2p53error
============
24.08.02  17:29
don.mcdonald.

YES  *spooling.  *ram. sumryfact
Sat,24 Aug 2002.22:05:50
from program c24, (factor credit card nos.)


fixed several bugs. XXXXXXXX

prob  #  ,  value,    FACTORS  ,  (centiseconds).
---   ---   ---   ---   ---   ---   ---   ---   ---   
2  3521081325..loto 6+bonus
=35,21,08,13,25,02,14= 2*7*43*58489723007prime  37s.
3  790 draw l..=790= 2*5*79*all?n  1cs
4  240802 dd-..mm-yy=24/08/02= 2*120401*all?n  3cs
5  20020824 y..=20020824= 2^3*3*3*3*59*1571*all?n  2cs
factor 6-cubed.

6  2^52..=4503599627370496= Accy?(squareof(squareof(2^13*all?n  1cs
7  2^53..=9007199254740992= Accy?(2^53*  1cs
8  2^54..=18014398509481984= Accy?(squareof(2^27*all?n  1cs
9  2^55..=36028797018963968= Accy?(2^55.0000000000000071*  1cs
10  2^prob-1..=1023= 3*11*31*all?n  1cs
11  2^prob-1..=2047= 23*89*all?n  2cs
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  4cs
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  5cs
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  3cs
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  2^prob-1..=17179869183= 3*43691*131071*all  8s.
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  2^prob-1..=549755813887= 7*79*8191*121369*all  46cs
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  67cs
43  2^prob-1..=8796093022207= 431*9719*2099863*all  2s.
44  2^prob-1..=17592186044415= 3*5*23*89*397*683*2113*all  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  2^prob-1..=281474976710655= 3*5*7*13*17*3*97*241*257*673*all  6cs
49  2^prob-1..=562949953421311= 127*  26s.
50  2^prob-1..=1125899906842623= 3*11*31*251*601*1801*4051*all  21cs
51  2^prob-1..=2251799813685247= 7*103*2143*11119*131071*all  96cs
52  2^prob-1..=4503599627370495= 3*5*53*157*1613*2731*8191*all  41cs
53  2^prob-1..=9007199254740991= Accy?(3*2*2*2*31*2*2*2*2*2^4*11*2^2*5*5*17*41*61681*all  25cs
54  2^prob-1..=18014398509481984= Accy?(squareof(2^27*all?n  1cs
55  2^prob-1..=36028797018963968= Accy?(2^55.0000000000000071*  1cs
56  2^prob-1..=72057594037927936= Accy?(squareof(squareof(squareof(2^7*all?n  1cs
