A082312 Half the difference between start and center prime of the smallest [2n+1]-balanced prime set (A082080).

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

Offset

1,2

Links

Table of n, a(n) for n=1..59.

Example

The smallest 5-balanced prime, 79 (center of 71,73,79,83,89) minus 8 is 71, so a(2)=8/2=4.

Prog

(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, ")))

Crossrefs

Cf. A006562, A075540, A054800, A051795.

Sequence in context: A295278 A029663 A251723 * A239615 A195747 A238315

Adjacent sequences: A082309 A082310 A082311 * A082313 A082314 A082315

Keyword

nonn

Author

Ralf Stephan, Apr 09 2003

Status

approved