Brilliant numbers - Page 4

alpertron · 2006-04-28, 11:57

I received your post too late. I will upload the page with the new numbers tonight.

smh · 2006-04-28, 14:32

I also found a 116 digit brilliant number:

Code:

10^115+12741
 r1=1659340911132774307356923305106837591426034334709864681011 (pp58)
 r2=6026489151752033839345332361847936212205931651365703227431 (pp58)

There is one (1) number smaller than this one that hasn't been factored yet. It should finish in about an hour, but i probably won't be around to see the result tonight or tomorrow.

I'll let you know if that turns out to be a smaller brilliant.

Andi47 · 2006-04-28, 17:19

Quote:

Originally Posted by smh

I also found a 116 digit brilliant number:

Code:

10^115+12741
 r1=1659340911132774307356923305106837591426034334709864681011 (pp58)
 r2=6026489151752033839345332361847936212205931651365703227431 (pp58)

There is one (1) number smaller than this one that hasn't been factored yet. It should finish in about an hour, but i probably won't be around to see the result tonight or tomorrow.

I'll let you know if that turns out to be a smaller brilliant.

Both of Your pp58's are prime - certified by Primo.

Kosmaj · 2006-04-28, 20:07

I factored all other larger numbers and I now claim that 10^49-1328811 is the largest 4-brilliant number with 49 digits with four 13-digit factors as given in post #24 above.

smh · 2006-04-29, 07:35

Quote:

Originally Posted by smh

I'll let you know if that turns out to be a smaller brilliant.

The number isn't a brilliant, so 10^115+12741 is the smallest 116 digit brilliant.

Citrix · 2006-04-29, 18:01

You can track my progress here
http://www.mersenneforum.org/showthread.php?t=5796
If a number is found, I will post it here.

Anyone intrested in helping me out can help out via the ECM server once it is set up

Thanks.

Jens K Andersen · 2006-04-29, 20:18

I have sieved 10^n+/-k to 3*10^11 for k<500000 and n = 113, 115, ..., 149.
It's faster to sieve many n in the same run with a custom sieve.
The unfactored numbers with k<100000 are in

http://hjem.get2net.dk/jka/math/brilliant.zip

Found factors and larger k are offline and available by request.
I can also sieve smaller n for 3- and 4-brilliant numbers on request.
Sieving is a minor part of a brilliant search and I don't want credit at

http://www.alpertron.com.ar/BRILLIANT.HTM

This is practical to certify a file of prp's with Primo:

http://hjem.get2net.dk/jka/math/certif/primoin.zip

Kosmaj · 2006-05-01, 02:36

Jens
Thanks for sieving results! Until now I've been sieving using pfgw, to 10^8 only since 10^9 was too slow. I may have a "request" for 3- and/or 4-brilliant numbers later. I'm now searching for max 3- and 4-brilliant with 77 digits.

I hope Dario will re-emerge from the long BAires night to update the tables soon.

alpertron · 2006-05-01, 22:02

Sorry, I took a mini-vacation for three days so I have not updated the Web site until this moment.

I hope I didn't make errors in this new version.

smh · 2006-05-02, 20:42

Got one more:

2^223+6419
3443722962941417451162701646095029
3914360556477966928665560140349863

smh · 2006-05-03, 07:44

and:

2^225+18567
7279884166852143769871090041714663
7406696603747816998318564484978273

2006-04-28, 14:32	#35
smh "Sander" Oct 2002 52.345322,5.52471 29×41 Posts	I also found a 116 digit brilliant number: Code: 10^115+12741 r1=1659340911132774307356923305106837591426034334709864681011 (pp58) r2=6026489151752033839345332361847936212205931651365703227431 (pp58) There is one (1) number smaller than this one that hasn't been factored yet. It should finish in about an hour, but i probably won't be around to see the result tonight or tomorrow. I'll let you know if that turns out to be a smaller brilliant.

2006-04-29, 20:18	#40
Jens K Andersen Feb 2006 Denmark 2×5×23 Posts	Brilliant sieve to 300G I have sieved 10^n+/-k to 3*10^11 for k<500000 and n = 113, 115, ..., 149. It's faster to sieve many n in the same run with a custom sieve. The unfactored numbers with k<100000 are in http://hjem.get2net.dk/jka/math/brilliant.zip Found factors and larger k are offline and available by request. I can also sieve smaller n for 3- and 4-brilliant numbers on request. Sieving is a minor part of a brilliant search and I don't want credit at http://www.alpertron.com.ar/BRILLIANT.HTM This is practical to certify a file of prp's with Primo: http://hjem.get2net.dk/jka/math/certif/primoin.zip

2006-05-03, 07:44	#44
smh "Sander" Oct 2002 52.345322,5.52471 4A5₁₆ Posts	and: 2^225+18567 7279884166852143769871090041714663 7406696603747816998318564484978273 Last fiddled with by smh on 2006-05-03 at 07:44

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2006-04-28, 11:57	#34
alpertron Aug 2002 Buenos Aires, Argentina 2526₈ Posts	I received your post too late. I will upload the page with the new numbers tonight.

2006-04-28, 20:07	#37
Kosmaj Nov 2003 2·1,811 Posts	I factored all other larger numbers and I now claim that 10^49-1328811 is the largest 4-brilliant number with 49 digits with four 13-digit factors as given in post #24 above.

2006-04-29, 18:01	#39
Citrix Jun 2003 2·7·113 Posts	You can track my progress here http://www.mersenneforum.org/showthread.php?t=5796 If a number is found, I will post it here. Anyone intrested in helping me out can help out via the ECM server once it is set up Thanks.

2006-05-01, 02:36	#41
Kosmaj Nov 2003 2·1,811 Posts	Jens Thanks for sieving results! Until now I've been sieving using pfgw, to 10^8 only since 10^9 was too slow. I may have a "request" for 3- and/or 4-brilliant numbers later. I'm now searching for max 3- and 4-brilliant with 77 digits. I hope Dario will re-emerge from the long BAires night to update the tables soon.

2006-05-01, 22:02	#42
alpertron Aug 2002 Buenos Aires, Argentina 2526₈ Posts	Sorry, I took a mini-vacation for three days so I have not updated the Web site until this moment. I hope I didn't make errors in this new version.

2006-05-02, 20:42	#43
smh "Sander" Oct 2002 52.345322,5.52471 29×41 Posts	Got one more: 2^223+6419 3443722962941417451162701646095029 3914360556477966928665560140349863