Fast Breeding (guru management)

[fivemack]

I've queued L1397 for 15e; could I interest anyone in polynomial selection for the C171 cofactor of Fib(2145)? Probably deserves about a week on a GTX580-class GPU.

[RichD]

Originally Posted by wblipp

The C157 from P180+1 needs a polynomial.
Yoyo@home has completed ECM to 1/3 of the size.

I took A5 to 6M. The best I found is:

N: 4545206781176853029322722471760270567799958255181386536930920727048938332070369338953125329433305547240481534440829379440535658858929717305795353745937941621
# expecting poly E from 2.00e-12 to > 2.30e-12
R0: -1632567867063590182416876816843
R1: 2116530096533083
A0: -10090026927779638685868075194342979440
A1: 133499417153007062388650701966998
A2: 23850984876463818226503783
A3: -15516133197620197422
A4: -1280606808592
A5: 391920
# skew 4125117.07, size 3.057e-15, alpha -6.920, combined = 2.191e-12 rroots = 5

I'll do the C154 next.

Edit: I mean C155.

[RichD]

Originally Posted by wblipp

The C155 from P231+1 needs a polynomial.
Yoyo@home has completed ECM to 1/3 of the size.

I took A5 to 7M. The best I found is:

N: 53809318947498920119013718326354144850351745967141380111988316195832961905924522359115807833595439644724421989436720295091695896111925572414263785270873289
# expecting poly E from 2.62e-12 to > 3.01e-12
R0: -654468512970011394951354858038
R1: 247183871139257
A0: 4411040416796572883803200639857361345
A1: 5327747613116870926320102908838
A2: -1932001108416812421260637
A3: -3058518414122516104
A4: -257054184862
A5: 448140
# skew 1932973.18, size 4.593e-15, alpha -6.127, combined = 2.800e-12 rroots = 3

[RichD]

Originally Posted by fivemack

I've queued L1397 for 15e; could I interest anyone in polynomial selection for the C171 cofactor of Fib(2145)? Probably deserves about a week on a GTX580-class GPU.

The C171 is found here.

The default values for polynomial selection on my system are:

polynomial degree: 5
max stage 1 norm: 5.66e+25
max stage 2 norm: 1.79e+24
min E-value: 1.46e-13
poly select deadline: 1079999
time limit set to 300.00 CPU-hours
expecting poly E from 2.96e-13 to > 3.40e-13
searching leading coefficients from 1 to 109676063
using GPU 0 (GeForce GTX 560 Ti)
selected card has CUDA arch 2.1

What would be the GPU values for this size number?
I'm guessing,
stage1_norm=5e24 (or 4e24)
stage2_norm=8e23

[VBCurtis]

Originally Posted by RichD

The C171 is found here.

The default values for polynomial selection on my system are:

polynomial degree: 5
max stage 1 norm: 5.66e+25
max stage 2 norm: 1.79e+24
min E-value: 1.46e-13
poly select deadline: 1079999
time limit set to 300.00 CPU-hours
expecting poly E from 2.96e-13 to > 3.40e-13
searching leading coefficients from 1 to 109676063
using GPU 0 (GeForce GTX 560 Ti)
selected card has CUDA arch 2.1

What would be the GPU values for this size number?
I'm guessing,
stage1_norm=5e24 (or 4e24)
stage2_norm=8e23

I would use stage1 as you selected, and stage2 of 3e22 or 2.5e22. I try to generate about 100 hits/day from the -nps step.

[RichD]

Originally Posted by fivemack

could I interest anyone in polynomial selection for the C171 cofactor of Fib(2145)?

I'll start with A5 up to 5M to see how long it takes me.

[VBCurtis]

Originally Posted by VBCurtis

I would use stage1 as you selected, and stage2 of 3e22 or 2.5e22. I try to generate about 100 hits/day from the -nps step.

Whoops! I divided *your* stage2 value by 20-25, rather than the default. 1.8e24 / 25 is about 7e22. Mea culpa.

[RichD]

Oh, I meant to say 8e22.

Through 5M the following is found but I'm sure something better will show up.

# expecting poly E from 2.96e-13 to > 3.40e-13

# skew 30185283.23, size 1.056e-16, alpha -7.610, combined = 2.906e-13 rroots = 5

Continuing to 12M.

[R.D. Silverman]

Originally Posted by wblipp

Thanks. That's beyond the 14e range.

Is there some heuristic you used to determine that?

Compute the norms one gets with the proposed polynomial. (with its large coefficients)
Compute the norms of a C289 with (say) single digit coefficients.....

[RichD]

Through 12M. A baseline to beat.
Continuing to 20M.

N: 221137385761176470179068837936593557547190252556073792358496234923434000002326676515190691253261000857513488598830939165918628240988251126058808226547851029007517793628341
# expecting poly E from 2.96e-13 to > 3.40e-13
R0: -464565564075064507061751828783921
R1: 4978508000455657
A0: -10616567228036709201253613581731132563168
A1: 55979012506607208841809066584294460
A2: -13904632680941386837724795876
A3: -1400811474901373930373
A4: 174324589714306
A5: 10219440
# skew 8226944.08, size 1.108e-16, alpha -7.511, combined = 3.022e-13 rroots = 5

[RichD]

Nothing better through 20M.
Continuing to 30M.