A162569 Primes of the form A001043(j)-3.

2, 5, 97, 109, 149, 317, 337, 349, 431, 709, 769, 1009, 1061, 1117, 1129, 1217, 1297, 2003, 2029, 2069, 2129, 2153, 2237, 2377, 2411, 2437, 2777, 2909, 2927, 3089, 3109, 3229, 3359, 3533, 3557, 3631, 4129, 4337, 4603, 4789, 4903, 4937, 5021, 5167, 5563, 5737

Offset: 1

Author

Claudio Meller, Jul 06 2009

Keywords

• nonn

Comments

Primes 3 less than the sum of two consecutive primes.

Examples

			2 = prime(1)+prime(2)-3 = 2+3-3 has the requested format and is added to the sequence.
5= prime(2)+prime(3)-3= 3+5-3 has the requested format and is added to the sequence.
97 = prime(15)+prime(16)-3 = 47+53-3.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Programs

Mathematica

Select[Table[Prime[n] + Prime[n + 1] - 3, {n, 600}], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Feb 22 2012 *)
Select[Total/@Partition[Prime[Range[500]],2,1]-3,PrimeQ] (* Harvey P. Dale, Feb 15 2025 *)

Extensions

Definition rephrased by R. J. Mathar, Aug 07 2009