A232189 Numbers k with same last four digits as p, prime(k)=p.

9551, 15103, 18697, 23071, 24833, 48229, 53853, 58681, 83819, 91617, 93909, 107647, 115259, 120487, 126497, 156991, 160681, 162857, 177477, 181833, 189143, 194229, 208679, 213703, 221569, 223047, 225191, 229499, 252247, 259379, 270701, 274247, 276381, 279919, 280599

Offset

1,1

Comments

k such that prime(k)-k == 0 (mod 10000). - Robert Israel, Jul 02 2015

Links

Robert Israel, Table of n, a(n) for n = 1..607 (all entries with prime < 10^8)

Example

18697 and prime(18697)= 208697, both end with 8697.

Maple

Primes:= select(isprime, [2, seq(2*i+1, i=1..10^6)]):
select(t -> Primes[t]-t mod 10^4=0, [$1..nops(Primes)]); # Robert Israel, Jul 02 2015

Mathematica

Select[Range[1230, 300000], Mod[#, 10^4] == Mod[Prime@ #, 10^4] &]
(* or *)
Select[Range[1230, 300000], Take[IntegerDigits@ #, -4] == Take[IntegerDigits@ Prime@ #, -4] &] (* Michael De Vlieger, Jul 02 2015 *)

Prog

(PARI) {p=10007; n=1230; while(n<10^6, p=nextprime(p+1); n=n+1; if(p%10^4==n%10^4, print1(n, ", ")))}
(MATLAB)
P = primes(10^7);
R = mod(P - [1:size(P, 2)], 10000);
find(R==0)  % Robert Israel, Jul 02 2015

Crossrefs

Cf. A067838, A067841, A232188.

Sequence in context: A161002 A134117 A353088 * A271046 A162029 A251909

Adjacent sequences: A232186 A232187 A232188 * A232190 A232191 A232192

Keyword

nonn,base,less

Author

Antonio Roldán, Nov 20 2013

Status

approved