

A337160


Primes p such that the 3 X 3 matrix with components (row by row) prime(k+m), 0 <= m <= 8 has zero determinant, where p = prime(k).


0



2213, 4073, 8011, 9041, 15649, 23663, 37483, 38453, 59663, 63487, 65111, 71861, 83557, 97157, 100279, 118801, 129527, 131707, 139291, 163601, 166597, 166799, 180181, 180233, 195691, 203807, 209233, 217201, 227561, 238657, 289139, 309121, 327473
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OFFSET

1,1


COMMENTS

Primes arising from A117345.


LINKS

Table of n, a(n) for n=1..33.


FORMULA

a(n) = prime(A117345(n)).


EXAMPLE

The next 8 primes after 2213 are 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, and we have det({{2213, 2221, 2237}, {2239, 2243, 2251}, {2267, 2269, 2273}}) = 0, hence 2213 is a term.


PROG

(PARI) for(k=1, 35000, M=matrix(3, 3, i, j, prime(k+3*(i1)+j1)); if(matdet(M, 1)==0, print1(prime(k), ", ")))


CROSSREFS

Cf. A117330, A117345, A340923.
Sequence in context: A077693 A253735 A259892 * A138079 A183831 A234867
Adjacent sequences: A337157 A337158 A337159 * A337161 A337162 A337163


KEYWORD

nonn


AUTHOR

Jianing Song, Jan 28 2021


STATUS

approved



