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

1,1

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

Example

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

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 *)

Crossrefs

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

Sequence in context: A289488 A361092 A376221 * A054268 A153137 A105526

Adjacent sequences: A054263 A054264 A054265 * A054267 A054268 A054269

Keyword

nonn,base

Author

Patrick De Geest, Apr 15 2000

Extensions

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

Status

approved