GFN factoring with mmff-gfn | Results

Batalov · 2012-10-13, 06:36

Post the results.txt data in this thread. (Factors also to the "New GFN factors" thread.)

lalera · 2012-10-13, 07:52

results for gfn6

Code:

no factor for k*2^91+1 in k range: 4398000000000 to 4398046511103 (133-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^91+1 in k range: 4398046511104 to 8796093022207 (134-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^91+1 in k range: 8796093022208 to 10000000000000 (135-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^92+1 in k range: 4398000000000 to 4398046511103 (134-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^92+1 in k range: 4398046511104 to 8796093022207 (135-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^92+1 in k range: 8796093022208 to 10000000000000 (136-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^93+1 in k range: 4398000000000 to 4398046511103 (135-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^93+1 in k range: 4398046511104 to 8796093022207 (136-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^93+1 in k range: 8796093022208 to 10000000000000 (137-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^94+1 in k range: 4398000000000 to 4398046511103 (136-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^94+1 in k range: 4398046511104 to 8796093022207 (137-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^94+1 in k range: 8796093022208 to 10000000000000 (138-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^95+1 in k range: 4398000000000 to 4398046511103 (137-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^95+1 in k range: 4398046511104 to 8796093022207 (138-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^95+1 in k range: 8796093022208 to 10000000000000 (139-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^96+1 in k range: 4398000000000 to 4398046511103 (138-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F96_127gs]
no factor for k*2^96+1 in k range: 4398046511104 to 8796093022207 (139-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F96_127gs]
no factor for k*2^96+1 in k range: 8796093022208 to 10000000000000 (140-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F96_127gs]
no factor for k*2^97+1 in k range: 4398000000000 to 4398046511103 (139-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F96_127gs]
no factor for k*2^97+1 in k range: 4398046511104 to 8796093022207 (140-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F96_127gs]
no factor for k*2^97+1 in k range: 8796093022208 to 10000000000000 (141-bit factors) [mmff-gfn6 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^98+1 in k range: 4398000000000 to 4398046511103 (140-bit factors) [mmff-gfn6 0.26 mfaktc_barrett140_F96_127gs]
no factor for k*2^98+1 in k range: 4398046511104 to 8796093022207 (141-bit factors) [mmff-gfn6 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^98+1 in k range: 8796093022208 to 10000000000000 (142-bit factors) [mmff-gfn6 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^99+1 in k range: 4398000000000 to 4398046511103 (141-bit factors) [mmff-gfn6 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^99+1 in k range: 4398046511104 to 8796093022207 (142-bit factors) [mmff-gfn6 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^99+1 in k range: 8796093022208 to 10000000000000 (143-bit factors) [mmff-gfn6 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^100+1 in k range: 4398000000000 to 4398046511103 (142-bit factors) [mmff-gfn6 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^100+1 in k range: 4398046511104 to 8796093022207 (143-bit factors) [mmff-gfn6 0.26 mfaktc_barrett152_F96_127gs]
no factor for k*2^100+1 in k range: 8796093022208 to 10000000000000 (144-bit factors) [mmff-gfn6 0.26 mfaktc_barrett152_F96_127gs]

lalera · 2012-10-14, 07:20

results for gfn6

Code:

no factor for k*2^25+1 in k range: 70000000000000 to 70368744177663 (71-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^25+1 in k range: 70368744177664 to 100000000000000 (72-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^26+1 in k range: 70000000000000 to 70368744177663 (72-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^26+1 in k range: 70368744177664 to 100000000000000 (73-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^27+1 in k range: 70000000000000 to 70368744177663 (73-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^27+1 in k range: 70368744177664 to 100000000000000 (74-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^28+1 in k range: 70000000000000 to 70368744177663 (74-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^28+1 in k range: 70368744177664 to 100000000000000 (75-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 70000000000000 to 70368744177663 (75-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 70368744177664 to 100000000000000 (76-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^30+1 in k range: 10000000000000 to 17592186044415 (74-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^30+1 in k range: 17592186044416 to 35184372088831 (75-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^30+1 in k range: 35184372088832 to 70368744177663 (76-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^30+1 in k range: 70368744177664 to 100000000000000 (77-bit factors) [mmff-gfn6 0.26 mfaktc_barrett89_F0_31gs]

