Results for k in [1000000000, 9007199254740991] = [10^9, 2^53]. I stop here so as not to waltz over Tom Kuechler's range; also I think it is much more likely now to find a factor with larger k than for a possibly overlooked smaller one.

[code]
no factor for k*2^35+1 in k range: 1000000000 to 1073741823 (65-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 1073741824 to 2147483647 (66-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 2147483648 to 4294967295 (67-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 4294967296 to 8589934591 (68-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 8589934592 to 17179869183 (69-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 17179869184 to 34359738367 (70-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 34359738368 to 68719476735 (71-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 68719476736 to 137438953471 (72-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 137438953472 to 274877906943 (73-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 274877906944 to 549755813887 (74-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 549755813888 to 1099511627775 (75-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 1099511627776 to 2199023255551 (76-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 2199023255552 to 4398046511103 (77-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 4398046511104 to 8796093022207 (78-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 8796093022208 to 17592186044415 (79-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 17592186044416 to 35184372088831 (80-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 35184372088832 to 70368744177663 (81-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 70368744177664 to 140737488355327 (82-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 140737488355328 to 281474976710655 (83-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 281474976710656 to 562949953421311 (84-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 562949953421312 to 1125899906842623 (85-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 1125899906842624 to 2251799813685247 (86-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 2251799813685248 to 4503599627370495 (87-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
no factor for k*2^35+1 in k range: 4503599627370496 to 9007199254740991 (88-bit factors) [mmff 0.26 mfaktc_barrett89_F32_63gs]
[/code]

[CODE]no factor for k*2^65+1 in k range: 1120000000000000 to 1125899906842623 (115-bit factors) [mmff 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^65+1 in k range: 1125899906842624 to 1600000000000000 (116-bit factors) [mmff 0.26 mfaktc_barrett120_F64_95gs]
no factor for k*2^65+1 in k range: 1600T to 2200T (116-bit factors) [mmff 0.26 mfaktc_barrett120_F64_95gs]
[/CODE]

820-822, no factors 22e9 to 25e9. Continuing.

[CODE]no factor for k*2^40+1 in k range: 3P to 4P (92-bit factors) [mmff 0.26 mfaktc_barrett96_F32_63gs][/CODE]

[CODE]no factor for k*2^37+1 in k range: 18000000000000000 to 18014398509481983 (91-bit factors) [mmff 0.26 mfaktc_barrett96_F32_63gs]
no factor for k*2^37+1 in k range: 18014398509481984 to 24000000000000000 (92-bit factors) [mmff 0.26 mfaktc_barrett96_F32_63gs][/CODE]

[CODE]no factor for k*2^36+1 in k range: 30500T to 33000T (91-bit factors) [mmff 0.26 mfaktc_barrett96_F32_63gs]
no factor for k*2^59+1 in k range: 1000000000000000 to 1125899906842623 (109-bit factors) [mmff 0.26 mfaktc_barrett120_F32_63gs]
no factor for k*2^59+1 in k range: 1125899906842624 to 2000000000000000 (110-bit factors) [mmff 0.26 mfaktc_barrett120_F32_63gs]
[/CODE]

no factor for k*2^36+1 in k range: 40P to 43P (92-bit factors) [mmff 0.26 mfaktc_barrett96_F32_63gs]

-Matt

[CODE]no factor for k*2^40+1 in k range: 2000000000000000 to 2251799813685247 (91-bit factors) [mmff 0.26 mfaktc_barrett96_F32_63gs]
no factor for k*2^40+1 in k range: 2251799813685248 to 3000000000000000 (92-bit factors) [mmff 0.26 mfaktc_barrett96_F32_63gs][/CODE]

MM127
 

[code]
[Wed Nov 21 19:41:35 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 14000T to 14100T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]
[Sun Nov 25 07:25:06 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 14100T to 14200T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]
[Wed Nov 28 18:57:36 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 14200T to 14300T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]
[Sun Dec 02 07:40:47 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 14300T to 14400T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]
[Wed Dec 05 19:47:58 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 14400T to 14500T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]


[Wed Nov 21 17:25:12 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 15500T to 15600T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]
[Sun Nov 25 05:10:41 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 15600T to 15700T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]
[Wed Nov 28 16:44:07 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 15700T to 15800T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]
[Sun Dec 02 05:14:51 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 15800T to 15900T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]
[Wed Dec 05 16:50:12 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 15900T to 16000T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]

[/code]

150<=N<=159 is done for 6e12<k<2^47 (~140.7e12)
 

Attached.

MM127
 

[Thu Nov 29 05:17:03 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 15000T to 15100T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]
[Fri Nov 30 22:09:52 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 15100T to 15200T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]
[Sun Dec 02 15:19:25 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 15200T to 15300T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]
[Tue Dec 04 07:53:07 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 15300T to 15400T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]
[Thu Dec 06 00:29:46 2012]
UID: aketilander/OBD, no factor for MM127 in k range: 15400T to 15500T (182-bit factors) [mmff 0.26 mfaktc_barrett183_M127gs]