R% should be improved. xxxxxxxx
product of primes.
=============
c22  04.02.03  01:30===============


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

my file > *ram.sumryfact.creditcd1..  Tue,04 Feb 2003.01:27:30
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)
(prob) -- #formula,--  value, --   FACTORS -- ,  (centiseconds).
---   
2  RND(2^15.5)*RND(2^31..=80437789451240= 2^3*5*13*607*3793*67187*all 35cs
3  RND(2^15.5)*RND(2^31..=39932983905030= 2*3*5*3*3*31*53*90018223*all 57cs
4  RND(2^15.5)*RND(2^31..=2457378875880= 2^3*3*5*3*3*79*28801909*all 36cs
5  RND(2^15.5)*RND(2^31..=9697305480072= 2^3*3*7*83*695446463*all 1s.
6  RND(2^15.5)*RND(2^31..=1179542159728= 2^4*31*241*449*21977*all 13cs
7  RND(2^15.5)*RND(2^31..=131000796988= 2^2*563*2633*22093*all 28cs
8  RND(606)*2*3*5*7*11*..=1409940245614057= 1409940245614057? >46201^3 cofactor? 6s.
9  RND(606)*2*3*5*7*11*..=296829525392587= 11*17*53*29949503117prime 27s.
10  RND(606)*2*3*5*7*11*..=3695527591135519= 89*317*821*159545303*all 82cs
11  RND(606)*2*3*5*7*11*..=163256238965863= 3881*42065508623prime 30s.
continu.
12  RND(606)*2*3*5*7*11*..=148414762696331= 43*139*719*34535437*all 47cs
13  RND(606)*2*3*5*7*11*..=2374636203139343= 11*13*16605847574401prime 6mn
14  RND(606)*2*3*5*7*11*..=2189117749769003= 28547*45281*1693529*all 6s.
15  RND(606)*2*3*5*7*11*..=2434002108217909= 421*3623*1595770823*all 2s.
16  RND(606)*2*3*5*7*11*..=831122671098829= 367*421*16103*334049*all 2s.
17  RND(606)*2*3*5*7*11*..=2649203514127357= 11*17*167*84831519233prime 37s.
18  RND(606)*2*3*5*7*11*..=133573286426747= 59*132971*17025923prime 23s.
19  RND(606)*2*3*5*7*11*..=1432202460018413= 89*12203*1318705439*all 3s.
20  RND(606)*2*3*5*7*11*..=942433743121061= 942433743121061? >46201^3 cofactor? 6s.
21  RND(606)*2*3*5*7*11*..=3858783830101363= 22541*30271*5655233*all 4s.
22  RND(606)*2*3*5*7*11*..=3042502635272143= 3042502635272143? >46201^3 cofactor? 6s.
23  RND(606)*2*3*5*7*11*..=140994024561449= 311*334753*1354303prime 42s.
24  RND(606)*2*3*5*7*11*..=3502588399630541= 13*17*92269*171767509prime 20s.
25  RND(606)*2*3*5*7*11*..=2686307204801363= 11*13*890437*21096793prime 1mn
26  stronger filt(teleph..=787664373458= 2*393832186729prime 1mn
27  filtering pri(teleph..=345837464774= 2*326663*529349prime 41s.

