login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Numbers n such that the leading n digits of n^n in decimal form a prime or a probable prime.
0

%I #11 Feb 11 2013 15:45:27

%S 65,603,12208,18803,18841,25207

%N Numbers n such that the leading n digits of n^n in decimal form a prime or a probable prime.

%C Search completed through n=28900. a(1)=65 occurs in A220454, the 65-digit right truncation of 65^65 being the only prime right truncation for 65 and no first right truncation for a smaller number than 65 being 65 or more digits.

%t Select[Range[8, 1000], PrimeQ[FromDigits[Take[IntegerDigits[#^#], #]]] &] (* _T. D. Noe_, Feb 11 2013 *)

%Y Cf. A220453, A220454.

%K nonn,base

%O 1,1

%A _James G. Merickel_, Feb 09 2013