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A134020 Numbers that are one less than a square and have exactly 4 divisors. 1

%I #24 Jul 28 2023 18:58:57

%S 8,15,35,143,323,899,1763,3599,5183,10403,11663,19043,22499,32399,

%T 36863,39203,51983,57599,72899,79523,97343,121103,176399,186623,

%U 213443,272483,324899,359999,381923,412163,435599,656099,675683,685583,736163

%N Numbers that are one less than a square and have exactly 4 divisors.

%C A037074 is a subsequence. - _R. J. Mathar_, Jun 08 2008

%H Vincenzo Librandi, <a href="/A134020/b134020.txt">Table of n, a(n) for n = 1..5400</a>

%p with(numtheory): a:=proc(n) if type(sqrt(n+1),integer)=true and tau(n)=4 then n else end if end proc: seq(a(n),n=1..800000); # _Emeric Deutsch_, Jan 27 2008

%t t={}; Do[If[DivisorSigma[0,n]==4&&IntegerQ[Sqrt[n+1]],AppendTo[t,n]],{n,10^6}]; t (* _Jayanta Basu_, Jun 03 2013 *)

%t Select[Range[1000]^2-1,DivisorSigma[0,#]==4&] (* _Harvey P. Dale_, Jul 28 2023 *)

%K nonn

%O 1,1

%A _Giovanni Teofilatto_, Jan 11 2008

%E Edited and extended by _Emeric Deutsch_, Jan 27 2008

%E Name reworded by _Jon E. Schoenfield_, Jan 15 2019

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)