lalera · 2012-10-14, 11:10

results for gfn10

Code:

no factor for k*2^28+1 in k range: 10000000000000 to 17592186044415 (72-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^28+1 in k range: 17592186044416 to 35184372088831 (73-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^28+1 in k range: 35184372088832 to 70368744177663 (74-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^28+1 in k range: 70368744177664 to 100000000000000 (75-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 10000000000000 to 17592186044415 (73-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 17592186044416 to 35184372088831 (74-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 35184372088832 to 70368744177663 (75-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^29+1 in k range: 70368744177664 to 100000000000000 (76-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
GF(29,10) has a factor: 15253151506291109134337 [TF:73:74:mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
found 1 factor for k*2^30+1 in k range: 10000000000000 to 17592186044415 (74-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^30+1 in k range: 17592186044416 to 35184372088831 (75-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^30+1 in k range: 35184372088832 to 70368744177663 (76-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^30+1 in k range: 70368744177664 to 100000000000000 (77-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^31+1 in k range: 10000000000000 to 17592186044415 (75-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^31+1 in k range: 17592186044416 to 35184372088831 (76-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^31+1 in k range: 35184372088832 to 70368744177663 (77-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^31+1 in k range: 70368744177664 to 100000000000000 (78-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^39+1 in k range: 10000000000000 to 17592186044415 (83-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^39+1 in k range: 17592186044416 to 35184372088831 (84-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^39+1 in k range: 35184372088832 to 70368744177663 (85-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^39+1 in k range: 70368744177664 to 100000000000000 (86-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F32_63gs]

lalera · 2012-10-14, 15:52

results for gfn10

Code:

no factor for k*2^25+1 in k range: 70000000000000 to 70368744177663 (71-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^25+1 in k range: 70368744177664 to 100000000000000 (72-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^26+1 in k range: 70000000000000 to 70368744177663 (72-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^26+1 in k range: 70368744177664 to 100000000000000 (73-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^27+1 in k range: 35000000000000 to 35184372088831 (72-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^27+1 in k range: 35184372088832 to 70368744177663 (73-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^27+1 in k range: 70368744177664 to 100000000000000 (74-bit factors) [mmff-gfn10 0.26 mfaktc_barrett89_F0_31gs]

lalera · 2012-10-14, 18:42

results for gfn10

Code:

no factor for k*2^57+1 in k range: 8000000000000 to 8796093022207 (100-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^57+1 in k range: 8796093022208 to 10000000000000 (101-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^58+1 in k range: 8000000000000 to 8796093022207 (101-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^58+1 in k range: 8796093022208 to 10000000000000 (102-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^59+1 in k range: 8000000000000 to 8796093022207 (102-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^59+1 in k range: 8796093022208 to 10000000000000 (103-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^60+1 in k range: 8000000000000 to 8796093022207 (103-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^60+1 in k range: 8796093022208 to 10000000000000 (104-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^61+1 in k range: 8000000000000 to 8796093022207 (104-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^61+1 in k range: 8796093022208 to 10000000000000 (105-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^62+1 in k range: 8000000000000 to 8796093022207 (105-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^62+1 in k range: 8796093022208 to 10000000000000 (106-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^63+1 in k range: 8000000000000 to 8796093022207 (106-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^63+1 in k range: 8796093022208 to 10000000000000 (107-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^64+1 in k range: 8000000000000 to 8796093022207 (107-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F64_95gs]
no factor for k*2^64+1 in k range: 8796093022208 to 10000000000000 (108-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F64_95gs]
no factor for k*2^65+1 in k range: 8000000000000 to 8796093022207 (108-bit factors) [mmff-gfn10 0.26 mfaktc_barrett108_F64_95gs]
no factor for k*2^65+1 in k range: 8796093022208 to 10000000000000 (109-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^66+1 in k range: 8000000000000 to 8796093022207 (109-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^66+1 in k range: 8796093022208 to 10000000000000 (110-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^67+1 in k range: 8000000000000 to 8796093022207 (110-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^67+1 in k range: 8796093022208 to 10000000000000 (111-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^68+1 in k range: 8000000000000 to 8796093022207 (111-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^68+1 in k range: 8796093022208 to 10000000000000 (112-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^69+1 in k range: 8000000000000 to 8796093022207 (112-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^69+1 in k range: 8796093022208 to 10000000000000 (113-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^70+1 in k range: 8000000000000 to 8796093022207 (113-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^70+1 in k range: 8796093022208 to 10000000000000 (114-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^71+1 in k range: 8000000000000 to 8796093022207 (114-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^71+1 in k range: 8796093022208 to 10000000000000 (115-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^72+1 in k range: 8000000000000 to 8796093022207 (115-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^72+1 in k range: 8796093022208 to 10000000000000 (116-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]

