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

Author

Jason Yuen, Dec 22 2024

Keywords

• nonn

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.

Examples

			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.
		

Crossrefs

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

Programs

PARI

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