I will go on; I just wanted to close this old "bracket".

in the table, maybe you could split it as they were: in 6T-140T (and mark it done) and 140T-281T.

n=190-199, k=40e12 to 180e12 is complete.

n=180-189, k=40e12 to 200e12 is complete.

n=170-179, k=140.737e12 to 281.474e12 is complete.

n=170-171 were also run all up to 350T (before 0.28 was written). It was an overkill.

Generally, I recommend reserving the ranges with the least value of the cost function k ∙ n[SUP]3[/SUP] ∙ ln n, go up to 1.1x average value of the cost function, then pick the next least value and repeat. Of course, the new GPU range 173<=n<=205 had that property.

I have also run a non-standard "triagular slope" sector.
n=206 up to its current mmff-0.28 limit of 70T,
n=205 up to its current mmff-0.28 limit of 141T, and
n=200-204 to 180T. All of them from 36T, above current waterline.
This is not easily coerced into Luigi's [URL="http://www.fermatsearch.org/stat/n.php"]step-10-by-n table[/URL], so I am putting this data here for information only. (Luigu, you can forward this to Oleg Naryshkin who is working in the 200-249 range.)

MM31
 

[CODE]no factor for MM31 in k range: 60P to 62P (88-bit factors) [mmff 0.26 mfaktc_barrett89_M31gs][/CODE]

By GMP-Fermat (i.e. only Fermat-factoring):
no factors for n=800÷899 and k=32e9÷50e9.
no factors for n=900÷999 and k=26e9÷36e9.

By GMP-Fermat:
no factors for n=2000÷2099 and k=2e9÷2.9e9.
no factors for n=2100÷2199 and k=1.5e9÷2.5e9.
no factors for n=2200÷2299 and k=1.5e9÷2.3e9.

MM31
 

[CODE]no factor for MM31 in k range: 62P to 64P (88-bit factors) [mmff 0.26 mfaktc_barrett89_M31gs][/CODE]

n=83-90: done
 

[CODE]no factor for k*2^83+1 in k range: 1400T to 1450T (134-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^83+1 in k range: 1450T to 1500T (134-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^83+1 in k range: 1500T to 1550T (134-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^83+1 in k range: 1550T to 1600T (134-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^83+1 in k range: 1600T to 1650T (134-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^83+1 in k range: 1650T to 1700T (134-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^83+1 in k range: 1700T to 1750T (134-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^83+1 in k range: 1750T to 1800T (134-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^84+1 in k range: 1400T to 1450T (135-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^84+1 in k range: 1450T to 1500T (135-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^84+1 in k range: 1500T to 1550T (135-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^84+1 in k range: 1550T to 1600T (135-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^84+1 in k range: 1600T to 1650T (135-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^84+1 in k range: 1650T to 1700T (135-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^84+1 in k range: 1700T to 1750T (135-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^84+1 in k range: 1750T to 1800T (135-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^85+1 in k range: 1400T to 1450T (136-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^85+1 in k range: 1450T to 1500T (136-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^85+1 in k range: 1500T to 1550T (136-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^85+1 in k range: 1550T to 1600T (136-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^85+1 in k range: 1600T to 1650T (136-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^85+1 in k range: 1650T to 1700T (136-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^85+1 in k range: 1700T to 1750T (136-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^85+1 in k range: 1750T to 1800T (136-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^86+1 in k range: 1400T to 1450T (137-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^86+1 in k range: 1450T to 1500T (137-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^86+1 in k range: 1500T to 1550T (137-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^86+1 in k range: 1550T to 1600T (137-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^86+1 in k range: 1600T to 1650T (137-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^86+1 in k range: 1650T to 1700T (137-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^86+1 in k range: 1700T to 1750T (137-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^86+1 in k range: 1750T to 1800T (137-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^87+1 in k range: 1400T to 1450T (138-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^87+1 in k range: 1450T to 1500T (138-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^87+1 in k range: 1500T to 1550T (138-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^87+1 in k range: 1550T to 1600T (138-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^87+1 in k range: 1600T to 1650T (138-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^87+1 in k range: 1650T to 1700T (138-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^87+1 in k range: 1700T to 1750T (138-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^87+1 in k range: 1750T to 1800T (138-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^88+1 in k range: 1400T to 1450T (139-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^88+1 in k range: 1450T to 1500T (139-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^88+1 in k range: 1500T to 1550T (139-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^88+1 in k range: 1550T to 1600T (139-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^88+1 in k range: 1600T to 1650T (139-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^88+1 in k range: 1650T to 1700T (139-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^88+1 in k range: 1700T to 1750T (139-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^88+1 in k range: 1750T to 1800T (139-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^89+1 in k range: 1400T to 1450T (140-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^89+1 in k range: 1450T to 1500T (140-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^89+1 in k range: 1500T to 1550T (140-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^89+1 in k range: 1550T to 1600T (140-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^89+1 in k range: 1600T to 1650T (140-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^89+1 in k range: 1650T to 1700T (140-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^89+1 in k range: 1700T to 1750T (140-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^89+1 in k range: 1750T to 1800T (140-bit factors) [mmff 0.28 mfaktc_barrett140_F64_95gs]
no factor for k*2^90+1 in k range: 1400T to 1450T (141-bit factors) [mmff 0.28 mfaktc_barrett152_F64_95gs]
no factor for k*2^90+1 in k range: 1450T to 1500T (141-bit factors) [mmff 0.28 mfaktc_barrett152_F64_95gs]
no factor for k*2^90+1 in k range: 1500T to 1550T (141-bit factors) [mmff 0.28 mfaktc_barrett152_F64_95gs]
no factor for k*2^90+1 in k range: 1550T to 1600T (141-bit factors) [mmff 0.28 mfaktc_barrett152_F64_95gs]
no factor for k*2^90+1 in k range: 1600T to 1650T (141-bit factors) [mmff 0.28 mfaktc_barrett152_F64_95gs]
no factor for k*2^90+1 in k range: 1650T to 1700T (141-bit factors) [mmff 0.28 mfaktc_barrett152_F64_95gs]
no factor for k*2^90+1 in k range: 1700T to 1750T (141-bit factors) [mmff 0.28 mfaktc_barrett152_F64_95gs]
no factor for k*2^90+1 in k range: 1750T to 1800T (141-bit factors) [mmff 0.28 mfaktc_barrett152_F64_95gs]
[/CODE]

Hi all,

A result from a long ( more than 30 day) run.

no factor for k*2^36+1 in k range: 350P to 360P (95-bit factors) [mmff 0.26 mfaktc_barrett96_F32_63gs]

Regards,
Matt

Hi Math people,

The other half of my range is now complete. Although I didn't find anything, now we know that there is nothing there.

no factor for k*2^36+1 in k range: 360P to 370P (95-bit factors) [mmff 0.26 mfaktc_barrett96_F32_63gs]

Regards,
Matt