A109207 Palindromic primes with digit sum = 50.

3998993, 7696967, 7778777, 7794977, 7868687, 7884887, 7958597, 9586859, 9758579, 9782879, 9938399, 138989831, 139969931, 148888841, 148969841, 157888751, 159929951, 166888661, 167787761, 168929861, 169666961, 174989471

Offset: 1

Author

Zak Seidov, Jun 22 2005

Keywords

• base
• nonn

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..13935

Crossrefs

Cf. A070250, A109184, A109185 (resp.) Palindromic primes with digit sum = 10, 20, 40 (resp.); A107579, A106760 (resp.) Primes with digit sum = 10, 20 (resp.).

Programs

Mathematica

Do[p=Join[IntegerDigits[n], Reverse[Drop[IntegerDigits[n], -1]]]; q=Plus@@p; If[PrimeQ[FromDigits[p]]&&q==50, Print[FromDigits[p]]], {n, 1, 10^7}] (* Vincenzo Librandi, Dec 18 2015 *)
Select[Prime@ Range[10^7], And[# == Reverse@ #, Total@ # == 50] &@ IntegerDigits@ # &] (* Michael De Vlieger, Dec 18 2015 *)

PARI

isok(n) = isprime(n) && (d=digits(n)) && (Vecrev(d)==d) && (sumdigits(n)==50); \\ Michel Marcus, Dec 18 2015