error in n last factor xxxxxxxxxxxxxxxxxx
==============

YES  *spooling.  *ram. sumryfact
Fri,23 Aug 2002.22:14:31
from program c24, (factor credit card nos.)

prob  #  ,  value,    FACTORS  ,  (centiseconds).
---   ---   ---   ---   ---   ---   ---   ---   ---   
2  1234467876..=123446787654321= 3*3*37*59*131*257*186629*all  7cs
3  1234567876..=123456787654321= squareof(11*73*101*137*all  2cs
4  1E16/61..=163934426229508.188= Accy?(2^2*11*2^2*3*3*2^2*2^2*73*593*149423*all  7cs
5  1639344262..=163934426229508= 2^2*11*3725782414307prime  3mn
6  n+210..=3725782414517= 29*263*488499071*all  97cs
7  n+210..=488499281= 488499281*all  93cs
8  n+210..=488499491= 661*739031*all  5cs
9  n+210..=488499701= 19727*24763*all  83cs
10  n+210..=488499911= 13619*35869*all  58cs
11  n+210..=488500121= 367*1331063*all  6cs
12  RND(606)*2..=2612099823453341= 13*17*401867*29411363prime  50s.
13  n1+2310..=2612099823455651= 2612099823455651? >46201^3 cofactor?  9s.
14  n1+2310..=2612099823457961= 3079*6551*8269*15661*all  1s.
15  n1+2310..=2612099823460271= 251*10406772205021prime  5mn
16  2^20+3..=1048579= 7*163*919*all  2cs
17  2^32+1..=4294967297= 641*6700417*all  20cs
18  2^64+1..=1.84467440737095516E19=   9s.
19  2^48+1..=281474976710657= 193*65537*22253377prime  20s.
20  2^49+1..=562949953421313= 3*43*4363953127297prime  3mn
21  2^50+1..=1125899906842625= 5*5*5*41*101*8101*268501*all  1s.
continu. 
22  2^51+1..=2251799813685249= 3*3*307*2857*6529*43691*all  78cs
23  1E16/7..=1428571428571428.5= Accy?(2^2*3*19*23*2^3*2*3*5*79*1049*13697*all  7cs
24  1428571428..=1428571428571428= 2^2*3*19*23*739*1187*310559*all  17cs
25  142857..=142857= 3*3*3*11*13*37*all  1cs
26  1E15-1..=999999999999999= 3*3*3*31*37*41*271*2906161*all  11cs
27  1E14-1..=99999999999999= 3*11*3*239*4649*909091*all  88cs
28  1E13-1..=9999999999999= 3*3*53*79*265371653*all  72cs
29  1E11-1..=99999999999= 3*3*21649*513239*all  4s.
30  1E17-1..=100000000000000000= Accy?(2^4*5*2^4*5*2^4*5*2^4*5*2*5*5*5*5*5*5*5*5*5*5*5*5*5*all  4cs
31  2^51.98546..=4458448605431390= 2*5*181*1613*1527111763*all  1s.

33  n1+1..=4458448605431391= 3*73*91081*223517669prime  23s.
34  n1+2..=4458448605431393= 19*397*311569*1897079prime  42s.
35  n1+2310..=4458448605433703= 47*857*4441*24924377*all  1s.
36  n1+2310..=4458448605436013= 167*4663*5725347853prime  21s.
37  1*2*34*444..=3021377= 3021377*all  8cs

39  RND(606)*2..=22262214404483=   1mn
40  RND(606)*2..=4177875569898241= 47*199357*445888379prime  32s.
41  RND(606)*2..=3799417925022821= 79*139*607*1447*393929*all  16cs
continu. 
42  RND(606)*2..=2745673109879747= 53*  50s.
43  619..=619= 619*all  1cs

45  RND(2^15.5..=2716223069961= 3*3*3*31*571*5683343*all  21cs
46  n*n+2..=32300387655651= 3*19*3*3*3*139*3163*47737*all  19cs
47  n*n+2..=22798623623921160= Accy?(squareof(3163*47737*all  15cs

50  RND(2^15.5..=10685901800430= 2*3*5*3*41*139*3733*5581*all  21cs
51  n*n+2..=434050264180131= 3*281*337*2297*665153*all  17cs
52  n*n+2..=2.3343453043051863E18= Accy?(squareof(2297*665153*all  11cs
53  RND(2^15.5..=15327387034596= 2^2*3*7*13*3*163*28703617*all  27cs
54  RND(2^15.5..=28114005513609= 3*3*3*1609*647146963*all  1s.
55  RND(2^15.5..=83829044041127= 7*11*19*43271*1324199*all  8s.
56  n*n+2..=1753502991603= 3*11*19*307*9109627*all  19cs
57  n*n+2..=82985304079131= 3*17*137*11877100913prime  24s.
contin. 

