A180946 Primes p such that p(i)*p(i+1)+p(i+2)+p(i+3) is a prime.

5, 7, 11, 13, 29, 31, 37, 61, 67, 73, 89, 97, 103, 107, 139, 157, 167, 179, 181, 193, 233, 283, 349, 367, 409, 433, 569, 587, 599, 607, 619, 691, 743, 761, 769, 809, 823, 1021, 1039, 1051, 1151, 1201, 1291, 1319, 1361, 1373, 1399, 1481, 1483, 1499, 1549, 1567

Offset: 1

Author

Carmine Suriano, Sep 27 2010

Keywords

• nonn

Comments

There are twin primes in the sequence: e.g (29,31); (179,181); (1481,1483).

There are consecutive primes also: e.g. (29,31,37); (1663,1667); (1777,1783).

Examples

			a(5)=29 since 29*31+37+41=977 is a prime.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040, A180944

Programs

Mathematica

Transpose[Select[Partition[Prime[Range[260]],4,1],PrimeQ[#[[1]]#[[2]]+ #[[3]]+ #[[4]]]&]][[1]] (* Harvey P. Dale, Jan 01 2012 *)

Extensions

Inserted 1021 to 1201 - R. J. Mathar, Oct 23 2010