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

1,1

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.

Links

Table of n, a(n) for n=1..40.

Example

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.

Crossrefs

Sequence in context: A256763 A279583 A156177 * A245440 A145023 A343714

Adjacent sequences: A104157 A104158 A104159 * A104161 A104162 A104163

Keyword

nonn,less

Author

Giovanni Teofilatto, Mar 10 2005

Extensions

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

Status

approved