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 A282704 #17 Sep 08 2022 08:46:18 %S A282704 1,3,11,59,419,4619,60059,1021019,19399379,446185739,12939386459, %T A282704 401120980259,14841476269619,608500527054419,26165522663340059, %U A282704 1229779565176982819,65178316954380089459,3845520700308425278139,234576762718813941966539 %N A282704 (Twice product of first n primes) - 1. %C A282704 Used to prove there are infinitely many primes of the form 4k-1 (see A282705). %D A282704 T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 147. %H A282704 Vincenzo Librandi, <a href="/A282704/b282704.txt">Table of n, a(n) for n = 0..200</a> %p A282704 f:=n->mul(ithprime(i),i=1..n); s1 := [seq(2*f(n)-1,n=0..20)]; %t A282704 Join[{1}, 2 Denominator[Accumulate[1/Prime[Range[20]] - 1]] - 1] (* _Vincenzo Librandi_, Feb 28 2017 *) %t A282704 Join[{1},2*FoldList[Times,Prime[Range[20]]]-1] (* _Harvey P. Dale_, Oct 09 2017 *) %o A282704 (Magma) [1] cat [2*&*PrimesUpTo(p)-1: p in PrimesUpTo(70)]; // _Vincenzo Librandi_, Feb 28 2017 %o A282704 (PARI) a(n)=2*prod(i=1,n,prime(i))-1 \\ _Charles R Greathouse IV_, Feb 28 2017 %Y A282704 Cf. A070826, A282705. %K A282704 nonn %O A282704 0,2 %A A282704 _N. J. A. Sloane_, Feb 26 2017