60077sqrd
=======

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

my file > *ram.sumryfact.creditcd1..  Sun,27 Apr 2003.21:36:16
by don.mcdonald.pgm.c241Q. 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  60037*60041^2 ? exam..=216428682962197= 60037*60041*60041*all 10s.
3  n+6..=60047= 13*31*149*all 4cs
4  n1+6..=60053= 7*23*373*all 4cs
5  n1+6..=60059= 19*29*109*all 4cs
6  n1+6..=60065= 5*41*293*all 4cs
7  n1+6..=60071= 11*43*127*all 4cs
8  n1+6..=60077= 60077*all 5cs
9  n1^2*60041..=216702734823089= 60041*60077*60077*1prime 15s.
10  n1+210..=216702734823299= ? 8mn
11  n1+210..=216702734823509= 11*116707*168800917prime 19s.

12  n1+210..=216702734823719= ? 4mn
13  n1+210..=216702734823929= 23*37*254644811779prime 53s.
14  n1+210..=216702734824139= ? 4mn
15  n1+210..=216702734824349= 25667*8442854047prime 20s.
16  n1+210..=216702734824559= 35879*6039820921prime 20s.
17  n1+210..=216702734824769= 31*227*22147*1390471*all 3s.
18  n1+210..=216702734824979= 13*17*131*19961*374989*all 3s.
19  n1+210..=216702734825189= 907*238922530127prime 52s.
20  n1+210..=216702734825399= 233*930054655903prime 1mn
21  n1+210..=216702734825609= 743*1117*261109339*all 1s.
22  n1+210..=216702734825819= 11*19700248620529prime 5mn
23  n1+210..=216702734826029= 151*1435117449179prime 1mn


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

my file > *ram.sumryfact.creditcd1..  Sun,27 Apr 2003.22:02:50
by don.mcdonald.pgm.c241Q. 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  60037*60041^2 ? exam..=216428682962197= 60037*60041*60041*all 10s.
3  3E6+1..=3000001= 853*3517*all 9cs
4  n1+210..=3000211= 17*31*5693*all 5cs
5  n1+210..=3000421= 41*73181*all 6cs
6  n1+210..=3000631= 211*14221*all 6cs
7  n1+210..=3000841= 19*43*3673*all 5cs
8  n1+210..=3001051= 349*8599*all 7cs
9  n1+210..=3001261= 61*49201*all 6cs
10  n1+210..=3001471= 11*29*97*97*all 5cs
11  n1+210..=3001681= 3001681*all 14cs

12  n1+210..=3001891= 23*130517*all 7cs
13  n1+210..=3002101= 3002101*all 14cs
14  p(11)*p(13)..=9011349531781= 3001681*3002101prime 4mn
15  6*p(13)+1..=18012607= 263*68489*all 7cs
16  n1+210..=18012817= 19*19*41*1217*all 5cs
17  n1+210..=18013027= 79*228013*all 8cs
18  n1+210..=18013237= 11*353*4639*all 7cs
19  n1+210..=18013447= 2089*8623*all 17cs
20  n1+210..=18013657= 18013657*all 29cs
21  p(13)*p(20)..=54078817693357= 3002101*18013657prime 4mn

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

PLEASE ENTER)  numeric expression/no.,
?o

(0 q Q ) quit,  (d  n  n1)  Datum,  last factor, test.
(  h o help options,  *  display  spool (save).    <ESC> exit.
factor base Q%(3628)

 or  C= 8xCAP letr word(base 100, Z base 27) Pp,t= 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%(2*5760) coprime 2*13# ,
 R%(K1%) primorial.   r.andom test =r,  or
<CR>,  very easy (a)gain,  repeat similar formula.

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. prog c241Q  24.2.03   close *spool
