This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A374613 #12 Jul 25 2024 15:20:11 %S A374613 29,71,73,79,83,127,131,137,167,173,193,197,211,223,229,233,239,251, %T A374613 269,331,347,349,373,419,421,431,433,439,457,467,487,503,509,541,563, %U A374613 577,587,619,641,647,653,659,661,691,719,727,733,743,751,797,809,811,821,829,839,853,859,863,887 %N A374613 Prime numbers p with the property that neither of 2*(p+next prime to p)+/-1 is prime. %C A374613 Conjecture: this sequence is infinite. %e A374613 2 is not a term because 2*(2+3)+1=11 is a prime. %e A374613 5 is not a term because 2*(5+7)-1=23 is a prime. %e A374613 29 is a term because neither 2(29+31)+1 nor 2(29+31)-1 is a prime. %t A374613 Prime[Select[Range[155], !PrimeQ[2(Prime[#]+Prime[#+1])-1] && !PrimeQ[2(Prime[#]+Prime[#+1])+1]&]] (* _Stefano Spezia_, Jul 15 2024 *) %K A374613 nonn %O A374613 1,1 %A A374613 _Marcin Barylski_, Jul 14 2024