cp's OEIS Frontend

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.

A083848 a(n)^2 + 1 is largest prime of the form x^2 + 1 <= 2^n.

This page as a plain text file.
%I A083848 #14 Feb 16 2025 08:32:49
%S A083848 1,1,2,2,4,6,10,14,20,26,40,56,90,126,180,250,350,496,716,1010,1440,
%T A083848 2034,2896,4086,5774,8184,11566,16380,23166,32766,46326,65534,92666,
%U A083848 131070,185354,262130,370714,524260,741454,1048554,1482904,2097146
%N A083848 a(n)^2 + 1 is largest prime of the form x^2 + 1 <= 2^n.
%C A083848 It is conjectured that this sequence is infinite, but this has never been proved.
%C A083848 Ratio of successive terms appears to approach sqrt(2). - _Bill McEachen_, Nov 03 2013
%D A083848 G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, th. 17.
%D A083848 P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, 1991, p. 190.
%H A083848 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LandausProblems.html">Landau's Problems.</a>
%Y A083848 Cf. A005574, A002496, A083844, A083845, A083846, A083847, A083849.
%K A083848 nonn
%O A083848 1,3
%A A083848 _Harry J. Smith_, May 05 2003