29  1..=1= 1 (less than 2.X ) 1cs
30  1..=1= 1 (less than 2.X ) 1cs
31  n1+p(prob-2)..=2= 2*all?n 2cs
continu.
32  n1+p(prob-2)..=3= 3*all?n 2cs
33  n1+p(prob-2)..=5= 5*all?n 2cs
34  n1+p(prob-2)..=8= 3th powof(2*all?n 2cs
35  n1+p(prob-2)..=13= 13*all?n 5cs
36  n1+p(prob-2)..=21= 3*7*all?n 5cs
37  n1+p(prob-2)..=34= 2*17*all?n 5cs
38  n1+p(prob-2)..=55= 5*11*all?n 5cs
39  n1+p(prob-2)..=89= 89*all?n 5cs
40  n1+p(prob-2)..=144= squareof(2^2*3*all?n 6cs
41  n1+p(prob-2)..=233= 233*all?n 5cs
42  n1+p(prob-2)..=377= 13*29*all?n 5cs
43  n1+p(prob-2)..=610= 2*5*61*all?n 5cs
44  n1+p(prob-2)..=987= 3*7*47*all?n 5cs
45  n1+p(prob-2)..=1597= 1597*all?n 6cs
46  n1+p(prob-2)..=2584= 2^3*17*19*all?n 6cs
47  n1+p(prob-2)..=4181= 37*113*all?n 6cs
48  n1+p(prob-2)..=6765= 3*5*11*41*all?n 6cs
49  n1+p(prob-2)..=10946= 2*13*421*all?n 6cs
50  n1+p(prob-2)..=17711= 89*199*all?n 6cs
51  n1+p(prob-2)..=28657= 28657*all?n 6cs
continu.
52  n1+p(prob-2)..=46368= 2^5*3*3*7*23*all?n 6cs
53  n1+p(prob-2)..=75025= 5*5*3001*all?n 6cs
54  n1+p(prob-2)..=121393= 233*521*all?n 7cs
55  n1+p(prob-2)..=196418= 2*17*53*109*all?n 6cs
56  n1+p(prob-2)..=317811= 3*13*29*281*all?n 6cs
57  n1+p(prob-2)..=514229= 514229*all?n 9cs
58  n1+p(prob-2)..=832040= 2^3*5*11*31*61*all?n 6cs
59  n1+p(prob-2)..=1346269= 557*2417*all?n 8cs
60  n1+p(prob-2)..=2178309= 3*7*47*2207*all?n 6cs
61  n1+p(prob-2)..=3524578= 2*89*19801*all?n 6cs
62  n1+p(prob-2)..=5702887= 1597*3571*all?n 14cs
63  n1+p(prob-2)..=9227465= 5*13*141961*all?n 8cs
64  n1+p(prob-2)..=14930352= 2^4*3*3*3*17*19*107*all?n 6cs
65  n1+p(prob-2)..=24157817= 73*149*2221*all?n 6cs
66  n1+p(prob-2)..=39088169= 37*113*9349*all?n 6cs
67  n1+p(prob-2)..=63245986= 2*233*135721*all?n 7cs
68  n1+p(prob-2)..=102334155= 3*5*7*11*41*2161*all?n 6cs
69  n1+p(prob-2)..=165580141= 2789*59369*all?n 20cs
70  n1+p(prob-2)..=267914296= 2^3*13*29*211*421*all?n 7cs
71  n1+p(prob-2)..=433494437= 433494437*all?n 1s.
continu.
72  n1+p(prob-2)..=701408733= 3*43*89*199*307*all?n 6cs
73  n1+p(prob-2)..=1134903170= 2*5*17*61*109441*all?n 7cs
74  n1+p(prob-2)..=1836311903= 139*461*28657*all?n 8cs
75  n1+p(prob-2)..=2971215073= 2971215073prime 16s.
76  n1+p(prob-2)..=4807526976= 2^4*3*7*2^2*3*23*47*1103*all 7cs
77  n1+p(prob-2)..=7778742049= 13*97*6168709*all 19cs
78  n1+p(prob-2)..=12586269025= 5*11*5*101*151*3001*all 8cs
79  n1+p(prob-2)..=20365011074= 2*1597*6376021*all 41cs
80  n1+p(prob-2)..=32951280099= 3*233*521*90481*all 12cs
81  n1+p(prob-2)..=53316291173= 953*55945741*all 58cs
82  n1+p(prob-2)..=86267571272= 2^3*17*19*53*109*5779*all 7cs
83  n1+p(prob-2)..=139583862445= 5*89*661*474541*all 12cs
84  n1+p(prob-2)..=225851433717= 3*7*13*7*29*281*14503*all 9cs
85  n1+p(prob-2)..=365435296162= 2*37*113*797*54833*all 14cs
86  n1+p(prob-2)..=591286729879= 59*19489*514229*all 2s.
87  n1+p(prob-2)..=956722026041= 353*2710260697prime 16s.
88  n1+p(prob-2)..=1548008755920= 2^4*3*5*11*3*31*41*61*2521*all 8cs
89  n1+p(prob-2)..=2504730781961= 4513*555003497*all 1s.
90  n1+p(prob-2)..=4052739537881= 557*2417*3010349*all 51cs
91  n1+p(prob-2)..=6557470319842= 2*13*17*421*35239681*all 44cs
continu.
92  n1+p(prob-2)..=10610209857723= 3*7*47*1087*2207*4481*all 33cs
93  n1+p(prob-2)..=17167680177565= 5*233*14736206161prime 22s.
94  n1+p(prob-2)..=27777890035288= 2^3*89*199*9901*19801*all 62cs
95  n1+p(prob-2)..=44945570212853= 269*116849*1429913prime 22s.
96  n1+p(prob-2)..=72723460248141= 3*67*1597*3571*63443*all 48cs
97  n1+p(prob-2)..=117669030460994= 2*137*829*18077*28657*all 1s.
98  n1+p(prob-2)..=190392490709135= 5*11*13*29*71*911*141961*all 14cs
99  n1+p(prob-2)..=308061521170129= 6673*46165371073prime 31s.
100  n1+p(prob-2)..=498454011879264
= 2^4*3*7*17*19*2*3*3*23*107*103681*all 9cs
101  n1+p(prob-2)..=806515533049393= 806515533049393? >46201^3 cofactor? 6s.
102  n1+p(prob-2)..=1304969544928657= 73*149*2221*54018521*all 77cs
103  n1+p(prob-2)..=2111485077978050= 2*5*5*61*3001*230686501*all 1s.
104  n1+p(prob-2)..=3416454622906707= 3*37*113*9349*29134601*all 1s.
105  n1+p(prob-2)..=5527939700884757= Accy?(13*89*988681*4832521prime 1mn

106  n1+p(prob-2)..=8944394323791464
= Accy?(2^3*79*233*521*859*135721*all 19cs
107  n1+p(prob-2)..=14472334024676220= Accy?(2^2*3*5*7*11*41*79*521*859*2161*all 13cs
108  n1+p(prob-2)..=23416728348467684
= Accy?(2^2*79*521*859*2789*59369*all 33cs
109  n1+p(prob-2)..=37889062373143904
= Accy?(2^4*13*2*29*79*211*421*521*859*all 14cs
110  n1+p(prob-2)..=61305790721611584= Accy?(2^4*3*2^2*319300993341727? >46201^3 cofactor? 6s.
continu.

112  2^P%(prob-111)-1..=1= 1 (less than 2.X ) 1cs
113  2^P%(prob-111)-1..=2047= 23*89*all?n 6cs
114  2^P%(prob-111)-1..=8191= 8191*all?n 6cs
115  2^P%(prob-111)-1..=131071= 131071*all?n 7cs
116  2^P%(prob-111)-1..=524287= 524287*all?n 9cs
117  2^P%(prob-111)-1..=8388607= 47*178481*all?n 8cs
118  2^P%(prob-111)-1..=536870911= 233*1103*2089*all?n 11cs
119  2^P%(prob-111)-1..=2147483647= 2147483647*all?n 2s.
120  2^P%(prob-111)-1..=137438953471= 223*616318177*all 1s.
121  2^P%(prob-111)-1..=2199023255551= 13367*164511353*all 2s.
122  2^P%(prob-111)-1..=8796093022207= 431*9719*2099863*all 1s.
123  2^P%(prob-111)-1..=140737488355327= 2351*4513*13264529*all 93cs
124  2^P%(prob-111)-1..=9007199254740991= Accy?(3*2*2*2*2*2*3*2*3*2*3*2*2^2*5*2*3*2^2*7*59*863*2539*all 44cs

try 2^n. 3^m.?

