A116936 Numbers n such that in the 3 X 3 square arrangement of the 9 primes prime(n),...,prime(n+8), the 3 row sums, 3 column sums and 2 diagonal sums are all prime.

417979, 5828779, 6778746, 9866895, 20250501, 20583048, 20688247, 26172783, 35972619, 60914800, 67162336, 78692065, 78798340, 101105398, 104627288, 126648015, 131916133, 138376385, 170592575, 172837628, 180756151

Offset

1,1

Comments

n such that prime(n)+prime(n+1)+prime(n+2), prime(n+3)+prime(n+4)+prime(n+5), prime(n+6)+prime(n+7)+prime(n+8), prime(n)+prime(n+3)+prime(n+6), prime(n+1)+prime(n+4)+prime(n+7), prime(n+2)+prime(n+5)+prime(n+8), prime(n)+prime(n+4)+prime(n+8), prime(n+2)+prime(n+4)+prime(n+5) are all prime. - Robert Israel, Jan 24 2018

Links

Table of n, a(n) for n=1..21.

Example

417979 is in the sequence because prime(417979) = 6080051 and we have this 3 X 3 square with the desired property:
.
           6080051   6080059   6080069   => 18240179
.
           6080131   6080141   6080147   => 18240419
.
           6080149   6080153   6080161   => 18240463
         //   ||        ||        ||   \\
  18240359    VV        VV        VV   18240353
           18240331  18240353  18240377

Crossrefs

Cf. A097231.

Sequence in context: A104920 A151838 A259404 * A255081 A206315 A184373

Adjacent sequences: A116933 A116934 A116935 * A116937 A116938 A116939

Keyword

nonn

Author

Zak Seidov, Feb 27 2006

Extensions

Extended by D. S. McNeil, Dec 16 2010

Status

approved