A243410 Primes p such that 1000p-1, 1000p-3, 1000p-7 and 1000p-9 are all prime.

10193, 13217, 34457, 36767, 57773, 76631, 103043, 157823, 191033, 194813, 212243, 229799, 242273, 242867, 249377, 256889, 261563, 264071, 361511, 457871, 486293, 502841, 508517, 647837, 653621, 694409, 697511, 777437, 798143, 825611, 847031

Offset: 1

Author

Derek Orr, Jun 04 2014

Keywords

• nonn
• less

Comments

Primes in A064977.

Examples

			10193 is prime and 1000*10193-1 = 10192999 is prime, 1000*10193-3 = 10192997 is prime, 1000*10193-7 = 10192993 is prime and 1000*10193-9 = 10192991 is prime. Thus 10193 is a member of this sequence.
		

Crossrefs

Cf. A242562, A064977.

Programs

PARI

for(n=1,10^5,if(ispseudoprime(1000*prime(n)-1) && ispseudoprime(1000*prime(n)-3) && ispseudoprime(1000*prime(n)-7) && ispseudoprime(1000*prime(n)-9),print1(prime(n),", ")))

Python

import sympy
from sympy import isprime
from sympy import prime
{print(prime(n),end=', ') for n in range(1,10**5) if isprime(1000*prime(n)-1) and isprime(1000*prime(n)-3) and isprime(1000*prime(n)-7) and isprime(1000*prime(n)-9)}