125  2^P%(prob-111)-1..=576460752303423488= Accy?(2^59.0000000000000071* 4cs
126  2^P%(prob-111)-1..=2.30584300921369395E18= Accy?(2^61* 4cs
127  2^P%(prob-111)-1..=1.47573952589676413E20=  1s.
128  2^P%(prob-111)-1..=2.36118324143482261E21=  3s.
129  2^P%(prob-111)-1..=9.44473296573929043E21=  12s.
*************
stronger filtering c22 but not fully proven..


my file > *ram.sumryfact.creditcd1..  Tue,04 Feb 2003.20:21:59
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)
(prob) -- #formula,--  value, --   FACTORS -- ,  (centiseconds).
---   
2  RND(606)*2*3*5*7*11*..=3970094902123501= 3970094902123501? 
>46201^3 cofactor? 6s.
3  RND(606)*2*3*5*7*11*..=1677086818467287= 1677086818467287? 
>46201^3 cofactor? 6s.
4  RND(606)*2*3*5*7*11*..=3740052019944389= 479*7808041795291prime 4mn
5  RND(606)*2*3*5*7*11*..=875647099907687= 659*1328751289693prime 1mn
6  RND(606)*2*3*5*7*11*..=1484147626962053= 47*1489*21207259291prime 25s.
7  RND(606)*2*3*5*7*11*..=831122671098877= 831122671098877? 
>46201^3 cofactor? 6s.
8  RND(606)*2*3*5*7*11*..=2463685060757051= 2463685060757051? 
>46201^3 cofactor? 6s.
9  RND(606)*2*3*5*7*11*..=3502588399630531= 3502588399630531? 
>46201^3 cofactor? 6s.
10  RND(606)*2*3*5*7*11*..=927592266851407= 223*4159606577809prime 3mn
11  RND(606)*2*3*5*7*11*..=3487746923360827= 3487746923360827? 
>46201^3 cofactor? 6s.
continu.
12  RND(606)*2*3*5*7*11*..=623342003324171= 67*757*12290108309prime 22s.
13  RND(606)*2*3*5*7*11*..=3279966255586193= 3279966255586193? 
>46201^3 cofactor? 6s.
14  RND(606)*2*3*5*7*11*..=623342003324141= 4871*127970027371prime 43s.
15  RND(606)*2*3*5*7*11*..=1454464674422957= 151*23059*417720473*all 4s.
16  RND(606)*2*3*5*7*11*..=4133351141089249= 34981*318107*371447prime 40s.
17  RND(606)*2*3*5*7*11*..=3784576448753189= 281*10169*1324441301*all 3s.
18  RND(606)*2*3*5*7*11*..=1268946221052563= 3181*3947*5021*20129*all 95cs
19  RND(606)*2*3*5*7*11*..=3584216519113273= 479*1499*14327*348419*all 2s.
20  RND(606)*2*3*5*7*11*..=1625141651523587= 3677*441974884831prime 1mn
21  RND(606)*2*3*5*7*11*..=1625141651523587= 3677*441974884831prime 1mn
22  R%(prob-20)..=595973171= 19*23*29*31*37*41*all?n 6cs
23  R%(prob-20)..=385499687= 43*47*53*59*61*all?n 6cs
24  R%(prob-20)..=27433619= 67*71*73*79*all?n 6cs
25  R%(prob-20)..=72370439= 83*89*97*101*all?n 6cs
26  R%(prob-20)..=135745657= 103*107*109*113*all?n 6cs
27  R%(prob-20)..=316818391= 127*131*137*139*all?n 6cs
28  R%(prob-20)..=575771909= 149*151*157*163*all?n 6cs
29  R%(prob-20)..=936039509= 167*173*179*181*all?n 6cs
30  RND(2^20)^2*RND(2^12..=2189935768879800= 2^3*3*5*3*5*191*79811*79811prime 19s.
31  RND(2^20)^2*RND(2^12..=2701085728830048= 2^4*3*7*2*3*7*139*139*173*173*331*all 11cs
continu.
32  RND(2^20)^2*RND(2^12..=5567325192324= squareof(2*3*7*56179*all?n 7cs
33  RND(2^20)^2*RND(2^12..=44133355657080= 2^3*3*5*3*3*3*3*3*3*3*3*7487*7487*all 46cs
34  RND(2^20)^2*RND(2^12..=1020955963882095= 3*5*17*3*3*666979*666979prime 1mn
35  RND(2^20)^2*RND(2^12..=1272603857239988= 2^2*7*13*19*7*19*37*37*41*157*157*all 9cs
36  RND(2^20)^2*RND(2^12..=1286968566914048= 2^4*2^4*2^2*29*29*29*67*877*877*all 14cs
37  RND(2^20)^2*RND(2^12..=1473733057950272= 2^4*7*2^2*7*23*31*25673*25673*all 1s.
38  RND(2^20)^2*RND(2^12..=47267504874800= 2^4*5*7*5*23*29*23*1049*1049*all 13cs
39  RND(2^20)^2*RND(2^12..=446860184697849= 3*13*13*137*137*293*293*547*all 12cs
40  RND(2^20)^2*RND(2^12..=143090575758= 2*3*13*3*3*3*3*4759*4759*all 31cs
41  RND(2^20)^2*RND(2^12..=2024458276259372= 2^2*827*782297*782297prime 1mn
42  RND(2^26)^2-1..=1600547966908800= 2^4*3*5*7*13*17*17*2^3*5*61*103*1009*all 8cs
43  RND(2^26)^2-1..=575905731857295= 3*5*7*1759*1949*1599869*all 43cs
44  RND(2^26)^2-1..=1387158739376399= 11*19*43*1129*2999*45587*all 38cs
45  RND(2^26)^2-1..=1345730603008400= 2^4*5*7*5*26203*18342101*all 4s.
46  RND(2^26)^2-1..=183389447442495= 3*5*7*127*859*1051*15233*all 25cs
47  RND(2^26)^2-1..=2649736056994568= 2^3*331217007124321? 
>46201^3 cofactor? 6s.
48  RND(2^26)^2-1..=190338997395599= 13*223*271*4759*50909*all 36cs
49  RND(2^26)^2-1..=554364058333968= 2^4*3*3*349*937*1481*7949*all 29cs
50  RND(2^26)^2-1..=1187532194226920= 2^3*5*47*79*181*241*183301*all 13cs
51  RND(2^26)^2-1..=241147822234224= 2^4*3*43*180569*647039prime 28s.
continu.
52  RND(2^26)^2-1..=4267070290169855= 5*7*19*1423*9181*491149*all 1s.
53  RND(2^26)^2-1..=2644564257056928= 2^4*3*2*97*109*9829*265079*all 1s.
54  RND(2^26)^2-1..=66310175327235= 3*5*7*401*967*1628621*all 20cs
55  RND(2^26)^2-1..=1653490873333320= 2^3*3*5*7*7*283*13831*71843*all 82cs
56  RND(2^26)^2-1..=4086377881597088= 2^4*7*11*2*11*53*89*653*48947*all 13cs
57  RND(2^26)^2-1..=3186172591300863= 3*3*1151*5449*56446193*all 1s.
58  RND(2^26)^2-1..=2790633819602499= 3*13*31*47*461*2789*38197*all 29cs
59  RND(2^26)^2-1..=101918009748024= 2^3*3*3*193*1117*1453*4519*all 31cs
60  RND(2^26)^2-1..=2155745550020048= 2^4*7*23*167*1297*1511*2557*all 34cs
61  RND(2^26)^2-1..=4045444519308480= 2^4*3*5*2^2*3*706709*1987619prime 1mn
62  RND(2^26)^2-1..=1697092619374655= 5*23* 1mn
63  RND(2^26)^2-1..=1697092619374655= 5*23* 2mn
64  10^(prob-63)-1..=9= squareof(3*all?n 2cs
65  10^(prob-63)-1..=99= 3*3*11*all?n 5cs
66  10^(prob-63)-1..=999= 3*3*3*37*all?n 5cs
67  10^(prob-63)-1..=9999= 3*3*11*101*all?n 6cs
68  10^(prob-63)-1..=99999= 3*3*41*271*all?n 5cs
69  10^(prob-63)-1..=999999= 3*3*3*7*11*13*37*all?n 6cs
70  10^(prob-63)-1..=9999999= 3*3*239*4649*all?n 7cs
71  10^(prob-63)-1..=99999999= 3*3*11*73*101*137*all?n 6cs
continu.
72  10^(prob-63)-1..=999999999= 3*3*3*3*37*333667*all?n 8cs
73  10^(prob-63)-1..=9999999999= 3*11*3*41*271*9091*all 8cs
74  10^(prob-63)-1..=99999999999= 3*3*21649*513239*all 3s.
75  10^(prob-63)-1..=999999999999= 3*7*11*13*3*3*37*101*9901*all 8cs
76  10^(prob-63)-1..=9999999999999= 3*3*53*79*265371653*all 91cs
77  10^(prob-63)-1..=99999999999999= 3*11*3*239*4649*909091*all 85cs
78  10^(prob-63)-1..=999999999999999= 3*3*3*31*37*41*271*2906161*all 17cs
79  10^(prob-63)-1..=10000000000000000= Accy?(squareof(squareof(squareof(squareof(2*5*all?n 6cs
80  10^(prob-63)-1..=100000000000000000= Accy?(17th powof(2*5*all?n 5cs
81  10^(prob-63)-1..=1E18= Accy?(squareof(3th powof(3th powof(2*5*all?n 5cs
82  10^(prob-63)-1..=1E19=  7s.