YES  *spooling.  *ram. sumryfact
Sat,24 Aug 2002.00:16:45
from program c24, (factor credit card nos.)

prob  #  ,  value,    FACTORS  ,  (centiseconds).
---   ---   ---   ---   ---   ---   ---   ---   ---   
2  2^prob-1..=3= 3*all?n  1cs
3  2^prob-1..=7= 7*all?n  1cs
4  2^prob-1..=15= 3*5*all?n  1cs
5  2^prob-1..=31= 31*all?n  1cs
6  2^prob-1..=63= 3*3*7*all?n  1cs
7  2^prob-1..=127= 127*all?n  1cs
8  2^prob-1..=255= 3*5*17*all?n  1cs
9  2^prob-1..=511= 7*73*all?n  1cs
10  2^prob-1..=1023= 3*11*31*all?n  1cs
11  2^prob-1..=2047= 23*89*all?n  1cs
12  2^prob-1..=4095= 3*3*5*7*13*all?n  2cs
13  2^prob-1..=8191= 8191*all?n  2cs
14  2^prob-1..=16383= 3*43*127*all?n  2cs
15  2^prob-1..=32767= 7*31*151*all?n  2cs
16  2^prob-1..=65535= 3*5*17*257*all?n  2cs
17  2^prob-1..=131071= 131071*all?n  3cs
18  2^prob-1..=262143= 3*3*3*7*19*73*all?n  2cs
19  2^prob-1..=524287= 524287*all?n  5cs
20  2^prob-1..=1048575= 3*5*5*11*31*41*all?n  2cs
21  2^prob-1..=2097151= 7*7*127*337*all?n  2cs
continu. 
22  2^prob-1..=4194303= 3*23*89*683*all?n  2cs
23  2^prob-1..=8388607= 47*178481*all?n  3cs
24  2^prob-1..=16777215= 3*3*5*7*13*17*241*all?n  2cs
25  2^prob-1..=33554431= 31*601*1801*all?n  4cs
26  2^prob-1..=67108863= 3*2731*8191*all?n  15cs
27  2^prob-1..=134217727= 7*73*262657*all?n  4cs
28  2^prob-1..=268435455= 3*5*29*43*113*127*all?n  2cs
29  2^prob-1..=536870911= 233*1103*2089*all?n  7cs
30  2^prob-1..=1073741823= 3*3*7*11*31*151*331*all?n  2cs
31  2^prob-1..=2147483647= 2147483647*all?n  2s.
32  2^prob-1..=4294967295= 3*5*17*257*65537*all  4cs
33  2^prob-1..=8589934591= 7*23*89*599479*all  6cs
34  n..=599479= 599479*all?n  5cs
35  2^prob-1..=34359738367= 31*71*127*122921*all  5cs
36  2^prob-1..=68719476735= 3*5*7*13*19*3*3*37*73*109*all  3cs
37  2^prob-1..=137438953471= 223*616318177*all  1s.
38  2^prob-1..=274877906943= 3*174763*524287prime  31s.
39  n..=524287= 524287*all?n  5cs
40  2^prob-1..=1099511627775= 3*5*11*17*5*31*41*61681*all  4cs
41  2^prob-1..=2199023255551= 13367*164511353*all  3s.
continu. 
42  n..=164511353= 164511353*all?n  64cs
43  2^prob-1..=8796093022207= 431*9719*2099863*all  2s.
44  n..=2099863= 2099863*all?n  8cs
45  2^prob-1..=35184372088831= 7*31*73*151*631*23311*all  9cs
46  2^prob-1..=70368744177663= 3*47*178481*2796203prime  31s.
47  2^prob-1..=140737488355327= 2351*4513*13264529*all  1s.
48  n..=13264529= 13264529*all?n  19cs
49  2^prob-1..=562949953421311= 127*4432676798593prime  3mn
50  n..=4432676798593=   6s.
51  3^32..=1853020188851841= squareof(3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*all?n  2cs
52  n..=43046721= squareof(3*3*3*3*3*3*3*3*all?n  2cs
53  n..=6561= squareof(3*3*3*3*all?n  1cs
54  n..=81= squareof(3*3*all?n  1cs
55  n..=9= squareof(3*all?n  1cs
56  n..=3= 3*all?n  1cs
57  49..=49= squareof(7*all?n  1cs
58  n..=7= 7*all?n  1cs
59  n..=7= 7*all?n  18s.
60  n..=7= 7*all?n  23s.
61  n..=7= 7*all?n  25s.
continu. 
62  P%(prob-40..=9411= 3*3137*all?n  2cs
63  P%(prob-40..=10203= 3*19*179*all?n  2cs
64  P%(prob-40..=10611= 3*3*3*3*131*all?n  2cs
65  P%(prob-40..=11451= 3*11*347*all?n  2cs
66  P%(prob-40..=11883= 3*17*233*all?n  2cs
67  P%(prob-40..=12771= 3*3*3*11*43*all?n  2cs
68  P%(prob-40..=14643= 3*3*1627*all?n  2cs
69  P%(prob-40..=16131= 3*19*283*all?n  2cs
70  P%(prob-40..=17163= 3*3*1907*all?n  2cs
71  P%(prob-40..=18771= 3*6257*all?n  2cs
72  P%(prob-40..=19323= 3*3*19*113*all?n  2cs
73  P%(prob-40..=20451= 3*17*401*all?n  1cs
74  P%(prob-40..=22203= 3*3*2467*all?n  2cs
75  P%(prob-40..=22803= 3*11*691*all?n  2cs
76  P%(prob-40..=24651= 3*3*3*11*83*all?n  2cs
77  P%(prob-40..=26571= 3*17*521*all?n  2cs
78  P%(prob-40..=27891= 3*3*3*1033*all?n  2cs
79  n*n..=777907881= squareof(3*3*3*1033*all?n  2cs
80  n..=27891= 3*3*3*1033*all?n  1cs
81  n..=27891= 3*3*3*1033*all?n  2cs
continu. 
contin.

