# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/

Search: id:a373610
Showing 1-1 of 1

%I A373610 #9 Jun 11 2024 01:44:38
%S A373610 11,15,34,35,47,59,103,110,115,122,123,142,146,154,159,167,179,195,
%T A373610 203,207,214,239,247,251,262,287,290,311,318,319,323,339,354,355,362,
%U A373610 394,434,447,466,538,542,563,599,627,682,707,718,739,743,759,774,782,867
%N A373610 Positive integers that cannot be written as a sum of a practical number and an octagonal number.
%C A373610 Somu and Tran (2024) conjectured that there are finitely many such integers. It was also conjectured that 4005819 is the largest such integer. This conjecture was checked up to 10^8.
%H A373610 Duc Van Khanh Tran, <a href="/A373610/b373610.txt">Table of n, a(n) for n = 1..414</a>
%H A373610 Sai Teja Somu and Duc Van Khanh Tran, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL27/Somu/somu5.html">On sums of practical numbers and polygonal numbers</a>, Journal of Integer Sequences, 27(5), 2024.
%Y A373610 Cf. A000567, A005153.
%K A373610 nonn,hard
%O A373610 1,1
%A A373610 _Duc Van Khanh Tran_, Jun 10 2024

# Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE