
(factor credit card numbers.  **continued fraction? method  2^52=4.5E15)
(higher filtering of primes. ?? prog c24.  6-2-2003.)
limits 46337*46349*46351 o.k.

my file > *ram.sumryfact.creditcd1..  Fri,07 Feb 2003.22:24:17
by don.mcdonald.pgm.c22Bc. BBC Basic64.Risc os.Acorn Archimedes comp 1990.

== LETTER values : C,A,T = 03,01,20. (BASE 100, Altern. base 27, keypad)
(prob) -- #formula,--  value, --   FACTORS -- ,  (centiseconds).
---   
2  46337*46349*46351   ..=99546819636163= 46337*46349*46351prime 13s.
3  2^47-1..=140737488355327= 2351*4513*13264529*all 1s.
4  2^43-1..=8796093022207= 431*9719*2099863*all 1s.
5  2^41-1..=2199023255551= 13367*164511353*all 3s.
6  n-13367..=164497986= 2*3*3*3*41*191*389*all 6cs
7  n-13367..=164497986= 2*3*3*3*41*191*389*all 28s.
8  2^37+1..=137438953473= 3*1777*25781083*all 60cs
9  2^prob-1..=511= 7*73*all 5cs
10  2^prob-1..=1023= 3*11*31*all 6cs
11  2^prob-1..=2047= 23*89*all 5cs

12  2^prob-1..=4095= 3*3*5*7*13*all 6cs
13  2^prob-1..=8191= 8191*all 6cs
14  2^prob-1..=16383= 3*43*127*all 6cs
15  2^prob-1..=32767= 7*31*151*all 6cs
16  2^prob-1..=65535= 3*5*17*257*all 6cs
17  2^prob-1..=131071= 131071*all 7cs
18  2^prob-1..=262143= 3*3*3*7*19*73*all 6cs
19  2^prob-1..=524287= 524287*all 9cs
20  2^prob-1..=1048575= 3*5*5*11*31*41*all 6cs
21  2^prob-1..=2097151= 7*7*127*337*all 6cs
22  2^prob-1..=4194303= 3*23*89*683*all 6cs
23  2^prob-1..=8388607= 47*178481*all 8cs
24  2^prob-1..=16777215= 3*3*5*7*13*17*241*all 6cs
25  2^prob-1..=33554431= 31*601*1801*all 8cs
26  2^prob-1..=67108863= 3*2731*8191*all 20cs
27  2^prob-1..=134217727= 7*73*262657*all 8cs
28  2^prob-1..=268435455= 3*5*29*43*113*127*all 6cs
29  2^prob-1..=536870911= 233*1103*2089*all 11cs
30  2^prob-1..=1073741823= 3*3*7*11*31*151*331*all 6cs
31  2^prob-1..=2147483647= 2147483647*all 2s.

32  2^prob-1..=4294967295= 3*5*17*257*65537*all 8cs
33  2^prob-1..=8589934591= 7*23*89*599479*all 11cs
34  2^prob-1..=17179869183= 3*5726623061prime 15s.
35  2^prob-1..=34359738367= 31*71*127*122921*all 9cs
36  2^prob-1..=68719476735= 3*5*7*13*19*3*3*37*73*109*all 8cs
37  2^prob-1..=137438953471= 223*616318177*all 1s.
38  2^prob-1..=274877906943= 3*174763*524287prime 24s.
39  2^prob-1..=549755813887= 7*79*8191*121369*all 51cs
40  2^prob-1..=1099511627775= 3*5*11*17*5*31*41*61681*all 8cs
41  2^prob-1..=2199023255551= 13367*164511353*all 3s.
42  2^prob-1..=4398046511103= 3*7*3*7*43*127*337*5419*all 11cs
43  2^prob-1..=8796093022207= 431*9719*2099863*all 1s.
44  2^prob-1..=17592186044415= 3*5*23*89*397*683*2113*all 13cs
45  2^prob-1..=35184372088831= 7*31*73*151*631*23311*all 14cs
46  2^prob-1..=70368744177663= 3*47*178481*2796203prime 24s.
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 11cs
49  2^prob-1..=562949953421311= 127*4432676798593prime 3mn

50  3^33..=5559060566555523= Accy?(3th powof(11th powof(3*all 2cs
51  n1+2..=5559060566555525= Accy?(5*5*222362422662221? >46201^3 cofactor? 7s.

