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Search: id:A132955
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| A132955 |
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Smallest prime in a sequence of n consecutive primes which add to a perfect square. |
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+0
3
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| 17, 13, 5, 181, 587, 13, 163, 2, 13789, 1013, 163, 653, 11, 3931, 397, 2039, 439, 4447, 1217, 269, 1733, 3, 5, 2239, 197, 3, 1061, 14563, 1901, 3, 149, 359, 2137, 67, 433, 11, 907, 2339, 673, 19181, 11593, 89, 6883, 3, 28571, 997, 43, 3559, 2287, 1931, 911
(list; graph; listen)
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OFFSET
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2,1
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FORMULA
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a(n)={ min prime(k): [ sum(j=k..k+n-1) prime(j)] in A000290}. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 27 2007
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EXAMPLE
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a(2)=17, because it is the smallest prime in a sequence of n=2 consecutive primes, which add to a perfect square, namley 17+19=36=6^2. The sums of earlier pairs, 2+3, 3+5, 5+7, 7+11 etc. fail to produces sums which are any perfect square.
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CROSSREFS
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Cf. A132956 A132957.
Cf. A132956, A132957.
Sequence in context: A106791 A040274 A073887 this_sequence A063518 A089502 A128158
Adjacent sequences: A132952 A132953 A132954 this_sequence A132956 A132957 A132958
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), Sep 06 2007
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 27 2007
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