, 15:12	#235
garambois "Garambois Jean-Luc" Oct 2011 France 2⁷·5 Posts	OK, page updated. Thanks to all. @Happy5214 : A lot of thanks. Done. @gd_barnes : A lot of thanks. Done. Base 385 : OK, I deleted exponent 50, but not exponents 47, 48 and 49, because calculations had been made for those exponents. Calculations of 385^49 (trivial end) not completed, do you want to do the calculations? Base 1155 : OK, I deleted the exponents 42 to 50 because no calculation had been started for them. I didn't delete the lower exponents because calculations were made for them. It really doesn't matter, on the contrary, if for some bases, the size of the starting numbers exceeds 120 digits... As long as someone's done the calculations, of course ! This is anyway the case for example for base 2 where I pushed well beyond 120 digits for the starting numbers. My own calculations : Base 10 complete and exponents 95 and 107 non trivial termination of calculations. Base 11 almost complete. Base 12 and 82589933 reserved for me.

2020-03-13, 15:34	#236
VBCurtis "Curtis" Feb 2005 Riverside, CA 4,861 Posts	I finally got my home desktop fixed, and am ready to do more work on this project. I'll take the rest of base 13 up to 120 digits. Please mark 32,34,36 reserved for me; when I finish those I'll reserve 40-60.

2020-03-17, 17:18	#237
VBCurtis "Curtis" Feb 2005 Riverside, CA 4,861 Posts	13^26, 13^28, 13^32 are released at 130+ digits each. Working on 13^34 and 13^36 now. Planning to work pairs of sequences for a while.

2020-03-17, 22:31	#239
VBCurtis "Curtis" Feb 2005 Riverside, CA 4,861 Posts	Courses at my university are online-only the rest of the school year. This week is finals- writing online finals has been a bit of a challenge, but they're written. Most University of CA campuses run on quarters rather than semesters, thus "finals" now for winter term. The campus is physically closed- faculty are not even allowed to go in to their offices. I hope they don't cut power to my office building, as I have 32 cores running projects there! Next task, learning how to use remote-video-recording software so I can lecture from home.

2020-03-18, 12:05	#241
garambois "Garambois Jean-Luc" Oct 2011 France 1010000000₂ Posts	OK, page updated. A lot of thanks for your help !

2020-03-18, 23:04	#242
PFPoitras "Patrick Poitras" Oct 2019 110110₂ Posts	Hey guys! Just so we're all clear, I was running the integer powers on a computer at work that was being used as a heater more than as a computer. I have since moved to another company, and had planned to recover the data (among other things) before leaving, but my "two-weeks" period was cut short by a strict work-from-home directive from HQ, due to coronavirus. Consider all my reserved sequences for this subproject to not be reserved anymore for the time being.