A254673 Primes prime(n) such that prime(n) + 4*n is also prime.
3, 5, 7, 11, 13, 23, 47, 59, 71, 73, 79, 97, 103, 113, 127, 137, 181, 199, 251, 263, 271, 281, 293, 331, 359, 367, 397, 419, 433, 443, 449, 457, 463, 487, 503, 523, 541, 571, 607, 613, 617, 631, 653, 709, 719, 751, 761, 773, 829, 839, 877, 881, 953, 967, 971
Offset: 1
Keywords
Examples
prime(4)=7 is in the sequence because 7+4*4 = 23 is prime. prime(6)=13 is in the sequence because 13+4*6 = 37 is prime.
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Programs
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Magma
[NthPrime(n): n in [1..200] | IsPrime(NthPrime(n)+4*n)]
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Mathematica
Prime[Select[Range[180], PrimeQ[Prime[#] + 4 #] &]]