A379427 Numbers n such that prime(k)*n+prime(k+1), for k=1,...,8 all are primes.

5600384, 12269234, 12700154, 37311314, 53311754, 89357594, 102873404, 149030894, 195567434, 198261194, 329024954, 415090604, 446799044, 518371124, 548711084, 718560344, 832935284, 974972324, 980770004, 1006398854, 1053870704, 1081009334, 1084372994, 1119125894

Offset

1,1

Comments

There are no values of n such that prime(k)*n+prime(k+1), k=1,...,9 are all prime. See A108117 for a proof.

Links

Table of n, a(n) for n=1..24.

Example

5600384 is OK because 2*5600384+3, 3*5600384+5, 5*5600384+7, 7*5600384+11, 11*5600384+13, 13*5600384+17, 17*5600384+19 and 19*5600384+23 all are primes.

Prog

(PARI) \\ See isok from A108117
for(n=1, 2*10^9, if(isok(n, 8), print1(n", ")))

Crossrefs

Cf. A108110 (k=1..6), A108117 (k=1..7).

Sequence in context: A069316 A022210 A057882 * A210163 A114685 A234174

Adjacent sequences: A379399 A379400 A379426 * A379428 A379429 A379444

Keyword

nonn,new

Author

Jason Yuen, Dec 22 2024

Status

approved