(MAGMAMagma) [NthPrime(n): n in [1..200] | IsPrime(NthPrime(n)+6*n)]

OEIS Server: https://oeis.org/edit/global/2944

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Bruno Berselli: 3 contributions per day, Vincenzo. Thanks.

prime(5)=) = 11 is in the sequence because 11+ + 6*5 = 41 is prime.

prime(8)=) = 19 is in the sequence because 19+ + 6*8 = 67 is prime.

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Alonso del Arte: What insight does  prime(n) + 6n being prime give us, if any?

Vincenzo Librandi: Alonso, sequence between A254462 - A254665. Thanks

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Vincenzo Librandi, <a href="/A254672/b254672.txt">Table of n, a(n) for n = 1..1000</a>

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allocatedPrimes prime(n) such that prime(n) + 6*n foris Vincenzoalso Librandiprime.

5, 7, 11, 17, 19, 29, 31, 37, 43, 47, 53, 67, 71, 73, 79, 89, 101, 109, 113, 127, 149, 151, 157, 167, 181, 191, 193, 197, 227, 257, 263, 271, 277, 281, 331, 347, 349, 379, 383, 431, 433, 449, 467, 479, 499, 509, 521, 523, 547, 563, 569, 571, 577, 587, 619, 631

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prime(5)=11 is in the sequence because 11+6*5 = 41 is prime.

prime(8)=19 is in the sequence because 19+6*8 = 67 is prime.

Prime[Select[Range[150], PrimeQ[Prime[#] + 6 #] &]]

(MAGMA) [NthPrime(n): n in [1..200] | IsPrime(NthPrime(n)+6*n)]

Cf. A061067, A231232, A231383, A254462, A254665, A254673.

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Vincenzo Librandi, Feb 05 2015

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