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.

A067373 Integers expressible as the sum of (at least two) consecutive primes in at least 3 ways.

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%I A067373 #17 Feb 16 2025 08:32:45
%S A067373 240,287,311,340,371,510,660,803,863,864,931,961,990,1012,1060,1099,
%T A067373 1104,1151,1164,1236,1313,1320,1367,1392,1524,1643,1650,1710,1788,
%U A067373 1793,1854,1951,1956,2040,2303,2304,2387,2393,2436,2507,2556,2586,2647,2670
%N A067373 Integers expressible as the sum of (at least two) consecutive primes in at least 3 ways.
%H A067373 Donovan Johnson, <a href="/A067373/b067373.txt">Table of n, a(n) for n = 1..1000</a>
%H A067373 P. De Geest, <a href="https://www.worldofnumbers.com/em122.htm">WONplate 122</a>
%H A067373 C. Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_046.htm">Puzzle 46</a>
%H A067373 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeSums.html">Prime Sums</a>
%F A067373 A084143(a(n)) > 2. - _Ray Chandler_, Sep 20 2023
%e A067373 240 = (113 + 127) = (53 + 59 + 61 + 67) = (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43) or (#2,113) (#4,53) (#8,17).
%t A067373 m=3*5!; lst={}; Do[p=Prime[a]; Do[p+=Prime[b]; If[p<Prime[m]*3+8,AppendTo[lst,p]],{b,a+1,m,1}],{a,m}]; lst1=Sort[lst]; lst={}; Do[If[lst1[[n]]==lst1[[n+1]]&&lst1[[n]]==lst1[[n+2]],AppendTo[lst,lst1[[n]]]],{n,Length[lst1]-2}]; Union[lst] (* _Vladimir Joseph Stephan Orlovsky_, Aug 15 2009 *)
%Y A067373 Cf. A050936, A067372-A067381, A054998.
%K A067373 nonn
%O A067373 1,1
%A A067373 _Patrick De Geest_, Feb 04 2002
%E A067373 Offset corrected by _Donovan Johnson_, Nov 14 2013