A054266 Sum of composite numbers between prime p and nextprime(p) is palindromic.

3, 5, 109, 193, 281, 509, 661, 827, 857, 1439, 2111, 3433, 3889, 3967, 4549, 6661, 7001, 8467, 10099, 17203, 18583, 21011, 21611, 23831, 24847, 25117, 26261, 26497, 26861, 28181, 29587, 30497, 31307, 47569, 47869, 49789, 53939, 54139, 66361

Offset: 1

Author

Patrick De Geest, Apr 15 2000

Keywords

• nonn
• base

Examples

			a(4)=193 since between 193 and next prime 197 we get the palindromic sum 194 + 195 + 196 = 585.
		

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000 (n = 1..500 from Zak Seidov)
• P. De Geest, World!Of Numbers

Crossrefs

Cf. A046933, A054264, A054265, A054267, A054268.

Programs

Mathematica

okQ[l_]:=Module[{x=IntegerDigits[Total[Range[First[l]+1, Last[l]-1]]]},x==Reverse[x]];Transpose[Select[Partition[ Prime[Range[2,6700]],2,1],okQ]][[1]] (* Harvey P. Dale, Mar 18 2011 *)

Extensions

Corrected and extended b-file by Chai Wah Wu, Feb 25 2018