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A084754 Triangle read by rows: row n lists the first n primes greater than n.

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%I A084754 #22 Apr 13 2024 19:38:42
%S A084754 2,3,5,5,7,11,5,7,11,13,7,11,13,17,19,7,11,13,17,19,23,11,13,17,19,23,
%T A084754 29,31,11,13,17,19,23,29,31,37,11,13,17,19,23,29,31,37,41,11,13,17,19,
%U A084754 23,29,31,37,41,43,13,17,19,23,29,31,37,41,43,47,53,13,17,19,23,29,31,37,41,43,47,53,59
%N A084754 Triangle read by rows: row n lists the first n primes greater than n.
%H A084754 G. C. Greubel, <a href="/A084754/b084754.txt">Rows n = 1..100 of the triangle, flattened</a>
%F A084754 From _G. C. Greubel_, May 13 2023: (Start)
%F A084754 T(n, k) = prime(PrimePi(n) + k).
%F A084754 T(n, 1) = A151800(n).
%F A084754 T(n, 2) = A101300(n). (End)
%e A084754 Triangle starts:
%e A084754   2;
%e A084754   3,  5;
%e A084754   5,  7, 11;
%e A084754   5,  7, 11, 13;
%e A084754   7, 11, 13, 17, 19;
%e A084754   7, 11, 13, 17, 19, 23;
%e A084754   ...
%t A084754 Table[Prime[PrimePi[n]+k], {n,16}, {k,n}]//Flatten (* _G. C. Greubel_, May 13 2023 *)
%o A084754 (Magma) [NthPrime(#PrimesUpTo(n) + k): k in [1..n], n in [1..16]]; // _G. C. Greubel_, May 13 2023
%o A084754 (SageMath)
%o A084754 def A084754(n,k): return nth_prime(prime_pi(n)+k)
%o A084754 flatten([[A084754(n,k) for k in range(1,n+1)] for n in range(1,17)]) # _G. C. Greubel_, May 13 2023
%Y A084754 Cf. A000040, A000720, A101300, A151800.
%K A084754 nonn,easy,tabl
%O A084754 1,1
%A A084754 _Amarnath Murthy_ and _Jason Earls_, Jul 12 2003
%E A084754 Edited by _David Wasserman_, Jan 05 2005