Number of positive solutions of the Diophantine x*p+y*q=(p+q)^3,

[Max Alekseyev]

Let's continue for powers of 10:

1 21
2 241
3 4353
4 63385
5 837889
6 10397721
7 123886921
8 1435397457
9 16304597977
10 182414108009
11 2016782405009
12 22085818420305
13 239969794206737
14 2590244071570841
15 27803086068196457
16 296996064360523705
17 3159255311229882825
18 33482372651741565385
19 353694321878657354737

Regards,
Max


On Tue, Feb 26, 2008 at 5:25 AM, Jacques Tramu
<jacques.tramu at echolalie.com> wrote:
>
>  Correct ?
>  Yes, checked with another program and found same sequence, up to n=100.
>  Other terms : (n,number of solutions) :
>
>  10      241
>  100     4353
>  1000    63385
>  10000   837889
>  100000  10397721
>  1000000 123886921
>  10000000        1435397457
>  100000000       16304597977
>  1000000000      182414108009
>  10000000000     2016782405009
>
>  Regards,
>  Jacques.
>
>  ---------------------------------------------------------
>
> ----- Original Message -----
>  From: "zak seidov" <zakseidov at yahoo.com>
>
>
>  > Dear seqfans,
>  > is it
>  > new/correct/interesting/nice,
>  > or
>  > old/wrong/dumb?
>  > thanks, zak
>  >
>
> > 21,34,49,76,97,122,145,169,211,241,274,313,337,361,401,449,481,513,553,577,609,649,689,745,793,817,841,865,889,963,1033,1073,1105,1153,1201,1233,1281,1321,1361,1409,1441,1489,1537,1561,1585,1641,1737,1801,1825,1849,1889,1921,1969,2033,2081,2129,2161,2193,2233,2257,2305,2401,2473,2497,2521,2593,2673,2737,2785,2809,2849,2905,2961,3009,3049,3089,3145,3193,3241,3313,3361,3409,3457,3489,3529,3569,3625,3673,3697,3721,3785,3865,3913,3961,4009,4049,4121,4177,4257,4353
>  > %N A000001 Number of positive solutions of the
>  > Diophantine x*p+y*q=(p+q)^3, p=n-th prime, q=(n+1)-th
>  > prime.
>
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>