A364411 -id:A364411 - cp's OEIS frontend

A094105 Primes of the form prime(k) + 2*prime(k+1).

13, 19, 29, 37, 47, 127, 137, 181, 283, 307, 317, 367, 389, 541, 563, 577, 587, 677, 743, 811, 839, 907, 929, 937, 947, 1031, 1093, 1283, 1297, 1453, 1489, 1567, 1801, 1847, 1913, 2027, 2347, 2381, 2467, 2477, 2617, 2647, 2657, 2729, 2749, 2777, 2803, 2819

Offset: 1

Giovanni Teofilatto, May 02 2004

No intersection with A094104 (Primes of the form 2*prime(m)+prime(m+1)): an integer of the form 2*prime(m)+prime(m+1) cannot be of the form prime(n)+2*prime(n+1). - Zak Seidov, Feb 16 2012

			a(9) = 89 + 2*97 = 283.

Zak Seidov, Table of n, a(n) for n = 1..1001 [a(273), a(274) corrected by _Georg Fischer_, Jan 03 2025]

Cf. A094104, A364411.

[a: n in [1..200] | IsPrime(a) where a is NthPrime(n) + 2*NthPrime(n+1)]; // Vincenzo Librandi, Jul 25 2015

f[n_] := (Prime[n] + 2Prime[n + 1]); f[ # ] & /@ Select[Range[160], PrimeQ[f[ # ]] &] (* Robert G. Wilson v, May 07 2004 *)
Select[#[[1]]+2*#[[2]]&/@Partition[Prime[Range[200]],2,1],PrimeQ] (* Harvey P. Dale, May 08 2015 *)
Select[Table[Prime[n] + 2 Prime[n + 1], {n, 200}], PrimeQ] (* Vincenzo Librandi, Jul 25 2015 *)

q=2;forprime(p=3,1000,if(isprime(r=q+2*p),print1(r,","));q=p)

Corrected and extended by Klaus Brockhaus and Robert G. Wilson v, May 07 2004

A375097 a(n) = prime(n+2) - (prime(n) + prime(n+1))/2.

Original entry on oeis.org

3, 5, 4, 5, 4, 5, 8, 5, 7, 7, 4, 5, 8, 9, 5, 7, 7, 4, 7, 7, 8, 11, 8, 4, 5, 4, 5, 16, 11, 8, 5, 11, 7, 7, 9, 7, 8, 9, 5, 11, 7, 5, 4, 13, 18, 10, 4, 5, 8, 5, 11, 11, 9, 9, 5, 7, 7, 4, 11, 19, 11, 4, 5, 16, 13, 13, 7, 5, 8, 11, 10, 9, 7, 8, 11, 8, 10, 14, 7, 11

Offset: 2

Hugo Pfoertner, Jul 30 2024

Michael De Vlieger, Table of n, a(n) for n = 2..10000

Cf. A024675, A096379, A191472, A305748, A364411.

Array[#3 - (#1 + #2)/2 & @@ Prime[{#, # + 1, # + 2}] &, 80, 2] (* Michael De Vlieger, Jul 30 2024 *)

a(n) = prime(n+2) - (prime(n) + prime(n+1))/2

cp's OEIS Frontend

A094105 Primes of the form prime(k) + 2*prime(k+1).

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