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Search: id:A064187
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| A064187 |
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First of n^2 odd consecutive primes whose sum (=S) is divisible by n and S/n = n mod 2. |
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+0
1
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| 3, 5, 23, 5, 13, 7, 7, 79, 37, 23, 67, 89, 13, 89, 131, 31, 71, 47, 43, 73, 277, 353, 41, 67, 127, 223, 79, 13, 193, 5, 23, 43, 5, 67, 3, 19, 5, 59, 59, 653, 19, 19, 97, 409, 5, 383, 29, 137, 379, 349, 653, 1187, 47, 41, 37, 17, 619, 89, 283, 283, 43, 479, 191
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A necessary condition for the existence of a magic square consisting of n^2 consecutive odd primes.
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EXAMPLE
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a(5)=13 since 13+17+ ... +113 = 1565 = 5*313 and 313 = 5 mod 2.
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PROGRAM
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(PARI) for(n=1, 50, k=2; m=n^2; aflag=0; while(k+m<=500000&&aflag==0, s=0; for(x=k, k+m-1, s=s+prime(x)); if(s%n==0&&(s/n)%2==n%2, print(prime(k)); aflag=1); k++))
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CROSSREFS
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Position of 3's gives A064013.
Sequence in context: A025098 A025117 A124423 this_sequence A112686 A088121 A137084
Adjacent sequences: A064184 A064185 A064186 this_sequence A064188 A064189 A064190
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KEYWORD
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nonn
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AUTHOR
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H. K. Gottlob Maier (1korrago(AT)freenet.de), Sep 20, 2001
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