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Search: id:A078763
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| A078763 |
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List primes between (2n-1)^2 and (2n)^2. |
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+0
2
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| 2, 3, 11, 13, 29, 31, 53, 59, 61, 83, 89, 97, 127, 131, 137, 139, 173, 179, 181, 191, 193, 227, 229, 233, 239, 241, 251, 293, 307, 311, 313, 317, 367, 373, 379, 383, 389, 397, 443, 449, 457, 461, 463, 467, 479, 541, 547, 557, 563, 569, 571, 631, 641, 643, 647
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Primes are on adjacent sides of the Ulam square prime-spiral.
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EXAMPLE
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The 2 primes between 3^2=9 (odd) and 4^2=16 (even) are just a(3)=11 and a(4)=13.
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MATHEMATICA
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f[n_] := Select[Range[(2n - 1)^2, (2n)^2], PrimeQ]; Flatten@Array[f, 13] (*Chandler*)
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CROSSREFS
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Cf. A014085, A078764.
Sequence in context: A038874 A040101 A045317 this_sequence A085306 A123239 A048891
Adjacent sequences: A078760 A078761 A078762 this_sequence A078764 A078765 A078766
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KEYWORD
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easy,nonn
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AUTHOR
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Donald S. McDonald (don.mcdonald(AT)paradise.net.nz), Jan 09 2003
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), May 03 2007
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