A181100 - OEIS

<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 3.2 Final//EN"> <html> <head> <link rel="stylesheet" href="/styles.css"> <meta name="format-detection" content="telephone=no"> <meta http-equiv="content-type" content="text/html; charset=utf-8"> <meta name=viewport content="width=device-width, initial-scale=1"> <meta name="keywords" content="OEIS,integer sequences,Sloane" /> <title>A181100 - OEIS</title> <link rel="search" type="application/opensearchdescription+xml" title="OEIS" href="/oeis.xml"> <script> var myURL = "\/A181100" function redir() { var host = document.location.hostname; if(host != "oeis.org" && host != "127.0.0.1" && !/^([0-9.]+)$/.test(host) && host != "localhost" && host != "localhost.localdomain") { document.location = "https"+":"+"//"+"oeis"+".org/" + myURL; } } function sf() { if(document.location.pathname == "/" && document.f) document.f.q.focus(); } </script> </head> <body bgcolor=#ffffff onload="redir();sf()"> <div class=loginbar> <div class=login> <a href="/login?redirect=%2fA181100">login</a> </div> </div> <div class=center><div class=top> <center> <div class=donors> The OEIS is supported by <a href="http://oeisf.org/#DONATE">the many generous donors to the OEIS Foundation</a>. </div> <div class=banner> <a href="/"><img class=banner border="0" width="600" src="/banner2021.jpg" alt="A181100 - OEIS"></a> </div> </center> </div></div> <div class=center><div class=pagebody> <div class=searchbarcenter> <form name=f action="/search" method="GET"> <div class=searchbargreet> <div class=searchbar> <div class=searchq> <input class=searchbox maxLength=1024 name=q value="" title="Search Query"> </div> <div class=searchsubmit> <input type=submit value="Search" name=go> </div> <div class=hints> <span class=hints><a href="/hints.html">Hints</a></span> </div> </div> <div class=searchgreet> (Greetings from <a href="/welcome">The On-Line Encyclopedia of Integer Sequences</a>!) </div> </div> </form> </div> <div class=sequence> <div class=space1></div> <div class=line></div> <div class=seqhead> <div class=seqnumname> <div class=seqnum> A181100 </div> <div class=seqname> Numbers k such that <a href="/A028260" title="Numbers with an even number of prime divisors (counted with multiplicity); numbers k such that the Liouville function lambda...">A028260</a>(k) + 1 is prime. </div> </div> <div class=scorerefs> 1 </div> </div> <div> <div class=seqdatabox> <div class=seqdata>1, 2, 3, 5, 8, 10, 17, 20, 21, 28, 29, 37, 42, 48, 49, 51, 59, 65, 73, 76, 81, 84, 91, 92, 100, 112, 113, 114, 118, 122, 125, 128, 132, 147, 160, 163, 169, 170, 173, 175, 182, 188, 197, 220, 221, 222, 228, 233, 236, 242, 253, 265, 270, 278, 282, 283, 286, 293, 297</div> <div class=seqdatalinks> (<a href="/A181100/list">list</a>; <a href="/A181100/graph">graph</a>; <a href="/search?q=A181100+-id:A181100">refs</a>; <a href="/A181100/listen">listen</a>; <a href="/history?seq=A181100">history</a>; <a href="/search?q=id:A181100&fmt=text">text</a>; <a href="/A181100/internal">internal format</a>) </div> </div> </div> <div class=entry> <div class=section> <div class=sectname>OFFSET</div> <div class=sectbody> <div class=sectline>1,2</div> </div> </div> <div class=section> <div class=sectname>LINKS</div> <div class=sectbody> <div class=sectline>Nathaniel Johnston, <a href="/A181100/b181100.txt">Table of n, a(n) for n = 1..10000</a></div> </div> </div> <div class=section> <div class=sectname>MAPLE</div> <div class=sectbody> <div class=sectline><a href="/A181100" title="Numbers k such that A028260(k) + 1 is prime.">A181100</a> := proc(n) option remember: local k: if(n=1)then return 1: fi: for k from procname(n-1)+1 do if(isprime(<a href="/A028260" title="Numbers with an even number of prime divisors (counted with multiplicity); numbers k such that the Liouville function lambda...">A028260</a>(k)+1))then return k: fi: od: end: seq(<a