penguin dict of cur + intg nos ...


83  923187456..=923187456= squareof(2^4*3*3*211*all?n 6cs
84  999999937..=999999937= 999999937*all?n 1s.
85  1026753849..=1026753849= squareof(3*11*971*all?n 6cs
86  1234567891..=1234567891= 1234567891*all?n 1s.
87  1375298099..=1375298099= 7*196471157*all?n 76cs
88  1533776801..=1533776801= 31*49476671*all?n 41cs
89  1857437604..=1857437604= squareof(2*3*11*653*all?n 6cs
90  4294967297..=4294967297= 641*6700417*all 28cs
91  4679307774..=4679307774= 2*3*3*193*1346951*all 12cs
continu.
92  5391411025..=5391411025= 5*7*11*13*17*19*5*23*29*all 7cs
93  9814072356..=9814072356= squareof(2*3*11*19*79*all?n 6cs
94  10662526601..=10662526601= 3th powof(31*71*all?n 6cs
95  14182439040..=14182439040= 2^4*3*5*7*11*17*19*2^3*3*3*3*11*all 7cs
96  36363636364..=36363636364= 2^2*11*23*4093*8779*all 27cs
97  61917364224..=61917364224= squareof(5th powof(2^2*3*all?n 6cs
98  100895598169..=100895598169= 112303*898423prime 22s.
99  444171597444..=444171597444= squareof(2*3*277*401*all?n 7cs
100  554688278429..=554688278429= 554688278429prime 1mn
101  2*n1+1..=1109376556859= 1109376556859prime 1mn
102  443372888629441..=443372888629441= 17*31*41*43*89*97*167*331*all 10cs

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



c22Bc when i noticed poor filtering  **************

my file > *ram.sumryfact.creditcd1..  Tue,04 Feb 2003.00:09:06
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)
(prob) -- #formula,--  value, --   FACTORS -- ,  (centiseconds).
---   
2  P%(40)..=173= 173*all  5cs
3  R%(20)..=2145710774= 2*19*379*383*389*all  7cs
4  R%(200)..=2141626544= 2^4*17*53*53*2803*all  5cs
5  R%(150)..=2144426879= 7*61*2239*2243*all  17cs
6  R%(180)..=2146646091= 3*29*89*107*2591*all  6cs
7  R%(166)..=2144478416= 2^4*23*2411*2417*all  17cs
8  R%(172)..=2143028567= 37*67*349*2477*all  7cs
10  n1/2477..=865171= 37*67*349*all  5cs
11  37*67..=2479= 37*67*all  5cs

13  R%(prob)..=2137632966= 2*3*3*7*251*257*263*all  7cs
14  R%(prob)..=2140460438= 2*53*269*271*277*all  7cs
15  R%(prob)..=2143621988= 2^2*23*281*283*293*all  7cs
16  R%(prob)..=2121785371= 71*307*311*313*all  7cs
17  R%(prob)..=2121623940= 2^2*3*5*317*331*337*all  7cs
18  R%(prob)..=2137467950= 2*5*5*347*349*353*all  8cs
19  R%(prob)..=2113186367= 43*359*367*373*all  7cs
20  R%(prob)..=2145710774= 2*19*379*383*389*all  8cs
21  R%(prob)..=2083570336= 2^5*397*401*409*all  8cs
22  R%(prob)..=2128783132= 2^2*7*419*421*431*all  8cs
23  R%(prob)..=2105213525= 5*5*433*439*443*all  8cs
24  R%(prob)..=2081067406= 2*11*449*457*461*all  8cs
25  R%(prob)..=2071397180= 2^2*5*463*467*479*all  8cs
26  R%(prob)..=2028429511= 17*487*491*499*all  8cs
27  R%(prob)..=2134241072= 2^4*503*509*521*all  8cs
28  R%(prob)..=2095475858= 2*7*23*23*523*541*all  8cs
please try factor 547 instead of 23*23.
long time program does not filter factors multiples of 23 29 31 37 41 43 xxx
please repeat test existing factors.

