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 A145701 #13 Jun 02 2025 00:40:40 %S A145701 3,11,17,59,71,179,311,419,881,1151,2111,2591,3119,3527,4049,5099, %T A145701 15137,20807,21011,21839,24419,30011,34847,37811,41759,44699,46817, %U A145701 60899,68819,69191,83231,83639,86111,100799,103967,112337,135719,143111 %N A145701 Lesser p of twin primes (p,q) such that there exists an integer between sqrt(2p) and sqrt(2q). %C A145701 The n-th prime p_n is in the sequence iff A145236(n) = A145236(n+1). %H A145701 Harvey P. Dale, <a href="/A145701/b145701.txt">Table of n, a(n) for n = 1..500</a> %t A145701 okQ[n_]:=Last[n]-First[n]==2&&Floor[Sqrt[2Last[n]]]>Sqrt[2First[n]]; Transpose[Select[Partition[Prime[Range[13300]],2,1],okQ]][[1]] (* _Harvey P. Dale_, Oct 26 2011 *) %Y A145701 Cf. A001359, A006512, A145236. %K A145701 nonn %O A145701 1,1 %A A145701 _Vladimir Shevelev_, Oct 16 2008 %E A145701 Extended by _R. J. Mathar_, Aug 02 2010