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Search: id:A165286
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| A165286 |
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Primes which are the sum of two or more consecutive terms of A072055. |
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+0
1
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| 23, 61, 83, 101, 139, 157, 197, 263, 283, 293, 331, 349, 367, 383, 401, 449, 491, 509, 541, 569, 571, 577, 641, 659, 661, 701, 751, 773, 809, 811, 853, 859, 881, 887, 967, 977, 997, 1009, 1039, 1069, 1117, 1123, 1181, 1193, 1217, 1237, 1279, 1283, 1361
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The terms in A072055 are odd, so the count of terms in the sum must be odd to yield a prime.
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EXAMPLE
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a(1)= 5+7+11 = sum_{i=1..3} A072055(i) = 23.
a(2) = sum_{i=1..5} A072055(i) = 5+7+11+15+23 = 61. a(3) = 7+11+15+23+27 = 83.
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MATHEMATICA
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lst={}; Do[s=2*Prime[m]+1; Do[p=Prime[n]; s+=(2*p+1); If[PrimeQ[s], If[s<=6949, AppendTo[lst, s]]], {n, m+1, 6!}], {m, 1, 6!}]; lst=Take[Union@lst, 200]
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CROSSREFS
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Cf. A165285
Sequence in context: A055821 A080822 A068363 this_sequence A031342 A141870 A115685
Adjacent sequences: A165283 A165284 A165285 this_sequence A165287 A165288 A165289
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 13 2009
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EXTENSIONS
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Redefined in terms of A072055; cross-references to unrelated sequences deleted - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 16 2009
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