lalera · 2012-10-14, 20:59

results for gfn3

Code:

no factor for k*2^51+1 in k range: 8000000000000 to 8796093022207 (94-bit factors) [mmff-gfn3 0.26 mfaktc_barrett96_F32_63gs]
no factor for k*2^51+1 in k range: 8796093022208 to 10000000000000 (95-bit factors) [mmff-gfn3 0.26 mfaktc_barrett96_F32_63gs]
no factor for k*2^52+1 in k range: 8000000000000 to 8796093022207 (95-bit factors) [mmff-gfn3 0.26 mfaktc_barrett96_F32_63gs]
no factor for k*2^52+1 in k range: 8796093022208 to 10000000000000 (96-bit factors) [mmff-gfn3 0.26 mfaktc_barrett96_F32_63gs]
no factor for k*2^53+1 in k range: 8000000000000 to 8796093022207 (96-bit factors) [mmff-gfn3 0.26 mfaktc_barrett96_F32_63gs]
no factor for k*2^53+1 in k range: 8796093022208 to 10000000000000 (97-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^54+1 in k range: 8000000000000 to 8796093022207 (97-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^54+1 in k range: 8796093022208 to 10000000000000 (98-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^55+1 in k range: 8000000000000 to 8796093022207 (98-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^55+1 in k range: 8796093022208 to 10000000000000 (99-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^56+1 in k range: 8000000000000 to 8796093022207 (99-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^56+1 in k range: 8796093022208 to 10000000000000 (100-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^57+1 in k range: 8000000000000 to 8796093022207 (100-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^57+1 in k range: 8796093022208 to 10000000000000 (101-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^58+1 in k range: 8000000000000 to 8796093022207 (101-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^58+1 in k range: 8796093022208 to 10000000000000 (102-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^59+1 in k range: 8000000000000 to 8796093022207 (102-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^59+1 in k range: 8796093022208 to 10000000000000 (103-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^60+1 in k range: 8000000000000 to 8796093022207 (103-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^60+1 in k range: 8796093022208 to 10000000000000 (104-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^61+1 in k range: 8000000000000 to 8796093022207 (104-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^61+1 in k range: 8796093022208 to 10000000000000 (105-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^62+1 in k range: 8000000000000 to 8796093022207 (105-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^62+1 in k range: 8796093022208 to 10000000000000 (106-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^63+1 in k range: 8000000000000 to 8796093022207 (106-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^63+1 in k range: 8796093022208 to 10000000000000 (107-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F32_63gs]
no factor for k*2^64+1 in k range: 8000000000000 to 8796093022207 (107-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F64_95gs]
no factor for k*2^64+1 in k range: 8796093022208 to 10000000000000 (108-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F64_95gs]
no factor for k*2^65+1 in k range: 4000000000000 to 4398046511103 (107-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F64_95gs]
no factor for k*2^65+1 in k range: 4398046511104 to 8796093022207 (108-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F64_95gs]
no factor for k*2^65+1 in k range: 8796093022208 to 10000000000000 (109-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^66+1 in k range: 4000000000000 to 4398046511103 (108-bit factors) [mmff-gfn3 0.26 mfaktc_barrett108_F64_95gs]
no factor for k*2^66+1 in k range: 4398046511104 to 8796093022207 (109-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^66+1 in k range: 8796093022208 to 10000000000000 (110-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^67+1 in k range: 8000000000000 to 8796093022207 (110-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^67+1 in k range: 8796093022208 to 10000000000000 (111-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^68+1 in k range: 8000000000000 to 8796093022207 (111-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^68+1 in k range: 8796093022208 to 10000000000000 (112-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^69+1 in k range: 8000000000000 to 8796093022207 (112-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^69+1 in k range: 8796093022208 to 10000000000000 (113-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]

