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Search: id:A089446
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| A089446 |
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Members of 7-tuples 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. |
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3
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| 2255507, 2255549, 2255551, 2255567, 2255569, 2255573, 2255581, 5206793, 5206819, 5206823, 5206829, 5206837, 5206841, 5206849
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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According to the current definition it is not guaranteed that the 7-tuples are formed by a(7m-6),...,a(7m); namely, this regularity ends if there is an 8-tuple with the same property. - M. F. Hasler, Apr 05 2009
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EXAMPLE
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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.
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CROSSREFS
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Cf. A089444, A089445.
Sequence in context: A034608 A046444 A089445 this_sequence A157726 A092017 A154676
Adjacent sequences: A089443 A089444 A089445 this_sequence A089447 A089448 A089449
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KEYWORD
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nonn
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AUTHOR
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Sven Simon (sven-h.simon(AT)t-online.de) and Bill Sindelar (w_sindelar(AT)juno.com), Nov 01 2003
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EXTENSIONS
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Edited (merged data from A089445 and A089446) by M. F. Hasler (MHasler(AT)univ-ag.fr), Apr 05 2009
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