A246944 Prime numbers p with property that when the first digit is shifted to the last digit, we obtain a prime greater than p.

13, 17, 37, 79, 113, 127, 131, 149, 157, 163, 181, 191, 197, 199, 337, 359, 367, 373, 787, 797, 1117, 1123, 1129, 1151, 1153, 1181, 1187, 1193, 1201, 1213, 1231, 1237, 1259, 1279, 1297, 1301, 1319, 1327, 1367, 1409, 1423, 1427, 1439, 1459, 1483, 1487, 1493

Offset

1,1

Links

Jens Kruse Andersen, Table of n, a(n) for n = 1..10000

Example

13: when 1 is shifted to last it becomes 31.

Mathematica

fdlQ[n_]:=Module[{c=FromDigits[RotateLeft[IntegerDigits[n]]]}, PrimeQ[c] && c>n]; Select[Prime[Range[300]], fdlQ] (* Harvey P. Dale, Jun 06 2018 *)

Prog

(PHP)
function number_firsttolast($a)
{
$b=str_split($a);
$c=count($b);
for($i=1; $i<$c; $i++)
{
  $d=$d.$b[$i];
}
$e=$d.$b[0];
return ($e);
}
(PARI)
move(n)=n=Vec(Str(n)); N=List(); for(i=2, #n, listput(N, n[i])); listput(N, n[1]); return(eval(concat(N)));
forprime(p=2, 1000, if(isprime(move(p))&&move(p)>p, print1(p, ", "))) \\ Edward Jiang, Sep 08 2014

Crossrefs

Cf. A109308.

Sequence in context: A166681 A109308 A263241 * A086402 A358571 A271050

Adjacent sequences: A246941 A246942 A246943 * A246945 A246946 A246947

Keyword

nonn,base

Author

Shanmuga Subramanian, Sep 08 2014

Status

approved