lalera · 2012-10-14, 21:01

results for gfn3

Code:

no factor for k*2^70+1 in k range: 8000000000000 to 8796093022207 (113-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^70+1 in k range: 8796093022208 to 10000000000000 (114-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^71+1 in k range: 8000000000000 to 8796093022207 (114-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^71+1 in k range: 8796093022208 to 10000000000000 (115-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^72+1 in k range: 8000000000000 to 8796093022207 (115-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^72+1 in k range: 8796093022208 to 10000000000000 (116-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^73+1 in k range: 8000000000000 to 8796093022207 (116-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^73+1 in k range: 8796093022208 to 10000000000000 (117-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^74+1 in k range: 8000000000000 to 8796093022207 (117-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^74+1 in k range: 8796093022208 to 10000000000000 (118-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^75+1 in k range: 8000000000000 to 8796093022207 (118-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^75+1 in k range: 8796093022208 to 10000000000000 (119-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^76+1 in k range: 8000000000000 to 8796093022207 (119-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^76+1 in k range: 8796093022208 to 10000000000000 (120-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^77+1 in k range: 8000000000000 to 8796093022207 (120-bit factors) [mmff-gfn3 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^77+1 in k range: 8796093022208 to 10000000000000 (121-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^78+1 in k range: 8000000000000 to 8796093022207 (121-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^78+1 in k range: 8796093022208 to 10000000000000 (122-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^79+1 in k range: 8000000000000 to 8796093022207 (122-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^79+1 in k range: 8796093022208 to 10000000000000 (123-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^80+1 in k range: 8000000000000 to 8796093022207 (123-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^80+1 in k range: 8796093022208 to 10000000000000 (124-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^81+1 in k range: 8000000000000 to 8796093022207 (124-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^81+1 in k range: 8796093022208 to 10000000000000 (125-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^82+1 in k range: 8000000000000 to 8796093022207 (125-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^82+1 in k range: 8796093022208 to 10000000000000 (126-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^83+1 in k range: 8000000000000 to 8796093022207 (126-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^83+1 in k range: 8796093022208 to 10000000000000 (127-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^84+1 in k range: 8000000000000 to 8796093022207 (127-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^84+1 in k range: 8796093022208 to 10000000000000 (128-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^85+1 in k range: 8000000000000 to 8796093022207 (128-bit factors) [mmff-gfn3 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^85+1 in k range: 8796093022208 to 10000000000000 (129-bit factors) [mmff-gfn3 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^86+1 in k range: 8000000000000 to 8796093022207 (129-bit factors) [mmff-gfn3 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^86+1 in k range: 8796093022208 to 10000000000000 (130-bit factors) [mmff-gfn3 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^87+1 in k range: 8000000000000 to 8796093022207 (130-bit factors) [mmff-gfn3 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^87+1 in k range: 8796093022208 to 10000000000000 (131-bit factors) [mmff-gfn3 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^88+1 in k range: 8000000000000 to 8796093022207 (131-bit factors) [mmff-gfn3 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^88+1 in k range: 8796093022208 to 10000000000000 (132-bit factors) [mmff-gfn3 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^89+1 in k range: 8000000000000 to 8796093022207 (132-bit factors) [mmff-gfn3 0.26 mfaktc_barrett140_F64_95gs]
no factor for k*2^89+1 in k range: 8796093022208 to 10000000000000 (133-bit factors) [mmff-gfn3 0.26 mfaktc_barrett140_F64_95gs]