29  R%(prob)..=2058411324= 2^2*3*547*557*563*all  9cs
30  R%(prob)..=2062133953= 11*569*571*577*all  8cs
31  R%(prob)..=2085065090= 2*5*587*593*599*all  9cs
continu. 
32  R%(prob)..=2012640219= 3*3*601*607*613*all  9cs
33  R%(prob)..=1927947304= 2^3*617*619*631*all  9cs
34  R%(prob)..=2133355688= 2^3*641*643*647*all  8cs
35  R%(prob)..=1991123029= 7*653*659*661*all  9cs
36  R%(prob)..=2127294449= 7*23*29*673*677*all  9cs
please try prime in place of 23*29.

37  R%(prob)..=1985034318= 2*3*683*691*701*all  9cs
38  R%(prob)..=1817333615= 5*23*31*709*719*all  9cs
39  R%(prob)..=1969032245= 5*727*733*739*all  9cs
40  R%(prob)..=2112003505= 5*743*751*757*all  9cs
41  R%(prob)..=1809466228= 2^2*761*769*773*all  10cs
42  R%(prob)..=2029745404= 2^2*787*797*809*all  10cs
43  R%(prob)..=1643936739= 3*811*821*823*all  10cs
44  R%(prob)..=1725612411= 3*827*829*839*all  10cs
45  R%(prob)..=1831453269= 3*23*29*29*37*853*all  6cs
please try 3 prime factors.

46  R%(prob)..=1905926007= 3*857*859*863*all  10cs
47  R%(prob)..=2046715413= 3*877*881*883*all  10cs
48  R%(prob)..=1446507182= 2*29*31*887*907*all  10cs
49  R%(prob)..=1555534322= 2*911*919*929*all  10cs
50  R%(prob)..=1662918262= 2*23*41*937*941*all  10cs
51  R%(prob)..=1734587702= 2*31*31*947*953*all  10cs
continu. 
52  R%(prob)..=1834721978= 2*967*971*977*all  11cs
53  R%(prob)..=1926874634= 2*23*43*983*991*all  11cs
54  R%(prob)..=2038101298= 2*997*1009*1013*all  11cs
55  R%(prob)..=2145302738= 2*1019*1021*1031*all  11cs
56  R%(prob)..=1125878063= 1033*1039*1049*all  11cs
57  R%(prob)..=1185362993= 1051*1061*1063*all  11cs
58  R%(prob)..=1239946997= 23*29*37*47*1069*all  6cs
59  R%(prob)..=1296207281= 1087*1091*1093*all  11cs
60  R%(prob)..=1341880019= 1097*1103*1109*all  11cs
61  R%(prob)..=1416207439= 1117*1123*1129*all  11cs
62  R%(prob)..=1522187141= 31*37*1151*1153*all  11cs
63  R%(prob)..=1608372013= 1163*1171*1181*all  12cs
64  R%(prob)..=1683732199= 29*41*1187*1193*all  12cs
65  R%(prob)..=1772941421= 1201*1213*1217*all  12cs
66  R%(prob)..=1832238673= 23*53*1223*1229*all  12cs
67  R%(prob)..=1898865509= 29*43*1231*1237*all  12cs
68  R%(prob)..=1998636061= 31*41*1249*1259*all  12cs
69  R%(prob)..=2095502089= 1277*1279*1283*all  12cs
70  R%(prob)..=2146687710= 2*3*5*43*1289*1291*all  12cs
71  R%(prob)..=2146368984= 2^3*3*53*1297*1301*all  12cs
continu. 
72  R%(prob)..=2145806460= 2^2*3*3*5*7*1303*1307*all  12cs
73  R%(prob)..=2146635568= 2^4*7*11*1319*1321*all  12cs
74  R%(prob)..=2147433674= 2*31*43*607*1327*all  9cs
75  R%(prob)..=2146071074= 2*7*23*59*83*1361*all  6cs
76  R%(prob)..=2146430592= 2^7*3*3*29*47*1367*all  6cs
77  R%(prob)..=2146545454= 2*37*37*571*1373*all  9cs
78  R%(prob)..=2146473109= 11*101*1381*1399*all  13cs
79  R%(prob)..=2146834122= 2*3*23*61*181*1409*all  7cs
80  R%(prob)..=2146366397= 7*151*1423*1427*all  13cs
81  R%(prob)..=2146049336= 2^3*131*1429*1433*all  13cs
82  R%(prob)..=2146782223= 1031*1439*1447*all  13cs

hereafter maybe only 2-large prime factors.