href="/A181100" title="Numbers k such that A028260(k) + 1 is prime.">A181100</a>(n), n=1..59); # <a href="/wiki/User:Nathaniel_Johnston">Nathaniel Johnston</a>, May 27 2011</div> </div> </div> <div class=section> <div class=sectname>CROSSREFS</div> <div class=sectbody> <div class=sectline>Sequence in context: <a href="/A084907" title="Indices of Fibonacci numbers that satisfy: Sum_{k>=1} 1/F(a(k)) = 1, where F(k) gives the k-th Fibonacci number with F(0)=1,...">A084907</a> <a href="/A158724" title="Numbers n such that prime(n)^2 + 1 is a semiprime.">A158724</a> <a href="/A289276" title="Numbers k such that phi(k) (the totient function A000010) is a power of the number of divisors of k (A000005).">A289276</a> * <a href="/A036961" title="Primes with digits (0,...,6) taken as base 7 and converted to base 10.">A036961</a> <a href="/A122633" title="F(n)_n where F() = Fibonacci numbers A000045.">A122633</a> <a href="/A004694" title="Fibonacci numbers written in base 13. (Next term contains a non-decimal character.)">A004694</a></div> <div class=sectline>Adjacent sequences: <a href="/A181097" title="Permutation of positive integers created from sequence A002808(n) = composites.">A181097</a> <a href="/A181098" title="Primefree centuries (i.e., numbers k such that no prime exists between 100*k and 100*k+99).">A181098</a> <a href="/A181099" title="Exchange rightmost two ternary digits of n > 1; a(0)=0, a(1)=3.">A181099</a> * <a href="/A181101" title="Triangle T(n,k) read by rows. T(1,1)=-1, n>1: If n/k=A020639(n) then 1 else 0.">A181101</a> <a href="/A181102" title="Coefficients in the q-expansion of the Gamma_0(6) weight -2 meromorphic modular form F(z) (see Formula section for definition).">A181102</a> <a href="/A181103" title="a(n) is the least prime greater than a(n-1) such that abs(a(n-2) + a(n-1) - a(n)) is prime; a(1)=2, a(2)=3.">A181103</a></div> </div> </div> <div class=section> <div class=sectname>KEYWORD</div> <div class=sectbody> <div class=sectline><span title="it is very easy to produce terms of sequence">easy</span>,<span title="a sequence of nonnegative numbers">nonn</span></div> </div> </div> <div class=section> <div class=sectname>AUTHOR</div> <div class=sectbody> <div class=sectline><a href="/wiki/User:Giovanni_Teofilatto">Giovanni Teofilatto</a>, Oct 03 2010</div> </div> </div> <div class=section> <div class=sectname>EXTENSIONS</div> <div class=sectbody> <div class=sectline>Essentially all entries corrected by <a href="/wiki/User:R._J._Mathar">R. J. Mathar</a>, Oct 12 2010</div> </div> </div> <div class=section> <div class=sectname>STATUS</div> <div class=sectbody> <div class=sectline>approved</div> </div> </div> </div> <div class=space10></div> </div> </div></div> <p> <div class=footerpad></div> <div class=footer> <center> <div class=bottom> <div class=linksbar> <a href="/">Lookup</a> <a href="/wiki/Welcome"><font color="red">Welcome</font></a> <a href="/wiki/Main_Page"><font color="red">Wiki</font></a> <a href="/wiki/Special:RequestAccount">Register</a> <a href="/play.html">Music</a> <a href="/plot2.html">Plot 2</a> <a href="/demo1.html">Demos</a> <a href="/wiki/Index_to_OEIS">Index</a> <a href="/webcam">WebCam</a> <a href="/Submit.html">Contribute</a> <a href="/eishelp2.html">Format</a> <a href="/wiki/Style_Sheet">Style Sheet</a> <a href="/transforms.html">Transforms</a> <a href="/ol.html">Superseeker</a> <a href="/recent">Recents</a> </div> <div class=linksbar> <a href="/community.html">The OEIS Community</a> </div> <div class=linksbar> Maintained by <a href="http://oeisf.org">The OEIS Foundation Inc.</a> </div> <div class=dbinfo>Last modified February 17 21:56 EST 2025. Contains 380976 sequences.</div> <div class=legal> <a href="/wiki/Legal_Documents">License Agreements, Terms of Use, Privacy Policy</a> </div> </div> </center> </div> </body> </html>

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A181100 - OEIS