%I #13 May 03 2014 12:12:55
%S 1,169,1681,6889,8281,11881,24649,27889,41209,57121,58081,67081,80089,
%T 101761,124609,175561,185761,201601,212521,332929,380689,413449,
%U 461041,508369,534361,609961,625681,654481,683929,693889,822649,829921,833569,1014049,1018081
%N Squares s such that s + 1234567890 is prime.
%C 1234567890 is the first pandigital number with digits in order.
%H K. D. Bajpai, <a href="/A241538/b241538.txt">Table of n, a(n) for n = 1..10000</a>
%e 169 = 13^2 and appears in the sequence because 169 + 1234567890 = 1234568059, which is prime.
%e 1681 = 41^2 and appears in the sequence because 1681 + 1234567890 = 1234569571, which is prime.
%e 625 = 25^2 but is not included in the sequence since 625 + 1234567890 = 1234568515 = (5)*(246913703), which is not prime.
%p KD := proc() local a,s; s:=n^2;a:=s+1234567890; if isprime(a) then RETURN (s); fi; end: seq(KD(), n=1..2000);
%t A241538 = {}; Do[s = n^2; If[PrimeQ[s + 1234567890], AppendTo[A241538, s]], {n, 2000}]; A241538
%t (* For the b-file *) c = 0; s = n^2; a = s + 1234567890; Do[If[PrimeQ[a], c++; Print[c, " ", s]], {n, 4*10^5}] (* Bajpai *)
%t Select[Range[1000]^2, PrimeQ[# + 1234567890] &] (* _Alonso del Arte_, Apr 25 2014 *)
%Y Cf. A000040, A002496, A028871, A050289, A056899, A234812, A235640, A240587.
%K nonn,less
%O 1,2
%A _K. D. Bajpai_, Apr 25 2014