This is a continuation of the previous post on b-numbers.
===
For a b-number ‘x’ in the range 4096 to 8191 (13 bit length),
it appears at first glance that, modulo 4096,
x == y (mod 4096), where y is a b-number in
the range 1-4095;
Details:
k up to 4095:
5 // term 1
13
21
29
37
45
53
61
77
85 // term 10
93
101
109
117
125
149
173
181
189
205
213
221
229
237 x
245
253
309
341
365
373
381
405
429
437 x
445
461
469
477
485
493 x
501
509
629
693
725
749
757
765
821
853 // term 50
877
885
893
917
941
949
957
973
981
989
997
1005
1013
1021
1205
1237
1261
1277
1397
1461
1493
1517
1525
1533
1653
1717
1749
1773
1781
1789
1845
1877
1901
1909
1917
1941
1965
1973
1981
1997
2005
2013
2021
2029
2037
2045
2229
2285
2485 /
2517 // term 100
2541
2557
2741
2773
2797
2813
2933
2997
3029
3053
3061
3069
3253
3285
3309
3325
3445
3509
3541
3565
3573
3581
3701
3765
3797
3821
3829
3837
3893
3925 // t. 130
3949
3957
3965
3989
4013
4021
4029
4045
4053
4061 // term 140
4069
4077
4085
4093 // term 144
k from 4096 to 8191, modulo 4096
237 // b-number term number 145, modulo 4096
437
493
725
765
885
1013
1205
1261
1461
1493
1517
1533
1717
1749
1773
1789
1909
1973
2005
2029
2037
2045
2229
2285
2485
2517
2541
2557
2741
2773
2797
2813
2933
2997
3029
3053
3061
3069
3253
3285
3309
3325
3445
3509
3541
3565
3573
3581
3701
3765
3797
3821
3829
3837
3893
3925
3949
3957
3965
3989
4013
4021
4029
4045
4053
4061
4069
4077
4085
4093
