A161689 Intersection of A151740 and A151741.

49, 99, 153, 161, 171, 175, 185, 189, 221, 231, 235, 243, 247, 265, 285, 289, 319, 329, 341, 351, 369, 375, 391, 405, 429, 435, 441, 469, 473, 495, 507, 517, 531, 535, 545, 549, 581, 589, 603, 609, 639, 645, 651, 657, 667, 671, 679, 689, 711, 715, 725, 729

Offset: 1

Author

Zak Seidov, Jun 17 2009

Keywords

• nonn

Comments

Composite numbers that are sum of two and three consecutive composite numbers. Provably only odd integers.

Examples

			49=24+25=15+16+18
99=49+50=32+33+34
153=76+77=50+51+52.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

A151740, A151741, A151745.

Programs

Mathematica

Module[{c=Select[Range[800],CompositeQ],s2,s3},s2=Total/@Partition[c,2,1];s3=Total/@Partition[c,3,1];Intersection[c,s2,s3]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Nov 27 2019 *)