83  R%(prob)..=2146252454= 2*509*1451*1453*all  13cs
84  R%(prob)..=2147020630= 2*5*31*47*101*1459*all  6cs
85  R%(prob)..=2145872735= 5*197*1471*1481*all  13cs
86  R%(prob)..=2145680033= 7*139*1483*1487*all  13cs
87  R%(prob)..=2145269305= 5*193*1489*1493*all  13cs
88  R%(prob)..=2147209572= 2^2*3*79*1499*1511*all  13cs
89  R%(prob)..=2146353239= 37*41*929*1523*all  10cs
90  R%(prob)..=2146070064= 2^4*3*19*29*53*1531*all  6cs
91  R%(prob)..=2147119989= 3*7*23*43*67*1543*all  6cs
continu. 
92  R%(prob)..=2145792524= 2^2*223*1549*1553*all  14cs
93  R%(prob)..=2147355687= 3*293*1559*1567*all  14cs
94  R%(prob)..=2145726785= 5*173*1571*1579*all  14cs
95  R%(prob)..=2145807156= 2^2*3*37*43*71*1583*all  6cs
96  R%(prob)..=2145152683= 839*1597*1601*all  14cs
97  R%(prob)..=2146100290= 2*5*83*1607*1609*all  14cs
98  R%(prob)..=2146609434= 2*3*137*1613*1619*all  14cs
99  R%(prob)..=2146816738= 2*11*37*1621*1627*all  14cs
100  R%(prob)..=2146596463= 11*23*71*73*1637*all  6cs
101  R%(prob)..=2145291388= 2^2*31*53*197*1657*all  7cs
102  R%(prob)..=2145699054= 2*3*3*43*1663*1667*all  14cs
103  R%(prob)..=2146524266= 2*23*73*383*1669*all  8cs
contin. 
(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..**  Tue,25 Feb 2003.01:17:27
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 10s.
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  n^2*p(3)..=216270109634297= 60017*60029*60029*all 10s.
11  n..=60029= 60029*all 5cs
15  n1+2..=60037= 60037*all 5cs
16  n^2*p(11)..=216371010939701= 60029*60037*60037*all 10s.
17  n..=60037= 60037*all 5cs
18  n1+2..=60039= 3*3*7*953*all 4cs
19  n1+2..=60041= 60041*all 5cs
20  n^2*p(17)..=216428682962197= 60037*60041*60041*all 10s.
21  n..=60041= 60041*all 5cs
39  n1+2..=60077= 60077*all 5cs
40  n^2*p(19)..=216702734823089= 60041*60077*60077*1prime 15s.
41  n..=1= 1 (less than 2.) 1cs
42  p(39)..=60077= 60077*all 5cs
43  n1+2..=60079= 73*823*all 4cs
44  n^2*p(39)..=40691894333= 823*823*60077*all 26cs
45  n+2..=60079= 73*823*all 4cs
47  n1+2..=60083= 60083*all 5cs
***48  n^2*p(39)..=216875980790453= 216875980790453? Gap 59999 >60061^3 cofactor? 10s.
49  p(47)*p(39)..=3609606391= 60077*60083prime 15s.
52  n1+2..=60089= 60089*all 5cs
53  n^2*p(47)..=216940962357443= 216940962357443? Gap 59999 >60061^3 cofactor? 10s.
54  R%(K%)..=2147469604= 2^2*7*19*29*109*1277*all 7cs
55  R%(K1%)..=2147469604= 2^2*7*19*29*109*1277*all 7cs
56  R%(K%+55-prob)..=2147426406= 2*3*3*1987*60041*all 18cs
57  R%(K%+55-prob)..=2147463453= 3*11923*60037*all 76cs
58  R%(K%+55-prob)..=2147477446= 2*31*577*60029*all 10cs
59  R%(K%+55-prob)..=2147468277= 3*11927*60017*all 76cs
60  R%(K%+55-prob)..=2147445179= 11*3253*60013*all 25cs
61  R%(K%+55-prob)..=2147424209= 7*5113*59999*all 36cs
62  R%(K%+55-prob)..=2147439762= 2*3*3*3*3*13*17*59981*all 8cs
63  R%(K%+55-prob)..=2147441568= 2^5*3*373*59971*all 9cs
64  R%(K%+55-prob)..=2147479869= 3*11939*59957*all 76cs
65  R%(K%+55-prob)..=2147444820= 2^2*3*3*5*199*59951*all 8cs
66  R%(K%+55-prob)..=2147435857= 7*5119*59929*all 36cs
67  R%(K%+55-prob)..=2147448798= 2*3*3*11*181*59921*all 8cs
68  R%(K%+55-prob)..=2147428046= 2*17929*59887*all 1s.
69  RND(606)*2*3*5*7*11*..=378457644875503= 163*12791*181520291*all 3s.
70  RND(606)*2*3*5*7*11*..=1469306150692609= 1469306150692609? Gap 59999 >60061^3 cofactor? 10s.
71  RND(606)*2*3*5*7*11*..=2196538487903849= 157*13990691005757prime 5mn
continu.
72  RND(606)*2*3*5*7*11*..=1706769771006511= 73*2053*19469*584951*all 3s.
73  RND(606)*2*3*5*7*11*..=3064764849676669= 647*4736885393627prime 3mn
74  RND(606)*2*3*5*7*11*..=2842142705632283= 18839*96323*1566239prime 18s.
75  RND(606)*2*3*5*7*11*..=1209580315974209= 2213*546579446893prime 1mn
76  RND(606)*2*3*5*7*11*..=853384885503263= 853384885503263? Gap 59999 >60061^3 cofactor? 10s.
77  R%(K%/2)..=1203951179= 34693*34703*all 2s.
78  R%(K%/2+prob)..=1328019283= 36433*36451*all 2s.
79  R%(K%/2+prob)..=1329477419= 36457*36467*all 2s.
80  R%(K%/2+prob)..=1330133837= 36469*36473*all 2s.
81  R%(K%/2+prob)..=1331228147= 36479*36493*all 2s.
82  R%(K%/2+prob)..=1332979931= 36497*36523*all 2s.
83  R%(K%/2+prob)..=1334294783= 36527*36529*all 2s.
84  R%(K%/2+prob)..=1335610091= 36541*36551*all 2s.
85  R%(K%/2+prob)..=1336706717= 36559*36563*all 2s.
86  R%(K%/2+prob)..=1337876893= 36571*36583*all 2s.
87  R%(K%/2+prob)..=1339047613= 36587*36599*all 2s.
88  R%(K%/2+prob)..=1340877803= 36607*36629*all 2s.
89  R%(K%/2+prob)..=1342489591= 36637*36643*all 2s.
90  R%(K%/3+PROB)..=1737516993= 3*24061*24071*all 1s.
91  R%(K%/4+PROB)..=1967397258= 2*3*18097*18119*all 1s.