57  2^prob-1..=144115188075855872= Accy?(2^57*  1cs
58  2^prob-1..=288230376151711744= Accy?(squareof(2^29*all?n  1cs
59  2^prob-1..=576460752303423488= Accy?(2^59.0000000000000071*  1cs
60  2^prob-1..=1.15292150460684698E18= Accy?(squareof(squareof(2^15*all?n  1cs
61  2^prob-1..=2.30584300921369395E18= Accy?(2^61*  1cs
continu. 
62  2^prob-1..=4.6116860184273879E18=   8s.
63  2^prob-1..=9.22337203685477581E18=   24s.
64  3^(prob-40..=282429536480= 2^4*5*7*13*2*41*73*6481*all  3cs
65  3^(prob-40..=847288609442= 2*11*11*8951*391151*all  1s.
66  3^(prob-40..=2541865828328= 2^3*398581*797161prime  50s.
67  3^(prob-40..=7625597484986= 2*13*109*433*757*8209*all  13cs
68  3^(prob-40..=22876792454960= 2^4*5*29*547*1093*16493*all  16cs
69  3^(prob-40..=68630377364882= 2*59*28537*20381027*all  6s.
70  3^(prob-40..=205891132094648= 2^3*7*11*13*11*31*61*271*4561*all  6cs
71  3^(prob-40..=617673396283946= 2*683*102673*4404047prime  24s.
72  3^(prob-40..=1853020188851840= 2^4*5*17*2^3*41*193*21523361*all  30cs
73  3^(prob-40..=5559060566555522= Accy?(2*13*23*3851*2413941289prime  19s.
74  3^(prob-40..=16677181699666568= Accy?(squareof(3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*all?n  2cs
75  3^(prob-40..=50031545098999704= Accy?(2^3*3*103*307*1021*1871*34511*all  26cs
76  3^(prob-40..=150094635296999136= Accy?(squareof(squareof(3*3*3*3*3*3*3*3*3*all?n  2cs
77  (10^prob-7..=1.11111111111111111E76=   30s.
78  (10^(prob-..=11111111= 11*73*101*137*all?n  2cs
79  (10^(prob-..=111111111= 3*3*37*333667*all?n  5cs
80  (10^(prob-..=1111111111= 11*41*271*9091*all?n  3cs
81  (10^(prob-..=11111111111= 21649*513239*all  4s.
continu. 
82  (10^(prob-..=111111111111= 3*7*11*13*37*101*9901*all  3cs
83  (10^(prob-..=1111111111111= 53*79*265371653*all  87cs
84  (10^(prob-..=11111111111111= 11*239*4649*909091*all  92cs
85  (10^(prob-..=111111111111111= 3*31*37*41*271*2906161*all  12cs
86  (10^(prob-..=1111111111111111.13= Accy?(2^3*2^3*3*2*2*2^2*3*5*7*67*2^2*3*347*12347*all  7cs
87  (10^(prob-..=11111111111111112= Accy?(2^3*3*3*3*2309*22278185023prime  28s.
contin. 