*  bug?  until false.


problem # =82.   * = 27891  Repeat n1.

n..=27891= 3*3*3*1033*all?n
  Time speed,  sec = 158.659999999999997
>>82  n..=27891= 3*3*3*1033*all?n  2mn

factor no. expression     0, q.uit. +, datum   h,  help  *, display

PLEASE ENTER) numeric expression/no. 
n,n1,d (may refer to last factor n/test n1/ or Datum, d)
 e.g. n1+30.   r.andom test =r,  or
<CR>,  very easy (a)gain,  repeat similar formula.?

Unknown or missing variable at erl. 1402
problem # =83.   * = 27891  Repeat n1.

n..=27891= 3*3*3*1033*all?n
  Time speed,  sec = 160.680000000000007
>>83  n..=27891= 3*3*3*1033*all?n  2mn

factor no. expression     0, q.uit. +, datum   h,  help  *, display

PLEASE ENTER) numeric expression/no. 
n,n1,d (may refer to last factor n/test n1/ or Datum, d)
 e.g. n1+30.   r.andom test =r,  or
<CR>,  very easy (a)gain,  repeat similar formula.?n1
n1 = 2.789E4    ****
n1 = 27891 ****
REM last factor       1033

 complete.procsimple 2020. at erl. 2020
problem # =84.   n1 = 27891  Repeat n1.

n1..=27891= 3*3*3*1033*all?n
  Time speed,  sec = 0.02

>>84  n1..=27891= 3*3*3*1033*all?n  2cs

factor no. expression     0, q.uit. +, datum   h,  help  *, display

PLEASE ENTER) numeric expression/no. 
n,n1,d (may refer to last factor n/test n1/ or Datum, d)
 e.g. n1+30.   r.andom test =r,  or
<CR>,  very easy (a)gain,  repeat similar formula.?n
n = 2.789E4    ****
n = 27891 ****
REM last factor       1033

 complete.procsimple 2020. at erl. 2020
problem # =85.   n = 27891  Repeat n1.

n..=27891= 3*3*3*1033*all?n
  Time speed,  sec = 0.02

>>85  n..=27891= 3*3*3*1033*all?n  2cs

factor no. expression     0, q.uit. +, datum   h,  help  *, display

PLEASE ENTER) numeric expression/no. 
n,n1,d (may refer to last factor n/test n1/ or Datum, d)
 e.g. n1+30.   r.andom test =r,  or
<CR>,  very easy (a)gain,  repeat similar formula.?0
enter = close ,  or <ESC> resume.?
e n d. close *spool

