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Search: id:A067377
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| A067377 |
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Primes expressible as the sum of (at least two) consecutive primes in at least 1 way. |
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3
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| 5, 17, 23, 31, 41, 53, 59, 67, 71, 83, 97, 101, 109, 127, 131, 139, 173, 181, 197, 199, 211, 223, 233, 251, 263, 269, 271, 281, 311, 331, 349, 353, 373, 379, 401, 421, 431, 439, 443, 449, 457, 463, 479, 487, 491, 499, 503, 523, 563, 587, 593, 607, 617, 631
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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P. De Geest, WONplate 122
C. Rivera, Puzzle 46
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EXAMPLE
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The prime 83, for example, is the sum of the consecutive primes 11+13+17+19+23.
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MATHEMATICA
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p = {}; Do[a = Table[ Prime[i], {i, n, 150}]; l = Length[a]; k = 2; While[k < l + 1, b = Plus @@@ Partition[a, k]; k++; p = Append[ p, Select[ b, PrimeQ[ # ] &]]], {n, 1, 149}]; Take[ Union[ Flatten[p]], 70]
m=5!; lst={}; Do[p=Prime[a]; Do[p+=Prime[b]; If[PrimeQ[p]&&p<=Prime[m]*3+8, AppendTo[lst, p]], {b, a+1, m+2, 1}], {a, m}]; Union[lst] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 15 2009]
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CROSSREFS
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Cf. A050936, A067372-A067381.
Sequence in context: A022141 A091209 A054997 this_sequence A153504 A044438 A101414
Adjacent sequences: A067374 A067375 A067376 this_sequence A067378 A067379 A067380
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KEYWORD
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nonn
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), Feb 04 2002.
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