[seqfan] {Spam?} A060085, A001992

[Don Reble]

%I A060085
%S 2,3,5,53,773,173,293,2477,22613,9173,61613,280013,92333,74093,170957,
   360293,679733,36300197,2004917,69009533
%N a(n) gives least prime for which the n-th prime is the least prime
   which is not a primitive root of a(n) (see A060084), or 0 if the n-th
   prime never occurs in A060084.
%C Note that these are the smallest primes such that exactly the first n
   primes are primitive roots.
%O 1,1

    More terms are below.

    If one removes the word "exactly" from that comment, one defines a
    new sequence, which rather resembles A001992. (But there's 777133013
    instead of 384479933. The error mentioned in the A001992 reference
    is at the same place, but is unrelated!)

A060085        new
-------        ---
2              2
3              3
5              5
53             53
773            173
173            173
293            293
2477           2477
22613          9173
9173           9173
61613          61613
280013         74093
92333          74093
74093          74093
170957         170957
360293         360293
679733         679733
36300197       2004917
2004917        2004917
69009533       69009533
138473837      138473837
237536213      237536213
777133013      777133013
883597853      883597853
2411100677     1728061733
3519879677     1728061733
2050312613     1728061733
19570048973    1728061733
80471253917    1728061733
65315700413    1728061733
1728061733     1728061733
9447241877     9447241877
1134843991613  49107823133
1094970590573  49107823133
49107823133    49107823133
1843103135837  1843103135837
6994355513477  4316096218013
4316096218013  4316096218013
21386742759653 15021875771117
15021875771117 15021875771117

%C A060085 ... does a value exist for all primes?

    Thanks to quadratic reciprocity and Dirichlet, we needn't ask that
    for A001992. I bet it's still unknown for A060085 and the new
    sequence.

-- 
Don Reble  djr at nk.ca


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