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Search: id:A082312
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| A082312 |
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Half the difference between start and center prime of the smallest [2n+1]-balanced prime set (A082080). |
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+0
2
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| 1, 4, 5, 14, 11, 14, 12, 15, 32, 36, 32, 30, 41, 65, 42, 41, 53, 45, 75, 76, 69, 63, 99, 98, 60, 112, 99, 84, 94, 130, 132, 103, 87, 140, 172, 175, 144, 190, 171, 140, 200, 145, 203, 190, 155, 168, 202, 210, 144, 157, 254, 185, 189, 306, 201, 323, 303, 229, 267
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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The smallest 5-balanced prime, 79 (center of 71,73,79,83,89) minus 8 is 71, so a(2)=8/2=4.
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PROGRAM
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(PARI) for(n=1, 80, i=2*n+1:f=0:forprime(p=2, 10^7, s=0:c=i:pr=p-1:t=0:while(c>0, c=c-1:pr=nextprime(pr+1):s=s+pr: if(c==(i-1)/2, t=pr)): if(s/i==t, print1((t-p)/2", "):f=1:break)): if(!f, print1("0, ")))
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CROSSREFS
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Cf. A006562, A075540, A054800, A051795.
Sequence in context: A071341 A102981 A029663 this_sequence A091311 A008540 A000867
Adjacent sequences: A082309 A082310 A082311 this_sequence A082313 A082314 A082315
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KEYWORD
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nonn
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AUTHOR
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Ralf Stephan (ralf(AT)ark.in-berlin.de), Apr 09 2003
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