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
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.
Programs
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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),", ")))
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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)}
Comments