A135045: missed terms(?)

Richard Mathar mathar at strw.leidenuniv.nl
Sat Feb 16 17:13:18 CET 2008


http://primes.utm.edu/curios/page.php?number_id=634

now includes:

" 151
The largest prime number of dollars which is the sum of the
denominations of any three USA bank notes in common circulation.
[Post]"

"nominals" is not quite synonymous with "denominations."

On Feb 16, 2008 7:59 AM, zak seidov <zakseidov at yahoo.com> wrote:
> Dear Neil, seqfans,
>
> 1) can anyone check/extend these figures?
> 2) what about case n => inf?
> 3) is this worth submitting?
>
> thanks, zak
>
>
> %N A1 Number of sums payable by exactly n banknotes of
> nominals 1,5,10,20,50,100.
>
> %S A1 6, 15, 52, 103, 174, 262, 360, 461, 561, 660.
>
> %e A1
> n=1: 6 payable sums are 1,5,10,20,50,100;
> n=2: 15 sums are 2,6,10,11,15,20,21,25,30,40,51,
> 55,60,70,100;
> n=3: 52 sums are in A135137;
> n=4: 103 sums are:
> 4,8,12,13,16,17,20,21,22,23,25,26,27,30,31,32,35,36,40,41,42,45,46,50,51,53,55,57,60,61,62,65,66,70,71,72,75,76,80,81,85,90,91,95,100,102,103,106,107,110,111,112,115,116,120,121,122,125,126,130,131,135,140,141,145,150,151,152,155,156,160,161,165,170,171,175,180,190,200,201,202,205,206,210,211,215,220,221,225,230,240,250,251,255,260,270,300,301,305,310,320,350,400.
>
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