A092938: uned? conjecture?

[zak seidov]

Dear SF gurus,

What is needed to be edited here?

Is this conjecture proved?:

%C A092938 The maximum value of p = prime(n).
Conjecture: a(n)= prime(n) only for n = 1 and 2.

Calcs show that 
a(n)-prime{n} steadily increases 
(with minor glitches).

Thanks, Zak

%I A092938
%S A092938 2,3,3,3,3,3,3,7,3,5,3,3,3,3,5,3
%N A092938 a(n) = p where p is the least prime so that
prime(n) = (p+q)/2, q is also a prime. 
               Or the least prime of the form
2*prime(n)- q, q is a prime.
%C A092938 The maximum value of p = prime(n).
Conjecture: a(n)= prime(n) only for n = 1 and 
               2.
%e A092938 a(8) = 7 as prime(8)= 19, 19 = (3+35)/2 =
(5+33)/2 = (7+31)/2=...
%Y A092938 Cf. A092939, A092940.
%Y A092938 Sequence in context: A025784 A035390
A114344 this_sequence A068953 A004258 A109785
%Y A092938 Adjacent sequences: A092935 A092936 A092937
this_sequence A092939 A092940 A092941
%K A092938 more,nonn,uned
%O A092938 1,1
%A A092938 Amarnath Murthy
(amarnath_murthy(AT)yahoo.com), Mar 23 2004



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