Polynomial Request Thread - Page 61

fivemack · 2016-07-27, 08:39

I will do the polynomial selection for C181_135_109

(probably starting Friday night and running for about a GTX1080-week, given my vacation schedule)

fivemack · 2016-07-27, 16:02

With the polynomial in http://mersenneforum.org/showpost.ph...&postcount=654 C178_131_81 is already clearly a GNFS number. (14e GNFS yield 1.53 @ 0.358s/r, SNFS yield 1.109 @ 0.454s/r at Q0=2e8, 32-bit large primes, alim=rlim=2^28). Shall I enqueue it?

XYYXF · 2016-07-28, 09:21

Quote:

Originally Posted by fivemack

.Shall I enqueue it?

Yes, please :)

fivemack · 2016-07-28, 12:35

Done; I put it on 15e because that was substantially quicker per-relation, so it may not be sieved for a little while.

fivemack · 2016-07-28, 12:37

To avoid confusion: I am running polsel for both C181_135_109 and C182_136_109, should probably be ready to queue up both on nfs@home 15e about second week of August.

swellman · 2016-07-28, 14:38

It's survived ECM and RichD's poly seems quite good.

Quote:

Originally Posted by RichD

A pretty good poly.

Code:

N: 253923782873195068229165736139994427090239311608914177187545532802990584748709940431129524159464991564109650852327409643251559620190935723932882188866930100223448069670663289
#  expecting poly E from 1.93e-13 to > 2.22e-13
R0: -3346114526760514210502789053441897
R1: 8669849986032599
A0: -2110599585358541305297626746978143488373440
A1: 414319695217989485735170985892238168
A2: -11603860366526152200166666538
A3: -867507534237380509049
A4: 44596736818932
A5: 605340
# skew 26498334.39, size 6.122e-17, alpha -7.629, combined = 2.136e-13 rroots = 3

fivemack · 2016-07-28, 15:24

I was just trial-sieving it this afternoon and queued it on 15e two minutes ago.

It's a good polynomial:

Code:

total yield: 50042, q=150010001 (0.16308 sec/rel)

C174 is unambiguous 15e territory: with 14e

Code:

total yield: 22088, q=150010001 (0.19385 sec/rel)

Max0526 · 2016-07-28, 16:00

Quote:

Originally Posted by swellman

Max0526 - are you still running CADO on this composite? If so, what is the best poly found so far? This number was projected to be on the borderline of SNFS/GNFS as far as sieving speed and efficiency. After a week of CADO on a C178, I say we can now make a determination and then ask NFS@Home to sieve accordingly.

I stopped running poly selection on C178 (131^81+81^131 cofactor). It was the best poly.

swellman · 2016-07-28, 17:11

Fivemack and Max0526 -

My thanks to both of you!

swellman · 2016-07-28, 19:20

Quote:

Originally Posted by swellman

Fivemack and Max0526 -

My thanks to both of you!

And thanks to RichD for finding that poly.

swellman · 2016-08-02, 15:13

Quote:

Originally Posted by XYYXF

C181_133_103 survived 25k@260M:

Code:

1399232930944947837971160958615602184750296872180097681281865375183752760606207068247844873551109719112376814208220445478036067766050688136904201165376393266102493974820805550762173

Bump.

2016-07-28, 12:35	#664
fivemack (loop (#_fork)) Feb 2006 Cambridge, England 2³·11·73 Posts	Done; I put it on 15e because that was substantially quicker per-relation, so it may not be sieved for a little while. Last fiddled with by fivemack on 2016-07-28 at 12:36

2016-07-28, 15:24	#667
fivemack (loop (#_fork)) Feb 2006 Cambridge, England 2³·11·73 Posts	I was just trial-sieving it this afternoon and queued it on 15e two minutes ago. It's a good polynomial: Code: total yield: 50042, q=150010001 (0.16308 sec/rel) C174 is unambiguous 15e territory: with 14e Code: total yield: 22088, q=150010001 (0.19385 sec/rel)

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2016-07-27, 08:39	#661
fivemack (loop (#_fork)) Feb 2006 Cambridge, England 2³·11·73 Posts	I will do the polynomial selection for C181_135_109 (probably starting Friday night and running for about a GTX1080-week, given my vacation schedule)

2016-07-27, 16:02	#662
fivemack (loop (#_fork)) Feb 2006 Cambridge, England 1918₁₆ Posts	With the polynomial in http://mersenneforum.org/showpost.ph...&postcount=654 C178_131_81 is already clearly a GNFS number. (14e GNFS yield 1.53 @ 0.358s/r, SNFS yield 1.109 @ 0.454s/r at Q0=2e8, 32-bit large primes, alim=rlim=2^28). Shall I enqueue it?

2016-07-28, 12:37	#665
fivemack (loop (#_fork)) Feb 2006 Cambridge, England 2³·11·73 Posts	To avoid confusion: I am running polsel for both C181_135_109 and C182_136_109, should probably be ready to queue up both on nfs@home 15e about second week of August.

2016-07-28, 17:11	#669
swellman Jun 2012 11·281 Posts	Fivemack and Max0526 - My thanks to both of you!