

A104160


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


2



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
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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



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



KEYWORD

nonn,less


AUTHOR



EXTENSIONS

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


STATUS

approved



