

A089446


Members of 7tuples of consecutive primes (p(k),p(k+1),...,p(k+6)) such that p(n)+p(n+1)+...+p(n+4), n=k,...,k+2, are again 3 consecutive primes.


3



2255507, 2255549, 2255551, 2255567, 2255569, 2255573, 2255581, 5206793, 5206819, 5206823, 5206829, 5206837, 5206841, 5206849
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OFFSET

1,1


COMMENTS

According to the current definition it is not guaranteed that the 7tuples are formed by a(7m6),...,a(7m); namely, this regularity ends if there is an 8tuple with the same property.  M. F. Hasler, Apr 05 2009


LINKS



EXAMPLE

a(1),...,a(7) are seven consecutive primes and the sums of 5 consecutive elements,
2255507+2255549+2255551+2255567+2255569 = 11277743,
2255549+2255551+2255567+2255569+2255573 = 11277809 and
2255551+2255567+2255569+2255573+2255581 = 11277841 are again 3 consecutive primes. Similarly,
5206793+5206819+5206823+5206829+5206837 = 26034101,
5206819+5206823+5206829+5206837+5206841 = 26034149 and
5206823+5206829+5206837+5206841+5206849 = 26034179 are also 3 consecutive primes.


CROSSREFS



KEYWORD

nonn


AUTHOR

Sven Simon and Bill Sindelar (w_sindelar(AT)juno.com), Nov 01 2003


EXTENSIONS



STATUS

approved



