A067375 Integers expressible as the sum of (at least two) consecutive primes in at least 5 ways.

16277, 20272, 25416, 28500, 34421, 41074, 45101, 46660, 50560, 53424, 59068, 68787, 70104, 70692, 71548, 78756, 85433, 85481, 88453, 94350, 98881, 105827, 117907, 120151, 121847, 125952, 130638, 130789, 131420, 132539, 133367, 134376, 135918, 139853, 158810

Offset: 1

Author

Patrick De Geest, Feb 04 2002

Keywords

• nonn

Examples

			E.g. 16277 = (#7,2297) (#11,1451) (#13,1213) (#35,359) (#37,331).
		

Links

• Donovan Johnson, Table of n, a(n) for n = 1..1000
• P. De Geest, WONplate 122
• C. Rivera, Puzzle 46

Crossrefs

Cf. A050936, A067372-A067381, A055000.

Programs

Mathematica

t={};Do[p=Prime[m];Do[p=p+Prime[n];If[p<200000,AppendTo[t,p]],{n,m+1,7001}],{m,1,7000}];t=Sort@t;f5[l_]:=Module[{t={}},Do[If[l[[n]]==l[[n+4]],AppendTo[t,l[[n]]]],{n,Length[l]-4}];t];Union@f5[t] (* Vladimir Joseph Stephan Orlovsky, Jan 30 2012 *)

Formula

A084143(a(n)) > 4. - Ray Chandler, Sep 20 2023

Extensions

Offset and a(35) corrected by Donovan Johnson, Nov 14 2013