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 A329241 #15 Jun 28 2025 11:16:40
%S A329241 2,3,5,13,29,43,67,163,293,677,883,907,947,1787,1867,2203,2347,2477,
%T A329241 2683,3019,3533,3907,4603,5107,5309,5923,6883,7213,7723,7867,8563,
%U A329241 9283,9413,9643,10627,10853,11213,12107,13003,13037,13187,14683,14851,15413,15643,15667,15797
%N A329241 Primes p such that Sum_{primes r <= q} Kronecker(r,p) <= 0 for all primes q <= p.
%C A329241 Primes p such that A329224(primepi(p)) > p (or equal to 0).
%C A329241 So, in terms of the above comparison, this sequence gives the primes p such that the smallest prime q to violate the inequality Sum_{primes r <= q} Kronecker(r,p) <= 0 is relatively large.
%C A329241 See also the comments and references in A329224, which is the main entry for this set of sequences.
%C A329241 There are 141 primes in this sequence below 10^5 and 548 primes below 10^6.
%H A329241 Jianing Song, <a href="/A329241/b329241.txt">Table of n, a(n) for n = 1..548</a> (all terms below 10^6)
%e A329241 The smallest prime q such that Sum_{primes r <= q} Kronecker(r,2) = 1 > 0 is q = 11100143, so 2 is a term.
%e A329241 The smallest prime q such that Sum_{primes r <= q} Kronecker(r,3) = 1 > 0 is q = 608981813029, so 3 is a term.
%e A329241 The smallest prime q such that Sum_{primes r <= q} Kronecker(r,5) = 1 > 0 is q = 2082927221, so 5 is a term.
%e A329241 The smallest prime q such that Sum_{primes r <= q} Kronecker(r,13) = 1 > 0 is q = 2083, so 13 is a term.
%e A329241 The smallest prime q such that Sum_{primes r <= q} Kronecker(r,29) = 1 > 0 is q = 719, so 29 is a term.
%e A329241 The smallest prime q such that Sum_{primes r <= q} Kronecker(r,43) = 1 > 0 is q = 53, so 43 is a term.
%e A329241 The smallest prime q such that Sum_{primes r <= q} Kronecker(r,67) = 1 > 0 is q = 163, so 67 is a term.
%e A329241 The smallest prime q such that Sum_{primes r <= q} Kronecker(r,163) = 1 > 0 is q = 15073, so 163 is a term.
%e A329241 The smallest prime q such that Sum_{primes r <= q} Kronecker(r,293) = 1 > 0 is q = 349, so 293 is a term.
%o A329241 (PARI) isA329241(p) = if(isprime(p), my(i=0); forprime(q=2, p, i+=kronecker(q, p); if(i>0, return(0))); return(1), 0)
%Y A329241 Cf. A329224.
%K A329241 nonn
%O A329241 1,1
%A A329241 _Jianing Song_, Nov 08 2019
%E A329241 Edited by _Peter Munn_, Jun 27 2025