A180948 Smallest of seven (7) consecutive primes whose sum is a prime.

17, 19, 23, 29, 31, 43, 47, 53, 61, 71, 79, 89, 97, 103, 107, 113, 127, 137, 151, 233, 257, 313, 317, 359, 367, 373, 379, 383, 401, 461, 463, 487, 499, 503, 509, 521, 577, 587, 617, 619, 761, 797, 821, 827, 839, 853, 881, 883, 907, 1019, 1061, 1063, 1069, 1097

Offset: 1

Author

Carmine Suriano, Sep 27 2010

Keywords

• nonn

Comments

There are twins such as (17,19); (461,463); (1061,1063).

There are also consecutives such as (17,19,23,29,31); (359,367,373,379,383); (1949,1951,1973).

Examples

			a(7)=47+53+59+61+67+71+73=431 is a prime.
		

Links

• Zak Seidov, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A073681, A082246, A152468, A189571, A180950, A226380.

Programs

Mathematica

Transpose[Select[Partition[Prime[Range[500]],7,1],PrimeQ[Total[#]]&]] [[1]] (* Harvey P. Dale, Jun 05 2013 *)

Extensions

More cross references from Harvey P. Dale, Jun 05 2013