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A103874 Numbers k such that 2*P(k) + 3, 2*P(k+1) + 5, 2*P(k+2) + 7, 2*P(k+3) + 11 are also consecutive primes where P(i) = i-th prime. 2

%I #9 Mar 05 2020 21:11:12

%S 110984,134934,147387,190915,349609,412066,432771,682320,782530,

%T 927635,999610,1006286,1010214,1098286,1199214,1487104,2275690,

%U 3410484,4133263,4165508,4783102,4785240,4977350,5037012,6047689,6151406,6427787,6744378,7047508,8315079,8579401

%N Numbers k such that 2*P(k) + 3, 2*P(k+1) + 5, 2*P(k+2) + 7, 2*P(k+3) + 11 are also consecutive primes where P(i) = i-th prime.

%o (PARI) lista(nn) = {my(k=1, v=[2, 3, 5, 7]); forprime(p=11, nn, k++; v=concat(v[2..4], p); if(ispseudoprime(2*v[1]+3) && nextprime(2*v[1]+4)==2*v[2]+5 && nextprime(2*v[2]+6)==2*v[3]+7 && nextprime(2*v[3]+8)==2*v[4]+11, print1(k, ", "))); } \\ _Jinyuan Wang_, Mar 05 2020

%Y Cf. A103873, A103875.

%K nonn

%O 1,1

%A _Pierre CAMI_, Feb 19 2005

%E More terms from _Jinyuan Wang_, Mar 05 2020

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)