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ET_ 2016-07-02 08:25

Results
 
[Placeholder]

firejuggler 2016-07-17 16:27

result for F14000 to F14500, k=100e3 to 200e3 sieved with fermfact, checked with pfgw : 2 result, both know
116671*2^14364+1 is a Factor of xGF(14361,12,5)!!!!
180963*2^14228+1 is a Factor of xGF(14227,11,5)!!!!

wombatman 2016-12-22 03:46

[CODE]no factor for k*2^172+1 in k range: 281000000000000 to 281474976710655 (220-bit factors) [mmff 0.28 mfaktc_barrett220_F160_191gs]
no factor for k*2^172+1 in k range: 281474976710656 to 350000000000000 (221-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^173+1 in k range: 281000000000000 to 281474976710655 (221-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^173+1 in k range: 281474976710656 to 350000000000000 (222-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^174+1 in k range: 281000000000000 to 281474976710655 (222-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^174+1 in k range: 281474976710656 to 350000000000000 (223-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^175+1 in k range: 281000000000000 to 281474976710655 (223-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^175+1 in k range: 281474976710656 to 350000000000000 (224-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^176+1 in k range: 281000000000000 to 281474976710655 (224-bit factors) [mmff 0.28 mfaktc_barrett224_F160_191gs]
no factor for k*2^176+1 in k range: 281474976710656 to 350000000000000 (225-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^177+1 in k range: 281000000000000 to 281474976710655 (225-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^177+1 in k range: 281474976710656 to 350000000000000 (226-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^178+1 in k range: 281000000000000 to 281474976710655 (226-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^178+1 in k range: 281474976710656 to 350000000000000 (227-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^179+1 in k range: 281000000000000 to 281474976710655 (227-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
no factor for k*2^179+1 in k range: 281474976710656 to 350000000000000 (228-bit factors) [mmff 0.28 mfaktc_barrett236_F160_191gs]
[/CODE]

ATH 2019-11-20 06:46

I admit I did some factoring without making a reservation but I did check the Reservation thread and here: [url]http://www.fermatsearch.org/stat/running.php[/url]

I was running mmff-0.28 near the maximum range which is n<=223 and k*2[sup]n[/sup]+1 <= 2[sup]252[/sup]. I completed the maximum available ranges that mmff-0.28 can do:


[CODE]no factor for k*2^205+1 in k range: 130000000000000 to 140737488355327 (252-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]

no factor for k*2^204+1 in k range: 130000000000000 to 140737488355327 (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^204+1 in k range: 140737488355328 to 281474976710655 (252-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]

no factor for k*2^203+1 in k range: 130000000000000 to 140737488355327 (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^203+1 in k range: 140737488355328 to 281474976710655 (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^203+1 in k range: 281474976710656 to 562949953421311 (252-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]

no factor for k*2^202+1 in k range: 130000000000000 to 140737488355327 (249-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^202+1 in k range: 140737488355328 to 281474976710655 (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^202+1 in k range: 281474976710656 to 562949953421311 (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^202+1 in k range: 562949953421312 to 1125899906842623 (252-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
[/CODE]

ET_ 2019-11-22 10:11

[QUOTE=ATH;531060]I admit I did some factoring without making a reservation but I did check the Reservation thread and here: [url]http://www.fermatsearch.org/stat/running.php[/url]

I was running mmff-0.28 near the maximum range which is n<=223 and k*2[sup]n[/sup]+1 <= 2[sup]252[/sup]. I completed the maximum available ranges that mmff-0.28 can do:


[CODE]no factor for k*2^205+1 in k range: 130000000000000 to 140737488355327 (252-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]

no factor for k*2^204+1 in k range: 130000000000000 to 140737488355327 (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^204+1 in k range: 140737488355328 to 281474976710655 (252-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]

no factor for k*2^203+1 in k range: 130000000000000 to 140737488355327 (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^203+1 in k range: 140737488355328 to 281474976710655 (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^203+1 in k range: 281474976710656 to 562949953421311 (252-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]

no factor for k*2^202+1 in k range: 130000000000000 to 140737488355327 (249-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^202+1 in k range: 140737488355328 to 281474976710655 (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^202+1 in k range: 281474976710656 to 562949953421311 (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^202+1 in k range: 562949953421312 to 1125899906842623 (252-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
[/CODE][/QUOTE]

Thank you Andreas!

Now I need some volunteering effort to close the gaps of the range 200-209 and take each N to the same level...
The request is addressed to everyone,and duplicated in the "Most wanted" thread :smile:

ATH 2019-12-02 06:09

no factor for k*2^201+1 in k range: 140000000000000 to 140737488355327 (248-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^201+1 in k range: 140737488355328 to 230000000000000 (249-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^201+1 in k range: 230000000000000 to 281474976710655 (249-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^201+1 in k range: 281474976710656 to 330000000000000 (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^201+1 in k range: 330T to 430T (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^201+1 in k range: 430T to 530T (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^201+1 in k range: 530000000000000 to 562949953421311 (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^201+1 in k range: 562949953421312 to 630000000000000 (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^201+1 in k range: 630T to 730T (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^201+1 in k range: 730T to 830T (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^201+1 in k range: 830T to 930T (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^201+1 in k range: 930T to 1030T (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^201+1 in k range: 1030000000000000 to 1125899906842623 (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^201+1 in k range: 1125899906842624 to 1130000000000000 (252-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]

no factor for k*2^200+1 in k range: 130000000000000 to 140737488355327 (247-bit factors) [mmff 0.28 mfaktc_barrett247_F192_223gs]
no factor for k*2^200+1 in k range: 140737488355328 to 230000000000000 (248-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^200+1 in k range: 230000000000000 to 281474976710655 (248-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^200+1 in k range: 281474976710656 to 330000000000000 (249-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^200+1 in k range: 330T to 430T (249-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^200+1 in k range: 430T to 530T (249-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^200+1 in k range: 530000000000000 to 562949953421311 (249-bit factors) [mmff 0.28 mfaktc_barrett249_F192_223gs]
no factor for k*2^200+1 in k range: 562949953421312 to 630000000000000 (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^200+1 in k range: 630T to 730T (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^200+1 in k range: 730T to 830T (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^200+1 in k range: 830T to 930T (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^200+1 in k range: 930T to 1030T (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^200+1 in k range: 1030000000000000 to 1125899906842623 (250-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]
no factor for k*2^200+1 in k range: 1125899906842624 to 1130000000000000 (251-bit factors) [mmff 0.28 mfaktc_barrett252_F192_223gs]

MattcAnderson 2020-11-19 15:45

I'm back at it. I have a dedicated machine for Fermat Factoring.


no factor for k*2^36+1 in k range: 700P to 705P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]

no factor for k*2^36+1 in k range: 705P to 720P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^36+1 in k range: 720P to 735P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^36+1 in k range: 735P to 745P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]

wish me luck

MattcAnderson 2020-11-24 20:49

More about exponent 36
 
a small result to report ::

no factor for k*2^36+1 in k range: 745P to 755P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]

Regards,
Matt

MattcAnderson 2020-12-06 06:56

more negative results

no factor for k*2^36+1 in k range: 755P to 765P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^36+1 in k range: 765P to 775P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^36+1 in k range: 775P to 785P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]


Regards,
Matt

MattcAnderson 2020-12-11 04:43

just to let you know,

no factor for k*2^36+1 in k range: 785P to 795P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]

Regards,
Matt

MattcAnderson 2020-12-23 06:27

some results


no factor for k*2^36+1 in k range: 795P to 805P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^36+1 in k range: 805P to 815P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^36+1 in k range: 815P to 825P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]

Regards,
Matt


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