Search: id:A128292
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%I A128292
%S A128292 2,3,5,7,11,13,37,47,61,67,97,107,127,137,157,167,197,227,233,317,331,
%T A128292 373,449,457,487,541,601,617,677,971,977,1153,1381,1447,1549,1637,1777,
%U A128292 1871,1931,1997,2287,2399,2417,2437,2647,2767,2777,2963,3089,3169,3187
%N A128292 Primes not in A126769.
%C A128292 Primes p that are not of the form k^4+s where k > 1 and s >= 1, such 
               that k^2+s is prime and smaller than p.
%e A128292 37 is prime, 2^4+21 is the only way to write 37 as k^4+s, but neither 
               2^2+21 = 25 nor 3^2+21 = 30 is prime, hence 37 is a term.
%o A128292 (PARI) {m=8; v=[]; for(n=2, m, for(k=1, (m+1)^4, if(isprime(p=n^4+k)&&p<m^4&&(q=n^2+k)<p&&isprime(q), 
               v=concat(v,p)))); v=listsort(List(v), 1); p=2; j=1; while(j<=#v&&p<=v[ 
               #v]&&v[j]<=m^4, if(p<v[j], print1(p, ","), j++); p=nextprime(p+1))} 
               /* Klaus Brockhaus, Feb 24 2007 */
%Y A128292 Cf. A126769.
%Y A128292 Sequence in context: A162567 A092728 A067908 this_sequence A140464 A037174 
               A037949
%Y A128292 Adjacent sequences: A128289 A128290 A128291 this_sequence A128293 A128294 
               A128295
%K A128292 nonn
%O A128292 1,1
%A A128292 Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Feb 24 2007

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