92  R%(K%/6+prob)..=2116337846= 2*7*12289*12301*all 77cs
93  R%(K%/10+prob)..=2140333685= 5*7*7817*7823*all 51cs
94  R%(K%/100)..=2052106889= 7*659*661*673*all 10cs
95  R%(K%/150+prob)..=2144172579= 3*163*2089*2099*all 18cs
96  R%(K%/150+prob-100)..=2113186367= 43*359*367*373*all 8cs
97  R%(K%/150+prob-100)..=2145710774= 2*19*379*383*389*all 9cs
98  R%(K%/150+prob-100)..=2083570336= 2^5*397*401*409*all 9cs
99  R%(K%/150+prob-100)..=2128783132= 2^2*7*419*421*431*all 9cs
100  R%(K%/150+prob-100)..=2105213525= 5*5*433*439*443*all 9cs
101  R%(K%/150+prob-100)..=2081067406= 2*11*449*457*461*all 9cs
102  R%(K%/150+prob-100)..=2071397180= 2^2*5*463*467*479*all 9cs
103  R%(K%/150+prob-100)..=2028429511= 17*487*491*499*all 9cs
104  R%(K%/150+prob-100)..=2134241072= 2^4*503*509*521*all 10cs
105  R%(K%/150+prob-100)..=2012007673= 13*523*541*547*all 10cs
106  R%(K%/150+prob-100)..=2141199348= 2^2*3*557*563*569*all 10cs
107  R%(K%/150+prob-100)..=2127368419= 11*571*577*587*all 10cs
108  R%(K%/150+prob-100)..=2134794070= 2*5*593*599*601*all 10cs
109  R%(K%/150+prob-100)..=2066221323= 3*3*607*613*617*all 10cs
110  R%(K%/150+prob-100)..=2002940392= 2^3*619*631*641*all 10cs
111  R%(K%/150+prob-100)..=1901631991= 7*643*647*653*all 10cs
continu.
112  R%(K%/150+prob-100)..=2052106889= 7*659*661*673*all 10cs
113  R%(K%/150+prob-100)..=1917073086= 2*3*677*683*691*all 10cs
114  R%(K%/150+prob-100)..=2144096826= 2*3*701*709*719*all 11cs

PLEASE ENTER)  numeric expression/no.,
?0
enter = close ,  or <ESC> resume.?
e n d. prog c241  24.2.03   close *spool

(higher filtering of primes. ?? prog c24. c241Q c22Byte 24-2-2003.)
limits 60013*60013*60017 bugs.  3^33+30 etc. = 3*47*549167*71792299.

my file > *ram.sumryfact.creditcd1..  Sun,02 Mar 2003.00:25:22
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  60037*60041^2 ? exam..=216428682962197= 60037*60041*60041*all 10s.
3  R%(K1%-prob+2)..=2147426406= 2*3*3*1987*60041*all 18cs
4  R%(K1%-prob+2)..=2147463453= 3*11923*60037*all 76cs
5  R%(K1%-prob+2)..=2147477446= 2*31*577*60029*all 10cs
6  R%(K1%-prob+2)..=2147468277= 3*11927*60017*all 76cs
7  R%(K1%-prob+2)..=2147445179= 11*3253*60013*all 25cs
8  R%(K1%-prob+2)..=2147424209= 7*5113*59999*all 36cs
9  R%(K1%-prob+2)..=2147439762= 2*3*3*3*3*13*17*59981*all 8cs
10  R%(K1%-prob+2)..=2147441568= 2^5*3*373*59971*all 8cs

11  R%(K1%-prob+2)..=2147479869= 3*11939*59957*all 76cs


12  R%(K1%-prob+2)..=2147444820= 2^2*3*3*5*199*59951*all 8cs
13  R%(K1%-prob+2)..=2147435857= 7*5119*59929*all 36cs
14  R%(K1%-prob+2)..=2147448798= 2*3*3*11*181*59921*all 8cs
15  R%(K1%-prob+2)..=2147428046= 2*17929*59887*all 1s.
16  R%(K1%-prob+2)..=2147440577= 35863*59879*all 2s.
17  RND(2^15.5)*RND(2^31..=17326212632105= 5*13*641*415845737*all 1s.
18  RND(2^15.5)*RND(2^31..=42402076468282= 2*149*193*307*353*6803*all 17cs
19  RND(2^15.5)*RND(2^31..=37525209361822= 2*7*13*47*59*47*167*9473*all 13cs
20  RND(2^15.5)*RND(2^31..=11607685744200= 2^2*3*5*5*7*7*13*2*7*283*15331*all 12cs
21  RND(2^15.5)*RND(2^31..=30141891563882= 2*7*167*1153*1949*5737*all 40cs
22  RND(2^15.5)*RND(2^31..=46998530243100= 2^2*3*3*5*5*19*3*29*313*100931*all 13cs
23  RND(2^15.5)*RND(2^31..=11170882121229= 3*3*42451*29238631*all 6s.
24  RND(2^15.5)*RND(2^31..=66957570473430= 2*3*5*7*7*13*317*683*16183*all 20cs
25  RND(2^15.5)*RND(2^31..=8649776911680= 2^2*3*3*5*2^4*3*3*3*111236843*all 73cs
26  RND(2^15.5)*RND(2^31..=63039373005492= 2^2*3*3*13*3*29*47*2389*13789*all 26cs
27  RND(2^15.5)*RND(2^31..=11020979460216= 2^2*3*11*2*43*18041*53813*all 1s.
28  RND(2^15.5)*RND(2^31..=4666189149116= 2^2*11*23*461*709*14107*all 22cs
29  RND(2^15.5)*RND(2^31..=62657493682434= 2*3*7*7*23*251*36916807*all 51cs
30  RND(2^15.5)*RND(2^31..=36028573108098= 2*3*53*53*211*2801*3617*all 29cs
31  RND(2^15.5)*RND(2^31..=11205210232068= 2^2*3*223*5261*795913*all 1s.


32  RND(2^15.5)*RND(2^31..=4839384378565= 5*11*103*1493*572177*all 21cs
33  RND(2^15.5)*RND(2^31..=12780240575324= 2^2*17*41*41*79*587*2411*all 15cs
34  RND(2^15.5)*RND(2^31..=46859384281898= 2*79*241*1230615691*all 2s.
35  RND(2^15.5)*RND(2^31..=32509852514580= 2^2*3*5*7*23*2971*1132753*all 68cs
36  RND(2^15.5)*RND(2^31..=27814388053956= 2^2*3*7*31741*10432049*all 5s.
37  RND(606)*2*3*5*7*11*..=356195430470951= 47*2345131*3231643prime 3mn

39  RND(606)*2*3*5*7*11*..=3428381018282417= 71*751*64297012777prime 34s.
40  RND(606)*2*3*5*7*11*..=1484147626962223= 3779*176549*2224513prime 24s.
41  RND(606)*2*3*5*7*11*..=482347978762703= 482347978762703? Gap 59999 >60061^3 cofactor? 10s.
42  RND(606)*2*3*5*7*11*..=3539692090304593= 16567*118831*1798009prime 20s.
43  RND(606)*2*3*5*7*11*..=460085764358321= 460085764358321? Gap 59999 >60061^3 cofactor? 10s.
44  RND(606)*2*3*5*7*11*..=1743873461680403= 59*12277*2407524421prime 19s.
45  RND(606)*2*3*5*7*11*..=4036881545336821= 4036881545336821? Gap 59999 >60061^3 cofactor? 10s.
46  RND(606)*2*3*5*7*11*..=3940411949584169= 53*59*1260125343647prime 1mn
47  RND(606)*2*3*5*7*11*..=4177875569898193= 4177875569898193? Gap 59999 >60061^3 cofactor? 10s.
48  RND(606)*2*3*5*7*11*..=1780977152354591= 359*81359*60975911prime 17s.
49  RND(606)*2*3*5*7*11*..=2092648154016571= 2092648154016571? Gap 59999 >60061^3 cofactor? 10s.
50  RND(606)*2*3*5*7*11*..=1239263268513419= 1239263268513419? Gap 59999 >60061^3 cofactor? 10s.
51  RND(606)*2*3*5*7*11*..=4348552546998689= 29*491*305397327551prime 57s.


