A104160 Primes equal to a sum of primes with differences congruent to (2,4) mod 6.

353, 41, 131, 131, 311, 1181, 941, 1049, 1931, 2579, 3911, 4289, 4451, 6719, 8069, 10391, 10589, 12011, 14369, 26591, 31379, 33521, 35339, 41081, 43889, 58271, 59981, 63059, 64679, 66821, 115331, 74759, 77999, 78791, 80051, 80141, 83219, 87071, 94541, 96179

Offset: 1

Author

Giovanni Teofilatto, Mar 10 2005

Keywords

• nonn
• less

Comments

Consider finite ordered subsequences of at least 2 distinct primes A000040 subject to the conditions:

(i) the first differences of the subsequence are the initial terms of A047235,

(ii) the sum of the terms of the subsequence is a prime,

(iii) the subsequence is maximum in the sense that it cannot be extended by appending larger primes and still maintaining the conditions (i) and (ii).

Then the (prime) sum of the subsequence is one term of this sequence here.

The terms are inserted in order of the smallest prime in the subsequence.

Examples

			a(1)=353 because 353 = 5+7+11+19+29+43+59+79+101.
a(2)=41 because 41 = 11+13+17.
a(3)=131 because 131 = 17+19+23+31+41.
a(4)=131 because 131 = 41+43+47.
a(5)=311 because 311 = 101+103+107.
		

Extensions

41 inserted, 131 duplicated, 311 inserted and sequence extended and comment added by R. J. Mathar, Apr 23 2010