52  n1+2..=5559060566555527= Accy?(31*43*4170338009419prime 3mn
53  n1+2..=5559060566555529= Accy?(3*11*139*1211916408667prime 1mn
54  n1+2..=5559060566555531= Accy?(7*25307*31380705319prime 24s.
55  n1+2..=5559060566555533= Accy?(8663*641701554491prime 1mn
56  n1+2..=5559060566555535= Accy?(3*5*13*1213*2729*8611969*all 67cs
57  n1+2..=5559060566555537= Accy?(17*53*157*1669*23546189*all 58cs
58  n1+2..=5559060566555539= Accy?(811* 17s.
59  n1+2..=5559060566555541= Accy?(3*3*29*29*734451125189prime 1mn

60  1E6..=1000000= squareof(3th powof(2*5*all 6cs
62  n1+1..=1000001= 101*9901*all 6cs
63  n1+1..=1000002= 2*3*166667*all 8cs
64  n1+1..=1000003= 1000003*all 11cs

65  641*n1^2..=641003846005769= 641*1000003*1000003prime 1mn
66  9E6..=9000000= squareof(2^3*3*5*5*5*all 6cs
67  n1+1..=9000001= 61*147541*all 8cs
68  n1+2..=9000003= 3*853*3517*all 10cs
69  n1+2..=9000005= 5*7*29*8867*all 6cs
70  n1+2..=9000007= 277*32491*all 7cs
71  n1+2..=9000009= 3*3*101*9901*all 6cs

72  n1+2..=9000011= 9000011*all 21cs
73  n1^2..=81000198000121= squareof(9000011*all 22cs
74  n1*3..=243000594000363= 3* 1mn

75  9.9E6..=9900000= 2^5*3*3*5*5*5*5*5*11*all 6cs
76  n1+1..=9900001= 17*449*1297*all 8cs
77  n1+2..=9900003= 3*3300001*all 15cs
78  n1+2..=9900005= 5*23*31*2777*all 6cs
79  n1+2..=9900007= 13*19*149*269*all 6cs
80  n1+2..=9900009= 3*3*3*7*7*7*1069*all 6cs
81  n1+2..=9900011= 11*900001*all 10cs
82  n1+2..=9900013= 151*65563*all 7cs
83  n1+2..=9900015= 3*5*660001*all 10cs
84  n1+2..=9900017= 827*11971*all 10cs
85  n1+2..=9900019= 43*230233*all 8cs
86  n1+2..=9900021= 3*3300007*all 15cs
87  n1+2..=9900023= 7*59*23971*all 6cs
88  n1+2..=9900025= 5*5*396001*all 9cs
89  n1+2..=9900027= 3*3*71*15493*all 6cs
90  n1+2..=9900029= 53*186793*all 8cs
91  n1+2..=9900031= 127*137*569*all 6cs

92  n1+2..=9900033= 3*11*13*47*491*all 6cs
93  n1+2..=9900035= 5*17*116471*all 7cs
94  n1+2..=9900037= 7*1414291*all 11cs
95  n1+2..=9900039= 3*241*13693*all 7cs
96  n1+2..=9900041= 73*135617*all 7cs
97  n1+2..=9900043= 79*113*1109*all 6cs
98  n1+2..=9900045= 3*3*5*19*11579*all 6cs
99  n1+2..=9900047= 9900047*all 21cs
100  n1^2..=98010930602209= squareof(9900047*all 22cs
101  5*n1..=490054653011045= 5*9900047*9900047prime 14mn

problem # =102.   * = 9900047  Repeat n1.

5*n1..=490054653011045= 5*9900047*9900047prime
  Time speed,  sec = 918.019999999999982
>>102  5*n1..=490054653011045= 5*9900047*9900047prime 15mn

factor no. expr.  0, q.uit. +, datum  *, good summary reslts  h, help xx? poor

PLEASE ENTER)  numeric expression/no.,
 or  C= 8xCAP letr word(base 100, Z base 27) Ppt= teleph keypad 
n,n1,d (may refer to last factor n/test n1/ or Datum, d)
 e.g. n1+30.  p()=previous prob/ value , P%() prime , R%() primorial.
r.andom test =r,  or
<CR>,  very easy (a)gain,  repeat similar formula.?0
enter = close ,  or <ESC> resume.?
e n d. close *spool
