%I #8 Nov 27 2013 05:06:39
%S 1,3,4,6,10,19,28,30,31,40,60,63,64,66,87,88,93,96,100,129,132,135,
%T 138,141,144,184,190,274,279,280,283,285,292,294,297,300,303,310,393,
%U 399,400,402,433,436,439,589,597,598,600,612,616,621,628,630,639,640,642
%N Numbers n such that reversal (n^3) plus 1 is prime.
%C If n is a multiple of 10, after reversal leading zeros are discarded before adding 1.
%H K. D. Bajpai, <a href="/A232268/b232268.txt">Table of n, a(n) for n = 1..10000</a>
%e a(3)= 4: 4^3= 64: reversing the digits gives 46: 46+1= 47 which is prime.
%e a(4)= 6: 6^3= 216: reversing the digits gives 612: 612+1= 613 which is prime.
%e a(12)= 63: 63^3= 250047: reversing the digits gives 740052: 740052+1= 740053 which is prime.
%p with(StringTools): KD:= proc() local a; a:= parse(Reverse(convert((n^3), string)))+1; if isprime(a) then RETURN (n): fi;end: seq(KD(), n=1..5000);
%t Select[Range[500],PrimeQ[ToExpression[StringReverse[ToString[#^3]]] + 1] &]
%Y Cf. A059008 (numbers n: n^3 reversed is prime).
%Y Cf. A231756 (numbers n: reversal (n^2) plus 1 is prime).
%K nonn,base,less
%O 1,2
%A _K. D. Bajpai_, Nov 22 2013
|