*  bug?  until false.


problem # =88.   * = 22278185023  Repeat n1.

(10^(prob-..=11111111111111112= Accy?(2^3*3*3*3*2309*22278185023prime
  Time speed,  sec = 283.110000000000014
>>88  (10^(prob-..=11111111111111112= Accy?(2^3*3*3*3*2309*22278185023prime  4mn

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




YES  *spooling.  *ram. sumryfact
Sat,24 Aug 2002.17:18:45
from program c24, (factor credit card nos.)

prob  #  ,  value,    FACTORS  ,  (centiseconds).
---   ---   ---   ---   ---   ---   ---   ---   ---   
2  2^48+1  ex..=281474976710657= 193*65537*22253377prime  21s.
3  n..=22253377= 22253377*all?n  25cs
4  n*n+2..=495212787904131= 3*11*3*587*33851*251737*all  6s.
5  n*n+2..=63371517171= 3*19*1111781003*all  1s.
6  n*n+2..=1.23605699863168589E18= Accy?(squareof(1111781003*all?n  1s.
7  3^32..=1853020188851841= squareof(squareof(squareof(squareof(squareof(3*all?n  2cs
8  P%(prob)^2..=963= 3*3*107*all?n  2cs  2*Pr8^2+2 ?
9  P%(prob)^2..=1371= 3*457*all?n  1cs
10  P%(prob)^2..=1683= 3*3*11*17*all?n  1cs
11  P%(prob)^2..=1851= 3*617*all?n  1cs
12  P%(prob)^2..=2211= 3*11*67*all?n  1cs
13  P%(prob)^2..=2811= 3*937*all?n  2cs
14  P%(prob)^2..=3483= 3*3*3*3*43*all?n  1cs
15  P%(prob)^2..=3723= 3*17*73*all?n  1cs
16  P%(prob)^2..=4491= 3*3*499*all?n  2cs
17  P%(prob)^2..=5043= 3*41*41*all?n  1cs
18  P%(prob)^2..=5331= 3*1777*all?n  2cs
19  P%(prob)^2..=6243= 3*2081*all?n  2cs
20  P%(prob)^2..=6891= 3*2297*all?n  2cs
21  P%(prob)^2..=7923= 3*19*139*all?n  1cs
continu. 
22  P%(prob)^2..=9411= 3*3137*all?n  2cs
23  P%(prob)^2..=10203= 3*19*179*all?n  2cs
24  P%(prob)^2..=10611= 3*3*3*3*131*all?n  1cs
25  P%(prob)^2..=11451= 3*11*347*all?n  1cs
26  P%(prob)^2..=11883= 3*17*233*all?n  2cs
27  P%(prob)^2..=12771= 3*3*3*11*43*all?n  1cs
28  P%(prob)^2..=14643= 3*3*1627*all?n  2cs
29  P%(prob)^2..=16131= 3*19*283*all?n  2cs
30  P%(prob)^2..=17163= 3*3*1907*all?n  2cs
31  P%(prob)^2..=18771= 3*6257*all?n  2cs
32  P%(prob)^2..=19323= 3*3*19*113*all?n  2cs
33  P%(prob)^2..=20451= 3*17*401*all?n  1cs
34  P%(prob)^2..=22203= 3*3*2467*all?n  2cs
35  P%(prob)^2..=22803= 3*11*691*all?n  2cs
36  P%(prob)^2..=24651= 3*3*3*11*83*all?n  2cs
37  P%(prob)^2..=26571= 3*17*521*all?n  1cs
38  P%(prob)^2..=27891= 3*3*3*1033*all?n  2cs
39  P%(prob)^2..=28563= 3*9521*all?n  2cs
40  P%(prob)^2..=29931= 3*11*907*all?n  2cs
41  P%(prob)^2..=32043= 3*11*971*all?n  2cs
continu. 
42  P%(prob)^2..=32763= 3*67*163*all?n  2cs
43  P%(prob)^2..=34971= 3*11657*all?n  2cs
44  P%(prob)^2..=36483= 3*12161*all?n  2cs
45  P%(prob)^2..=37251= 3*3*4139*all?n  2cs
46  P%(prob)^2..=38811= 3*17*761*all?n  2cs
47  P%(prob)^2..=39603= 3*43*307*all?n  2cs
48  P%(prob)^2..=43683= 3*14561*all?n  2cs
49  P%(prob)^2..=44523= 3*3*3*17*97*all?n  2cs
50  P%(prob)^2..=48843= 3*3*3*3*3*3*67*all?n  2cs
51  P%(prob)^2..=49731= 3*11*11*137*all?n  2cs
52  P%(prob)^2..=51531= 3*89*193*all?n  2cs
53  P%(prob)^2..=52443= 3*3*5827*all?n  2cs
54  P%(prob)^2..=54291= 3*18097*all?n  2cs
55  P%(prob)^2..=57123= 3*3*11*577*all?n  2cs
56  P%(prob)^2..=58083= 3*19*1019*all?n  2cs
57  P%(prob)^2..=58083= 3*19*1019*all?n  8cs

