finite sequences

[Artur]

Interesting article about short sequences of primes
http://www.primepuzzles.net/puzzles/puzz_225.htm
ARTUR


Dnia 23-12-2006 o 15:14:43 Artur <grafix at csl.pl> napisał(a):

> %S A000001 0,2,-1,5,4,16,17,3,24,6,9,42,30,27,10,56,39
> %N A000001 Sum of all amplitudes for each prime number defined as  
> ((Prime[k + n] + Prime[k - n])/2) - Prime[k] for k=3,4,5,...,  
> n=1,2,..,k-3,k-2
> %e A000001 a(9)=24 because sum of amplitudes {2, 1, 0, 1, 2, 4, 3, 5,  
> 6}=24
> %O A000001 1
> %K A000001 ,nonn,
> %A A000001 Artur Jasinski (grafix at csl.pl), Dec 23 2006
>
>
> Dnia 23-12-2006 o 15:09:36 Artur <grafix at csl.pl> napisał(a):
>
>> %S A000001 5,11,13,17,29,31,37,41,51
>> %N A000001 Primes which have one or more zeroes amplitudes defined as  
>> ((Prime[k + n] + Prime[k - n])/2) - Prime[k] for k=3,4,5,...,  
>> n=1,2,..,k-3,k-2
>> %e A000001 31 belonging because one amplitude is zero {2, 1, 0, 1, 2,  
>> 4, 3, 5,
>> 6}
>> %O A000001 1
>> %K A000001 ,nonn,
>> %A A000001 Artur Jasinski (grafix at csl.pl), Dec 23 2006
>>
>>
>>
>> Dnia 23-12-2006 o 14:51:59 Artur <grafix at csl.pl> napisał(a):
>>
>>> %S A000001 5,7,13,19,23,31,43,47,73,83,109,113
>>> %N A000001 Primes which have only non-negative amplitudes defined as  
>>> ((Prime[k + n] + Prime[k - n])/2) - Prime[k] for k=3,4,5,...,  
>>> n=1,2,..,k-3,k-2
>>> %e A000001 31 belonging because all amplitudes are non-negative {2, 1,  
>>> 0, 1, 2, 4, 3, 5,
>>> 6} 29 don't belonging because some amplitudes are negative {-2, -1, 0,  
>>> -1, 0, 1, 3, 3}
>>> %O A000001 1
>>> %K A000001 ,nonn,
>>> %A A000001 Artur Jasinski (grafix at csl.pl), Dec 23 2006
>>>
>>>
>>> Dnia 23-12-2006 o 11:42:17 Artur <grafix at csl.pl> napisał(a):
>>>
>>>> D%I A126244
>>>> %S A126244 137, 135, 138, 132, 133, 135, 135, 137, 138, 135, 137,  
>>>> 136, 135, 135, 139,
>>>> 142, 143, 141, 140, 141, 141, 144, 144, 146, 146, 145, 147, 147, 147,  
>>>> 150,
>>>> 156, 157
>>>> %N A126244 numbers which are the arithmetic mean of n-th prime > 137  
>>>> and n-th prime < 137
>>>> %C A126244 Number 137 is 33-th prime number. Arithmetic mean with  
>>>> first prime isn't integer.
>>>> %t A126244 Table[(Prime[33 + n] + Prime[33 - n])/2, {n, 0, 31}]  
>>>> (*Artur Jasinski*)
>>>> %Y A126244 A126243
>>>> %O A126244 0
>>>> %K A126244 ,fini,nonn,
>>>> %A A126244 Artur Jasinski (grafix at csl.pl), Dec 23 2006
>>>>
>>>> __________ NOD32 Informacje 1935 (20061222) __________
>>>>
>>>> Wiadomosc zostala sprawdzona przez System Antywirusowy NOD32
>>>> http://www.nod32.com lub http://www.nod32.pl
>>>>
>>>
>>>
>>>
>>> __________ NOD32 Informacje 1935 (20061222) __________
>>>
>>> Wiadomosc zostala sprawdzona przez System Antywirusowy NOD32
>>> http://www.nod32.com lub http://www.nod32.pl
>>>
>>
>>
>>
>> __________ NOD32 Informacje 1935 (20061222) __________
>>
>> Wiadomosc zostala sprawdzona przez System Antywirusowy NOD32
>> http://www.nod32.com lub http://www.nod32.pl
>>
>
>
>
> __________ NOD32 Informacje 1935 (20061222) __________
>
> Wiadomosc zostala sprawdzona przez System Antywirusowy NOD32
> http://www.nod32.com lub http://www.nod32.pl
>