[CODE]no factor for k*2^44+1 in k range: 3P to 4P (96-bit factors) [mmff 0.26 mfaktc_barrett96_F32_63gs][/CODE]

no factor for k*2^75+1 in k range: 1125899906843000 to 1200000000000000 (126-bit factors) [mmff 0.26 mfaktc_barrett128_F64_95gs]

[CODE]no factor for k*2^150+1 in k range: 141T to 150T (198-bit factors) [mmff 0.27 mfaktc_barrett204_F128_159gs]
no factor for k*2^151+1 in k range: 141T to 150T (199-bit factors) [mmff 0.27 mfaktc_barrett204_F128_159gs]
no factor for k*2^152+1 in k range: 141T to 150T (200-bit factors) [mmff 0.27 mfaktc_barrett204_F128_159gs]
no factor for k*2^153+1 in k range: 141T to 150T (201-bit factors) [mmff 0.27 mfaktc_barrett204_F128_159gs]
no factor for k*2^154+1 in k range: 141T to 150T (202-bit factors) [mmff 0.27 mfaktc_barrett204_F128_159gs]
no factor for k*2^155+1 in k range: 141T to 150T (203-bit factors) [mmff 0.27 mfaktc_barrett204_F128_159gs]
no factor for k*2^156+1 in k range: 141T to 150T (204-bit factors) [mmff 0.27 mfaktc_barrett204_F128_159gs]
no factor for k*2^157+1 in k range: 141T to 150T (205-bit factors) [mmff 0.27 mfaktc_barrett215_F128_159gs]
no factor for k*2^158+1 in k range: 141T to 150T (206-bit factors) [mmff 0.27 mfaktc_barrett215_F128_159gs]
no factor for k*2^159+1 in k range: 141T to 150T (207-bit factors) [mmff 0.27 mfaktc_barrett215_F128_159gs]
[/CODE]

FermatFactor=34,5e15,1e16

no results:
no factor for k*2^34+1 in k range: 5P to 6P (87-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^34+1 in k range: 6P to 7P (87-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^34+1 in k range: 7P to 8P (87-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^34+1 in k range: 8P to 9P (87-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^34+1 in k range: 9000000000000000 to 9007199254740991 (87-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^34+1 in k range: 9007199254740992 to 10000000000000000 (88-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]

[CODE]no factor for k*2^100+1 in k range: 140000000000000 to 140737488355327 (147-bit factors) [mmff 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^100+1 in k range: 140737488355328 to 150000000000000 (148-bit factors) [mmff 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^101+1 in k range: 140000000000000 to 140737488355327 (148-bit factors) [mmff 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^101+1 in k range: 140737488355328 to 150000000000000 (149-bit factors) [mmff 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^102+1 in k range: 140000000000000 to 140737488355327 (149-bit factors) [mmff 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^102+1 in k range: 140737488355328 to 150000000000000 (150-bit factors) [mmff 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^103+1 in k range: 140000000000000 to 140737488355327 (150-bit factors) [mmff 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^103+1 in k range: 140737488355328 to 150000000000000 (151-bit factors) [mmff 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^104+1 in k range: 140000000000000 to 140737488355327 (151-bit factors) [mmff 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^104+1 in k range: 140737488355328 to 150000000000000 (152-bit factors) [mmff 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^105+1 in k range: 140000000000000 to 140737488355327 (152-bit factors) [mmff 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^105+1 in k range: 140737488355328 to 150000000000000 (153-bit factors) [mmff 0.26 mfaktc_barrett160_F96_127gs]
no factor for k*2^106+1 in k range: 140000000000000 to 140737488355327 (153-bit factors) [mmff 0.26 mfaktc_barrett160_F96_127gs]
no factor for k*2^106+1 in k range: 140737488355328 to 150000000000000 (154-bit factors) [mmff 0.26 mfaktc_barrett160_F96_127gs]
no factor for k*2^107+1 in k range: 140000000000000 to 140737488355327 (154-bit factors) [mmff 0.26 mfaktc_barrett160_F96_127gs]
no factor for k*2^107+1 in k range: 140737488355328 to 150000000000000 (155-bit factors) [mmff 0.26 mfaktc_barrett160_F96_127gs]
no factor for k*2^108+1 in k range: 140000000000000 to 140737488355327 (155-bit factors) [mmff 0.26 mfaktc_barrett160_F96_127gs]
no factor for k*2^108+1 in k range: 140737488355328 to 150000000000000 (156-bit factors) [mmff 0.26 mfaktc_barrett160_F96_127gs]
no factor for k*2^109+1 in k range: 140000000000000 to 140737488355327 (156-bit factors) [mmff 0.26 mfaktc_barrett160_F96_127gs]
no factor for k*2^109+1 in k range: 140737488355328 to 150000000000000 (157-bit factors) [mmff 0.26 mfaktc_barrett160_F96_127gs][/CODE]