52  60037*60041^2..=216428682962197= 60037*60041*60041*all 10s.
53  n..=60041= 60041*all 5cs
54  n1+2..=60043= 97*619*all 5cs
55  n1+2..=60045= 3*5*4003*all 4cs
56  n1+2..=60047= 13*31*149*all 4cs
57  n1+2..=60049= 11*53*103*all 4cs
58  n1+2..=60051= 3*37*541*all 4cs
59  n1+2..=60053= 7*23*373*all 4cs
60  n1+2..=60055= 5*12011*all 5cs
61  n1+2..=60057= 3*3*6673*all 4cs
62  n1+2..=60059= 19*29*109*all 4cs
63  n1+2..=60061= 17*3533*all 4cs
64  n1+2..=60063= 3*20021*all 5cs
65  n1+2..=60065= 5*41*293*all 4cs
66  n1+2..=60067= 7*8581*all 4cs
67  n1+2..=60069= 3*20023*all 5cs
68  n1+2..=60071= 11*43*127*all 4cs
69  n1+2..=60073= 13*4621*all 5cs
70  n1+2..=60075= 3*3*3*5*5*89*all 4cs
71  n1+2..=60077= 60077*all 5cs


72  n^2*p(53)..=216702734823089= 60041*60077*60077*1prime 15s.
73  3^33..=5559060566555523= Accy?(3th powof(11th powof(3*all 4cs
74  n1+2..=5559060566555525= Accy?(5*5*222362422662221? Gap 59999 >60061^3 cofactor? 10s.
75  n1+2..=5559060566555527= Accy?(31*43*4170338009419prime 2mn
76  n1+2..=5559060566555529= Accy?(3*11*139*1211916408667prime 1mn
77  n1+2..=5559060566555531= Accy?(7*25307*31380705319prime 25s.
78  n1+2..=5559060566555533= Accy?(8663*641701554491prime 1mn
79  n1+2..=5559060566555535= Accy?(3*5*13*1213*2729*8611969*all 76cs
80  n1+2..=5559060566555537= Accy?(17*53*157*1669*23546189*all 69cs
81  n1+2..=5559060566555539= Accy?(811* 21s.

83  n1+2..=5559060566555541= Accy?(3*3*29*29*734451125189prime 1mn
84  n1+2..=5559060566555543= Accy?(5559060566555543? Gap 59999 >60061^3 cofactor? 10s.
85  n1+2..=5559060566555545= Accy?(5*7*23*79*2383*36682117*all 89cs
86  n1+2..=5559060566555547= Accy?(3*227*61547*132631721prime 15s.
87  n1+2..=5559060566555549= Accy?(19*37*37*229*2543*366997*all 32cs
88  n1+2..=5559060566555551= Accy?(11*757*797*837634429*all 1s.
89  n1+2..=5559060566555553= Accy?(3*47*549167*71792299prime 54s.
90  n1+2..=5559060566555555= Accy?(5*1111812113311111? Gap 59999 >60061^3 cofactor? 10s.
91  n1+2..=5559060566555557= Accy?(61*103*109*397*20446423*all 46cs


92  n1+2..=5559060566555559= Accy?(3*3*7*7*6073*2075675863*all 3s.
93  n1+2..=5559060566555561= Accy?(13*41*15187*17923*38317*all 3s.
94  n1+2..=5559060566555563= Accy?(101*233*1831*2803*46027*all 59cs
95  n1+2..=5559060566555565= Accy?(3*5*23753*29581*527447*all 4s.
96  n1+2..=5559060566555567= Accy?(6037*471673*1952267prime 48s.

98  2^(prob-50)-1..=281474976710655= 3*3*5*7*13*17*97*241*257*673*all 15cs
99  2^(prob-50)-1..=562949953421311= 127* 30s.
100  2^(prob-64)-1..=68719476735= 3*3*5*7*13*19*3*37*73*109*all 10cs
101  2^(prob-64)-1..=137438953471= 223*616318177*all 1s.
102  2^(prob-64)-1..=274877906943= 3*174763*524287prime 24s.
103  2^(prob-64)-1..=549755813887= 7*79*8191*121369*all 60cs
104  2^(prob-64)-1..=1099511627775= 3*5*5*11*17*31*41*61681*all 12cs
105  2^(prob-64)-1..=2199023255551= 13367*164511353*all 3s.
106  2^(prob-64)-1..=4398046511103= 3*3*7*7*43*127*337*5419*all 14cs
107  2^(prob-64)-1..=8796093022207= 431*9719*2099863*all 1s.
108  2^(prob-64)-1..=17592186044415= 3*5*23*89*397*683*2113*all 18cs
109  2^(prob-64)-1..=35184372088831= 7*31*73*151*631*23311*all 19cs
110  2^(prob-64)-1..=70368744177663= 3*47*178481*2796203prime 25s.
111  2^(prob-64)-1..=140737488355327= 2351*4513*13264529*all 1s.



112  2^(prob-64)-1..=281474976710655= 3*3*5*7*13*17*97*241*257*673*all 15cs
113  2^(prob-64)-1..=562949953421311= 127* 10s.
contin.

Summry. at erl. 1700
problem # =114.   * = 562949953421311  Repeat n1.

2^(prob-64)-1..=562949953421311= 127*
  Time speed,  sec = 22.5199999999999996
>>114  2^(prob-64)-1..=562949953421311= 127* 22s.

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

