18e5x15e6

========

(factor credit card numbers.  **continued fraction? method  2^52=4.5E15)

(higher filtering of primes. ?? prog c24. c22Byte 13-2-2003.)

limits 60013*60013*60017 bugs.  3^33+30 etc. = 3*47*549167*71792299.


my file > *ram.sumryfact.creditcd1..  Mon,24 Feb 2003.00:02:42

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  60013*60013*60017   ..=216154836662873= 60013*60013*60017*all 20s.

3  R%(K%)..=2147445179= 11*3253*60013*all 25cs

4  RND(606)*2*3*5*7*11*..=4311448856324713= 131*499*79601*828577prime 27s.

5  RND(606)*2*3*5*7*11*..=4496967309694963= 233*204161*94534651prime 36s.

6  RND(606)*2*3*5*7*11*..=3532271352169589= 29* 1mn

7  3^33..=5559060566555523= Accy?(3th powof(11th powof(3*all 3cs

8  n1+30..=5559060566555553= Accy?(3*47*549167*71792299prime 1mn

9  60059..=60059= 19*29*109*all 4cs

10  n1-2..=60057= 3*3*6673*all 4cs

11  n1-2..=60055= 5*12011*all 4cs

continu.

12  n1-2..=60053= 7*23*373*all 4cs

13  n1-2..=60051= 3*37*541*all 4cs

14  n1-2..=60049= 11*53*103*all 4cs

15  n1-2..=60047= 13*31*149*all 4cs

16  n1-2..=60045= 3*5*4003*all 4cs

17  n1-2..=60043= 97*619*all 4cs

18  n1-2..=60041= 60041*all 5cs

19  n1-2..=60039= 3*3*7*953*all 4cs

20  n1-2..=60037= 60037*all 5cs

21  n1*p(18)^2..=216428682962197= 60037*60041*60041*all 20s.

22  n..=60041= 60041*all 5cs

23  n1+2..=60043= 97*619*all 4cs

24  n1+2..=60045= 3*5*4003*all 4cs

25  n1+2..=60047= 13*31*149*all 4cs

26  n1+2..=60049= 11*53*103*all 4cs

27  n1+2..=60051= 3*37*541*all 4cs

28  n1+2..=60053= 7*23*373*all 4cs

29  n1+2..=60055= 5*12011*all 4cs

30  n1+2..=60057= 3*3*6673*all 4cs

31  n1+2..=60059= 19*29*109*all 4cs

continu.

32  n1+2..=60061= 17*3533*all 4cs

33  n1+2..=60063= 3*20021*all 4cs

34  n1+2..=60065= 5*41*293*all 4cs

35  n1+2..=60067= 7*8581*all 4cs

36  n1+2..=60069= 3*20023*all 4cs

37  n1+2..=60071= 11*43*127*all 4cs

38  n1+2..=60073= 13*4621*all 4cs

39  n1+2..=60075= 3*3*3*5*5*89*all 4cs

40  n1+2..=60077= 60077*all 5cs

41  n1^2*p(22)..=216702734823089= 60041*60077*60077*1prime 25s.

42  RND(2^15.5)*RND(2^31..=80646998331984= 2^2*3*7*7*17*2^2*73*281*98327*all 13cs

43  RND(2^15.5)*RND(2^31..=25563022272720= 2^2*3*3*5*19*2^2*4091*456769*all 35cs

44  RND(2^15.5)*RND(2^31..=8645653873500= 2^2*3*5*5*7*5*23*83*181*2383*all 12cs

45  RND(2^15.5)*RND(2^31..=28315954688364= 2^2*3*3*7*3*43*59*14763487*all 34cs

46  RND(2^15.5)*RND(2^31..=702899940172= 2^2*23*47*59*509*5413*all 14cs

47  RND(2^15.5)*RND(2^31..=6794671455502= 2*7*7*17*103*163*242923*all 15cs

48  RND(2^15.5)*RND(2^31..=56986946195142= 2*3*71*307*435739981*all 1s.

49  RND(2^15.5)*RND(2^31..=19658738897879= 71*13171*21022219*all 3s.

50  RND(2^15.5)*RND(2^31..=23125814270139= 3*7*19*67*109*331*23977*all 13cs

51  RND(2^15.5)*RND(2^31..=27019453105263= 3*43*1039*8839*22807*all 81cs

continu.