101  P%(prob)^2..=58083= 3*19*1019*all?n  8s.
continu. 
102  P%(prob)^2..=58083= 3*19*1019*all?n  8s.
103  n..=1019= 1019*all?n  1cs
104  n..=1019= 1019*all?n  1mn
105  2^(prob-10..=31= 31*all?n  2cs      Mersenne numbers.  2^n-1.
106  2^(prob-10..=63= 3*3*7*all?n  2cs
107  2^(prob-10..=127= 127*all?n  2cs
108  2^(prob-10..=255= 3*5*17*all?n  2cs
109  2^(prob-10..=511= 7*73*all?n  2cs
110  2^(prob-10..=1023= 3*11*31*all?n  2cs
111  2^(prob-10..=2047= 23*89*all?n  2cs
112  2^(prob-10..=4095= 3*3*5*7*13*all?n  2cs
113  2^(prob-10..=8191= 8191*all?n  2cs
114  2^(prob-10..=16383= 3*43*127*all?n  2cs
115  2^(prob-10..=32767= 7*31*151*all?n  2cs
116  2^(prob-10..=65535= 3*5*17*257*all?n  2cs
117  2^(prob-10..=131071= 131071*all?n  4cs
118  2^(prob-10..=262143= 3*3*3*7*19*73*all?n  2cs
119  2^(prob-10..=524287= 524287*all?n  6cs
120  2^(prob-10..=1048575= 3*5*5*11*31*41*all?n  2cs
121  2^(prob-10..=2097151= 7*7*127*337*all?n  3cs
continu. 
122  2^(prob-10..=4194303= 3*23*89*683*all?n  2cs
123  2^(prob-10..=8388607= 47*178481*all?n  4cs
124  2^(prob-10..=16777215= 3*3*5*7*13*17*241*all?n  2cs
125  2^(prob-10..=33554431= 31*601*1801*all?n  5cs
126  2^(prob-10..=67108863= 3*2731*8191*all?n  16cs
127  2^(prob-10..=134217727= 7*73*262657*all?n  5cs
128  2^(prob-10..=268435455= 3*5*29*43*113*127*all?n  3cs
129  2^(prob-10..=536870911= 233*1103*2089*all?n  8cs
130  2^(prob-10..=1073741823= 3*3*7*11*31*151*331*all?n  3cs
131  2^(prob-10..=2147483647= 2147483647*all?n  2s.
132  2^(prob-10..=4294967295= 3*5*17*257*65537*all  4cs
133  2^(prob-10..=8589934591= 7*23*89*599479*all  7cs
134  2^(prob-10..=17179869183= 3*43691*131071*all  8s.
135  2^(prob-10..=34359738367= 31*71*127*122921*all  5cs
136  2^(prob-10..=68719476735= 3*5*7*13*19*3*3*37*73*109*all  4cs
137  2^(prob-10..=137438953471= 223*616318177*all  1s.
138  2^(prob-10..=274877906943= 3*174763*524287prime  30s.
139  2^(prob-10..=549755813887= 7*79*8191*121369*all  47cs
140  2^(prob-10..=1099511627775= 3*5*11*17*5*31*41*61681*all  5cs
141  2^(prob-10..=2199023255551= 13367*164511353*all  3s.
continu. 
142  2^(prob-10..=4398046511103= 3*7*3*7*43*127*337*5419*all  6cs
143  2^(prob-10..=8796093022207= 431*9719*2099863*all  2s.
144  2^(prob-10..=17592186044415= 3*5*23*89*397*683*2113*all  8cs
145  2^(prob-10..=35184372088831= 7*31*73*151*631*23311*all  10cs
146  2^(prob-10..=70368744177663= 3*47*178481*2796203prime  31s.
147  2^(prob-10..=140737488355327= 2351*4513*13264529*all  1s.
148  2^(prob-10..=281474976710655= 3*5*7*13*17*3*97*241*257*673*all  7cs
149  2^(prob-10..=562949953421311= 127*4432676798593prime  3mn
150  n..=4432676798593=   2s.
151  2^(prob-10..=562949953421311= 127*  3s.
152  2^(prob-10..=1125899906842623= 3*11*31*251*601*1801*4051*all  22cs
153  2^(prob-10..=2251799813685247= 7*103*2143*11119*131071*all  96cs
154  2^(prob-10..=4503599627370495= 3*5*53*157*1613*2731*8191*all  42cs
155  2^(prob-10..=9007199254740991= unreliable xxxxx 2^53-1.xxx   3*2*2*2*31*2*2*2*2*2^4*11*2^2*5*5*17*41*61681*all  26cs
156  2^(prob-10..=18014398509481984= Accy?(squareof(2^27*all?n  1cs
157  2^53-1..=9007199254740991= unreliable xxx 3*2*2*2*31*2*2*2*2*2^4*11*2^2*5*5*17*41*61681*all  26cs
158  2^53-3..=9007199254740989= 5*2*2*2*2^2*2^2*2^2*23*3*2*2*2*2*2*2^3*11*18107899*all  35cs
159  2^55..=36028797018963968= Accy?(2^55.0000000000000071*  1cs
160  2^55+1..=36028797018963968= Accy?(2^55.0000000000000071*  1cs
contin. 

*  bug?  until false.


problem # =161.   * = 36028797018963968  Repeat n1.

2^55+1..=36028797018963968= Accy?(2^55.0000000000000071*
  Time speed,  sec = 80.7600000000000051
>>161  2^55+1..=36028797018963968= Accy?(2^55.0000000000000071*  1mn

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
