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 A128292 Primes not in A126769. 4
 2, 3, 5, 7, 11, 13, 37, 47, 61, 67, 97, 107, 127, 137, 157, 167, 197, 227, 233, 317, 331, 373, 449, 457, 487, 541, 601, 617, 677, 971, 977, 1153, 1381, 1447, 1549, 1637, 1777, 1871, 1931, 1997, 2287, 2399, 2417, 2437, 2647, 2767, 2777, 2963, 3089, 3169, 3187 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS EXAMPLE 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. PROG (PARI) {m=8; v=[]; for(n=2, m, for(k=1, (m+1)^4, if(isprime(p=n^4+k)&&p1, if(ispseudoprime(q=k^2+s), belongs=1; break)))); if(!belongs, listput(L, p))); return(Vec(L))} \\ R. J. Cano, Apr 04 2018 CROSSREFS Cf. A126769. Sequence in context: A262377 A237600 A228199 * A140464 A037174 A238851 Adjacent sequences:  A128289 A128290 A128291 * A128293 A128294 A128295 KEYWORD nonn AUTHOR Klaus Brockhaus, Feb 24 2007 STATUS approved

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Last modified January 17 09:54 EST 2020. Contains 330949 sequences. (Running on oeis4.)