52  RND(2^15.5)*RND(2^31..=29261785334030= 2*5*107*131*433*482123*all 17cs

53  RND(2^15.5)*RND(2^31..=59373839551540= 2^2*5*79*101*379*981697*all 19cs

54  RND(2^15.5)*RND(2^31..=28282074554608= 2^2*7*7*2^2*7*113*45605657*all 53cs

55  RND(2^15.5)*RND(2^31..=43678337603586= 2*3*7*167*761*829*9871*all 30cs

56  RND(2^15.5)*RND(2^31..=40500524624868= 2^2*3*3*7*11*1861*7850929*all 66cs

57  RND(2^15.5)*RND(2^31..=14299325400330= 2*3*3*5*397*2699*148279*all 33cs

58  RND(2^15.5)*RND(2^31..=36109192232883= 3*7*7*11*59*378491161*all 1s.

59  RND(2^15.5)*RND(2^31..=5543913806802= 2*3*3*7*7*7*7*41*3128729*all 21cs

60  RND(2^15.5)*RND(2^31..=22415202164043= 3*3*13*71*73*103*383*937*all 15cs

61  RND(2^15.5)*RND(2^31..=20256148034944= 2^2*2^2*2^2*2*241*656643803*all 1s.

62  RND(606)*2*3*5*7*11*..=430402811819039= 97*103*43079052329prime 39s.

63  RND(606)*2*3*5*7*11*..=363616168605743= 12959*28058968177prime 34s.

64  RND(606)*2*3*5*7*11*..=3020240420867777= 13241*228097607497prime 58s.

65  RND(606)*2*3*5*7*11*..=3717789805539967= 79*401*1033*113609081*all 93cs

66  RND(606)*2*3*5*7*11*..=3799417925022817= 107*1883647*18850973prime 2mn

contin.


Summry. at erl. 1700

problem # =67.   * = 3799417925022817  Repeat n1.


RND(606)*2*3*5*7*11*..=3799417925022817= 107*1883647*18850973prime

  Time speed,  sec = 224.830000000000013

>>67  RND(606)*2*3*5*7*11*..=3799417925022817= 107*1883647*18850973prime 3mn


factor no. expr.  0, q.uit. +, datum  *, good summary reslts

  h, o help/ options   xx? poor


PLEASE ENTER)  numeric expression/no.,

?0

enter = close ,  or <ESC> resume.?

e n d. close *spool




(factor credit card numbers.  **continued fraction? method  2^52=4.5E15)

(higher filtering of primes. ?? prog c24. c241 c22Byte 24-2-2003.)

limits 60013*60013*60017 bugs.  3^33+30 etc. = 3*47*549167*71792299.


my file > *ram.sumryfact.creditcd1..  Mon,24 Feb 2003.00:26:05

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  60013*60013*60017   ..=216154836662873= 60013*60013*60017*all 20s.

3  n..=60017= 60017*all 5cs

***************7  n1+2..=60025= squ of(5*7*7*all 3cs

8  n1+2..=60027= 3*11*17*107*all 4cs

9  n1+2..=60029= 60029*all 5cs

10  n1^2*p(3)..=216270109634297= 60017*60029*60029*all 21s.

11  n..=60029= 60029*all 5cs

continu.

15  n1+2..=60037= 60037*all 5cs

16  n^2*p(11)..=216371010939701= 60029*60037*60037*all 21s.

17  n+2..=60039= 3*3*7*953*all 4cs

18  n1+2..=60041= 60041*all 5cs

19  n^2*p(15)..=216428682962197= 60037*60041*60041*all 21s.

20  n..=60041= 60041*all 5cs


38  n1+2..=60077= 60077*all 5cs

39  n^2*p(20)..=216702734823089= 60041*60077*60077*1prime 26s.

40  p(38)..=60077= 60077*all 5cs

41  n1+2..=60079= 73*823*all 4cs

42  n1+2..=60081= 3*7*2861*all 4cs

43  n1+2..=60083= 60083*all 5cs

44  n^2*p(38)..=216875980790453= 216875980790453? Gap 59999 >60061^3 cofactor? 21s.

45  "bug"(teleph kpd)..=284= 2^2*71*all 2cs

46  "computer"(teleph kp..=26678837= 3709*7193*all 27cs

47  "quantum computer"(t..=782688626678837= 421*1113617*1669441prime 1mn

48  "one minute good"(te..=6636468834663= 3*2677*826356473*all 2s.

PLEASE ENTER)  numeric expression/no.,

?0

enter = close ,  or <ESC> resume.?

e n d. prog c241  24.2.03**********   close *spool



11509  59977 11510  59981 ,11511  59987 11512  59989 11513  59993 11514  59999 ,2.14743976E9= 3621

11515  60001 11516  60007 11517  60013 ,11518  60017 ,2.14744518E9= 3623

11519  60019 11520  60023 11521  60029 ,11522  60031 11523  60037 ,2.14747745E9= 3625

11524  60041 ,11525  60043 11526  60059 BUG?5515cs? ,2.14742641E9= 3627


query later yes MAT or INDIRECTION

 P%>2*13#  R%(K%)??60059  3627  2.14742641E9

Not XXX YES to worry about primes/ so long as co-prime.


3627  Primorials order 2.14742641E9

Now ready to FIND FACTORS.


