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A084754
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Triangle read by rows: row n lists the first n primes greater than n.
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2
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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, 29, 31, 11, 13, 17, 19, 23, 29, 31, 37, 11, 13, 17, 19, 23, 29, 31, 37, 41, 11, 13, 17, 19, 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
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OFFSET
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1,1
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LINKS
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FORMULA
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T(n, k) = prime(PrimePi(n) + k).
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EXAMPLE
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Triangle starts:
2;
3, 5;
5, 7, 11;
5, 7, 11, 13;
7, 11, 13, 17, 19;
7, 11, 13, 17, 19, 23;
...
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MATHEMATICA
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Table[Prime[PrimePi[n]+k], {n, 16}, {k, n}]//Flatten (* G. C. Greubel, May 13 2023 *)
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PROG
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(Magma) [NthPrime(#PrimesUpTo(n) + k): k in [1..n], n in [1..16]]; // G. C. Greubel, May 13 2023
(SageMath)
def A084754(n, k): return nth_prime(prime_pi(n)+k)
flatten([[A084754(n, k) for k in range(1, n+1)] for n in range(1, 17)]) # G. C. Greubel, May 13 2023
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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