A167473 Primes p such that (p reversed)+10 is also a prime.
3, 7, 13, 19, 31, 37, 73, 79, 97, 103, 109, 139, 157, 181, 193, 337, 349, 367, 373, 379, 733, 739, 751, 769, 787, 907, 919, 997, 1009, 1039, 1051, 1093, 1117, 1123, 1129, 1171, 1201, 1237, 1249, 1291, 1303, 1399, 1423, 1447, 1459, 1483, 1489, 1531, 1543, 1549, 1663, 1741, 1747, 1753, 1783
Offset: 1
Examples
13 is in the sequence because 31+10 = 41, which is prime. 37 is in the sequence because 73+10 = 83, which is prime.
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Programs
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Magma
[p: p in PrimesUpTo(1783) | IsPrime(q+10) where q is Seqint(Reverse(Intseq(p)))]; // Vincenzo Librandi, Sep 15 2013
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Mathematica
Select[Prime[Range[2, 3000]], PrimeQ[FromDigits[Reverse[IntegerDigits[#]]] + 10]&] (* Vincenzo Librandi, Sep 15 2013 *) Select[Prime[Range[300]],PrimeQ[IntegerReverse[#]+10]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, May 26 2020 *)
Extensions
Inserted 193, 367 etc. - R. J. Mathar, Nov 08 2009
Inserted 3 and 7 - R. J. Mathar, Jan 05 2011