[CODE]no factor for k*2^120+1 in k range: 141T to 150T (168-bit factors) [mmff 0.27 mfaktc_barrett172_F96_127gs]
no factor for k*2^121+1 in k range: 141T to 150T (169-bit factors) [mmff 0.27 mfaktc_barrett172_F96_127gs]
no factor for k*2^122+1 in k range: 141T to 150T (170-bit factors) [mmff 0.27 mfaktc_barrett172_F96_127gs]
no factor for k*2^123+1 in k range: 141T to 150T (171-bit factors) [mmff 0.27 mfaktc_barrett172_F96_127gs]
no factor for k*2^124+1 in k range: 141T to 150T (172-bit factors) [mmff 0.27 mfaktc_barrett172_F96_127gs]
no factor for k*2^125+1 in k range: 141T to 150T (173-bit factors) [mmff 0.27 mfaktc_barrett183_F96_127gs]
no factor for k*2^126+1 in k range: 141T to 150T (174-bit factors) [mmff 0.27 mfaktc_barrett183_F96_127gs]
no factor for k*2^127+1 in k range: 141T to 150T (175-bit factors) [mmff 0.27 mfaktc_barrett183_F96_127gs]
no factor for k*2^128+1 in k range: 141T to 150T (176-bit factors) [mmff 0.27 mfaktc_barrett183_F128_159gs]
no factor for k*2^129+1 in k range: 141T to 150T (177-bit factors) [mmff 0.27 mfaktc_barrett183_F128_159gs][/CODE]

Nichts for:

FermatFactor=32,5e15,1e16
FermatFactor=33,5e15,1e16

no factor for k*2^32+1 in k range: 5P to 6P (85-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^32+1 in k range: 6P to 7P (85-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^32+1 in k range: 7P to 8P (85-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^32+1 in k range: 8P to 9P (85-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^32+1 in k range: 9000000000000000 to 9007199254740991 (85-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^32+1 in k range: 9007199254740992 to 10000000000000000 (86-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]

no factor for k*2^33+1 in k range: 5P to 6P (86-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^33+1 in k range: 6P to 7P (86-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^33+1 in k range: 7P to 8P (86-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^33+1 in k range: 8P to 9P (86-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^33+1 in k range: 9000000000000000 to 9007199254740991 (86-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^33+1 in k range: 9007199254740992 to 10000000000000000 (87-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]

[CODE]no factor for k*2^130+1 in k range: 141T to 150T (178-bit factors) [mmff 0.27 mfaktc_barrett183_F128_159gs]
no factor for k*2^131+1 in k range: 141T to 150T (179-bit factors) [mmff 0.27 mfaktc_barrett183_F128_159gs]
no factor for k*2^132+1 in k range: 141T to 150T (180-bit factors) [mmff 0.27 mfaktc_barrett183_F128_159gs]
no factor for k*2^133+1 in k range: 141T to 150T (181-bit factors) [mmff 0.27 mfaktc_barrett183_F128_159gs]
no factor for k*2^134+1 in k range: 141T to 150T (182-bit factors) [mmff 0.27 mfaktc_barrett183_F128_159gs]
no factor for k*2^135+1 in k range: 141T to 150T (183-bit factors) [mmff 0.27 mfaktc_barrett183_F128_159gs]
no factor for k*2^136+1 in k range: 141T to 150T (184-bit factors) [mmff 0.27 mfaktc_barrett185_F128_159gs]
no factor for k*2^137+1 in k range: 141T to 150T (185-bit factors) [mmff 0.27 mfaktc_barrett185_F128_159gs]
no factor for k*2^138+1 in k range: 141T to 150T (186-bit factors) [mmff 0.27 mfaktc_barrett188_F128_159gs]
no factor for k*2^139+1 in k range: 141T to 150T (187-bit factors) [mmff 0.27 mfaktc_barrett188_F128_159gs]
[/CODE]

No factor in 160<=N<=169, 6e12<k<2^47 (~140.7e12).

Details are attached.

took long time until complete...

no factor for MM31 in k range: 32P to 33P (87-bit factors) [mmff 0.26 mfaktc_barrett89_M31gs]

[code]
no factor for k*2^75+1 in k range: 1200T to 2000T (126-bit factors) [mmff 0.26 mfaktc_barrett128_F64_95gs]
[/code]
Luigi