Batalov · 2012-10-14, 21:56

Looks good! This is what I was typically getting lately - a factor for 2-3 GTX570-days.

firejuggler · 2012-10-15, 08:32

result for gnf 12

Code:

no factor for k*2^25+1 in k range: 17500000000000 to 17592186044415 (69-bit factors) [mmff-gfn12 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^25+1 in k range: 17592186044416 to 35184372088831 (70-bit factors) [mmff-gfn12 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^25+1 in k range: 35184372088832 to 50000000000000 (71-bit factors) [mmff-gfn12 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^26+1 in k range: 17500000000000 to 17592186044415 (70-bit factors) [mmff-gfn12 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^26+1 in k range: 17592186044416 to 35184372088831 (71-bit factors) [mmff-gfn12 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^26+1 in k range: 35184372088832 to 50000000000000 (72-bit factors) [mmff-gfn12 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^27+1 in k range: 17500000000000 to 17592186044415 (71-bit factors) [mmff-gfn12 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^27+1 in k range: 17592186044416 to 35184372088831 (72-bit factors) [mmff-gfn12 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^27+1 in k range: 35184372088832 to 50000000000000 (73-bit factors) [mmff-gfn12 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^28+1 in k range: 17500000000000 to 17592186044415 (72-bit factors) [mmff-gfn12 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^28+1 in k range: 17592186044416 to 35184372088831 (73-bit factors) [mmff-gfn12 0.26 mfaktc_barrett89_F0_31gs]
no factor for k*2^28+1 in k range: 35184372088832 to 50000000000000 (74-bit factors) [mmff-gfn12 0.26 mfaktc_barrett89_F0_31gs]

lalera · 2012-10-15, 14:42

results for gfn10

Code:

no factor for k*2^73+1 in k range: 4398000000000 to 4398046511103 (115-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^73+1 in k range: 4398046511104 to 8796093022207 (116-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^73+1 in k range: 8796093022208 to 10000000000000 (117-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^74+1 in k range: 4398000000000 to 4398046511103 (116-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^74+1 in k range: 4398046511104 to 8796093022207 (117-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^74+1 in k range: 8796093022208 to 10000000000000 (118-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^75+1 in k range: 4398000000000 to 4398046511103 (117-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
GF(73,10) has a factor: 278816768371274230098219575604674561 [TF:117:118:mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
found 1 factor for k*2^75+1 in k range: 4398046511104 to 8796093022207 (118-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^75+1 in k range: 8796093022208 to 10000000000000 (119-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^76+1 in k range: 4398000000000 to 4398046511103 (118-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^76+1 in k range: 4398046511104 to 8796093022207 (119-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^76+1 in k range: 8796093022208 to 10000000000000 (120-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^77+1 in k range: 4398000000000 to 4398046511103 (119-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^77+1 in k range: 4398046511104 to 8796093022207 (120-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^77+1 in k range: 8796093022208 to 10000000000000 (121-bit factors) [mmff-gfn10 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^78+1 in k range: 4398000000000 to 4398046511103 (120-bit factors) [mmff-gfn10 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^78+1 in k range: 4398046511104 to 8796093022207 (121-bit factors) [mmff-gfn10 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^78+1 in k range: 8796093022208 to 10000000000000 (122-bit factors) [mmff-gfn10 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^79+1 in k range: 4398000000000 to 4398046511103 (121-bit factors) [mmff-gfn10 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^79+1 in k range: 4398046511104 to 8796093022207 (122-bit factors) [mmff-gfn10 0.26 mfaktc_barrett128_F64_95gs]
no factor for k*2^79+1 in k range: 8796093022208 to 10000000000000 (123-bit factors) [mmff-gfn10 0.26 mfaktc_barrett128_F64_95gs]

2012-10-13, 06:36	#1
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 10049₁₀ Posts	GFN factoring with mmff-gfn \| Results Post the results.txt data in this thread. (Factors also to the "New GFN factors" thread.)

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2012-10-14, 21:56	#9
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 13×773 Posts	Looks good! This is what I was typically getting lately - a factor for 2-3 GTX570-days.