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Search: id:A164556
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| A164556 |
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Primes expressible as the sum of (at least two) consecutive primes in at least 5 ways. |
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1
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| 34421, 229841, 235493, 271919, 345011, 358877, 414221, 442019, 488603, 532823, 621937, 655561, 824099, 888793, 896341, 935791, 954623, 963173, 988321, 1055969, 1083371, 1083941, 1115911, 1170857, 1261763, 1338823, 1352863, 1409299
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Subsequence of A067380.
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FORMULA
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A067375 INTERSECT A000040.
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EXAMPLE
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a(1) = 34421 = sum_{i=57..127} prime(i) = sum_{i=226..248} prime(i) = sum_{i=527..535} prime(i) =
sum_{i=654..660} prime(i) = sum_{i=1382..1384} prime(i) and
a(3) = 235493 = sum_{i=50..284} prime(i) = sum_{i=120..300} prime(i) = sum_{i=123..301} prime(i) =
sum_{i=334..424} prime(i) = sum_{i=7701..7703} prime(i)
are expressible in 5 ways as the sum of two or more consecutive primes.
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MATHEMATICA
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m=3*7!; lst={}; Do[p=Prime[a]; Do[p+=Prime[b]; If[PrimeQ[p]&&p<Prime[m]*3+8, AppendTo[lst, p]], {b, a+1, m, 1}], {a, m}]; lst1=Sort[lst]; lst={};
Do[If[lst1[[n]]==lst1[[n+1]]&&lst1[[n]]==lst1[[n+2]]&&lst1[[n]]==lst1[[n+3]]&&ls\ t1[[n]]==lst1[[n+4]], AppendTo[lst, lst1[[n]]]], {n, Length[lst1]-4}]; Union[lst]
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CROSSREFS
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Cf. A067377, A067378, A067379, A067380, A067381.
Sequence in context: A142587 A116496 A055001 this_sequence A068703 A081428 A023336
Adjacent sequences: A164553 A164554 A164555 this_sequence A164557 A164558 A164559
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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), Aug 15 2009
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EXTENSIONS
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Examples added by R. J. Mathar (mathar(AT)strw.leidenuiv.nl), Aug 19 2009
a(10)-a(28) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 16 2009
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