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A073326 Smallest x such that prime(x) == n (mod (x-pi(x)-1)). 3

%I #23 Sep 03 2019 09:40:52

%S 6,67,9,10,13,96,15,16,74,73,32,85,31,4086,228,611,28,30,44,616,263,

%T 617,43,4090,47,633,241,631,49,122195143823,48,102,123,622,62,120,65,

%U 103,112,108,64,4094,63,127,271,109,128,129,70,132,133,137,131,4060,644

%N Smallest x such that prime(x) == n (mod (x-pi(x)-1)).

%F a(n) = Min{x : A000040(x) == n (mod (x-A000720(x)-1)) }.

%e p(10) mod (10-PrimePi(10)-1) = 29 mod (10-4-1) = 29 mod 5 = 4 and a(4)=10.

%t a[n_] := (k = 4; While[ Mod[ Prime[k], k - PrimePi[k] - 1] != n, k++ ]; k); Table[ a[n], {n, 1, 29}]

%Y Cf. A000040, A000720, A073324, A073326.

%K nonn

%O 1,1

%A _Labos Elemer_, Jul 30 2002

%E Edited by _Robert G. Wilson v_, Jul 31 2002

%E a(30) from _Giovanni Resta_, Sep 02 2019

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Last modified April 23 05:20 EDT 2024. Contains 371906 sequences. (Running on oeis4.)