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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 (list; graph; refs; listen; history; text; internal format)
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
Sequence in context: A256763 A279583 A156177 * A245440 A145023 A343714
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

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Last modified July 22 10:19 EDT 2024. Contains 374490 sequences. (Running on oeis4.)