Mean of 10^9 consecutive primes?

zak seidov zakseidov at yahoo.com
Thu Sep 28 08:49:48 CEST 2006


Dear seq_gurus,

Not yet appeared in OEIS.

Can anyone make this for 10^9 (12?)
consecutive primes -
and submit it to Neil.

Thanks, Zak

%I A000001
%S A000001 
11860710,19524458,30466003,57980974,63924288,90876871,98124660,100711080,107813124,130902871,133345096,137765645,149928192,187600902,214934436,223349020
%N A000001 Arithmetic mean of 1000000 consecutive
primes.
%C A000001 Corresponding indices of the first primes
are:
275775,740092,1383476,2948575,3280201,4764532,5159226,5299723,5684491,6926061,7056669,7292768,7940227,9929283,11358606,11796712
Cf. A102655 Numbers which are the arithmetic mean of
four successive 
primes.
A122040 Numbers which are equal to arithmetic mean of
six successive 
primes.
A122480 Least k>2 such that n is equal to
arithmetic mean of k 
consecutive primes.
A122808 Least number that is the arithmetic mean of n
(but no fewer) 
consecutive primes.
%e A000001 
(p(275775)+p(275776)+...+p(275775+999998)+p(275775+999999))/1000000=11860710,
p(n)=nth prime.
%Y A000001 A102655, A122040,A122480, A122808.
%O A000001 1
%K A000001 ,nonn,
%A A000001 Zak Seidov (zakseidov at yahoo.com), Sep 27
2006


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