[CODE]no factor for k*2^41+1 in k range: 20P to 21P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^41+1 in k range: 21P to 22P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^41+1 in k range: 22P to 23P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^41+1 in k range: 23P to 24P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^41+1 in k range: 24P to 25P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^41+1 in k range: 25P to 26P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^41+1 in k range: 26P to 27P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^41+1 in k range: 27P to 28P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^41+1 in k range: 28P to 29P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs]
no factor for k*2^41+1 in k range: 29P to 30P (96-bit factors) [mmff 0.28 mfaktc_barrett96_F32_63gs][/CODE]

Hi Math People,

no factor for k*2^36+1 in k range: 430P to 450P (95-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]

Regards,
Matt

FermatFactor=29, 6.0 * 10^17, 10.0 * 10^17, nothing

[CODE]no factor for k*2^29+1 in k range: 600P to 605P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 605P to 610P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 610P to 615P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 615P to 620P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 620P to 625P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 625P to 630P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 630P to 635P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 635P to 640P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 640P to 645P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 645P to 650P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 650P to 655P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 655P to 660P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 660P to 665P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 665P to 670P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 670P to 675P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 675P to 680P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 680P to 685P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 685P to 690P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 690P to 695P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 695P to 700P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 700P to 705P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 705P to 710P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 710P to 715P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 715P to 720P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 720P to 725P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 725P to 730P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 730P to 735P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 735P to 740P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 740P to 745P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 745P to 750P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 750P to 755P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 755P to 760P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 760P to 765P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 765P to 770P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 770P to 775P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 775P to 780P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 780P to 785P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 785P to 790P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 790P to 795P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 795P to 800P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 800P to 805P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 805P to 810P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 810P to 815P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 815P to 820P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 820P to 825P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 825P to 830P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 830P to 835P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 835P to 840P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 840P to 845P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 845P to 850P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 850P to 855P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 855P to 860P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 860P to 865P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 865P to 870P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 870P to 875P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 875P to 880P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 880P to 885P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 885P to 890P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 890P to 895P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 895P to 900P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 900P to 905P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 905P to 910P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 910P to 915P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 915P to 920P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 920P to 925P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 925P to 930P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 930P to 935P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 935P to 940P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 940P to 945P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 945P to 950P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 950P to 955P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 955P to 960P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 960P to 965P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 965P to 970P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 970P to 975P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 975P to 980P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 980P to 985P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 985P to 990P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 990P to 995P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 995P to 1000P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
[/CODE]

FermatFactor=29, 10.0 * 10^17,11.0 * 10^17

nada

[CODE]no factor for k*2^29+1 in k range: 1000P to 1005P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1005P to 1010P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1010P to 1015P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1015P to 1020P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1020P to 1025P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1025P to 1030P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1030P to 1035P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1035P to 1040P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1040P to 1045P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1045P to 1050P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1050P to 1055P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1050P to 1055P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1060P to 1065P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1065P to 1070P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1070P to 1075P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1075P to 1080P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1080P to 1085P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1085P to 1090P (89-bit factors) [mmff 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1090P to 1095P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 1095P to 1100P (89-bit factors) [mmff 0.27 mfaktc_barrett89_F0_31gs]
[/CODE]

Hi Math People,


no factor for k*2^36+1 in k range: 450P to 460P (95-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]
no factor for k*2^36+1 in k range: 460P to 470P (95-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]


Regards,
Matt

[CODE]no factor for k*2^70+1 in k range: 3200000000000000 to 4503599627370495 (122-bit factors) [mmff 0.28 mfaktc_barrett128_F64_95gs]
no factor for k*2^70+1 in k range: 4503599627370496 to 5000000000000000 (123-bit factors) [mmff 0.28 mfaktc_barrett128_F64_95gs]
no factor for k*2^71+1 in k range: 3200000000000000 to 4503599627370495 (123-bit factors) [mmff 0.28 mfaktc_barrett128_F64_95gs]
no factor for k*2^71+1 in k range: 4503599627370496 to 5000000000000000 (124-bit factors) [mmff 0.28 mfaktc_barrett128_F64_95gs]
no factor for k*2^72+1 in k range: 3200000000000000 to 4503599627370495 (124-bit factors) [mmff 0.28 mfaktc_barrett128_F64_95gs]
no factor for k*2^72+1 in k range: 4503599627370496 to 5000000000000000 (125-bit factors) [mmff 0.28 mfaktc_barrett128_F64_95gs]
no factor for k*2^73+1 in k range: 3200000000000000 to 4503599627370495 (125-bit factors) [mmff 0.28 mfaktc_barrett128_F64_95gs]
no factor for k*2^73+1 in k range: 4503599627370496 to 5000000000000000 (126-bit factors) [mmff 0.28 mfaktc_barrett128_F64_95gs]
no factor for k*2^74+1 in k range: 3200000000000000 to 4503599627370495 (126-bit factors) [mmff 0.28 mfaktc_barrett128_F64_95gs]
no factor for k*2^74+1 in k range: 4503599627370496 to 5000000000000000 (127-bit factors) [mmff 0.28 mfaktc_barrett128_F64_95gs][/CODE]

Hi Math People,

no factor for k*2^36+1 in k range: 470P to 480P (95-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]
no factor for k*2^36+1 in k range: 480P to 490P (95-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]

Regards,
Matt

[FONT=Arial]Hi Math People,

[/FONT][COLOR=#898989][FONT=Raleway][COLOR=Black][FONT=Arial]no factor for k*2^36+1 in k range: 490P to 500P (95-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]

no factor for k*2^36+1 in k range: 500P to 510P (95-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]

Regards,

Matt
[/FONT][/COLOR][B][COLOR=Black]
[/COLOR] [/B][/FONT][/COLOR]

Hi Math People,

no factor for k*2^36+1 in k range: 510P to 520P (95-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]

no factor for k*2^36+1 in k range: 520P to 530P (95-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]

Regards,
Matt

MM31
 

[CODE]no factor for MM31 in k range: 70P to 72P (88-bit factors) [mmff 0.26 mfaktc_barrett89_M31gs]
[/CODE]

Hi Math People,

no factor for k*2^36+1 in k range: 530P to 540P (95-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]
no factor for k*2^36+1 in k range: 540P to 550P (95-bit factors) [mmff 0.27 mfaktc_barrett96_F32_63gs]

Regards,
Matt