This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A065683 #17 Dec 15 2024 11:01:26 %S A065683 0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, %T A065683 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3, %U A065683 3,3,3,3,3,3,3,3,3,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,20,20,20 %N A065683 Number of primes <= prime(n) which begin with a 4. %H A065683 Harry J. Smith, <a href="/A065683/b065683.txt">Table of n, a(n) for n = 1..1000</a> %e A065683 41 = A000040(13) is the first prime beginning with 4, so a(13) = 1. a(664579) = 74114 (A000040(664579) = 9999991 is the largest prime < 10^7). %t A065683 Table[Count[Take[Prime[Range[100]],n],_?(First[IntegerDigits[#]] == 4&)],{n,100}] (* _Harvey P. Dale_, Apr 18 2011 *) %o A065683 (PARI) lista(n) = { my(a=[p\10^logint(p,10)==4 | p<-primes(n)]); for(i=2, #a, a[i]+=a[i-1]); a} \\ _Harry J. Smith_, Oct 26 2009 %Y A065683 Cf. A000040, A045710, A065680. %K A065683 base,nonn %O A065683 1,14 %A A065683 _Reinhard Zumkeller_, Nov 13 2001