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Search: id:A128292
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| 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; listen)
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OFFSET
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1,1
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COMMENT
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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.
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EXAMPLE
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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.
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PROGRAM
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(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 */
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CROSSREFS
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Cf. A126769.
Sequence in context: A162567 A092728 A067908 this_sequence A140464 A037174 A037949
Adjacent sequences: A128289 A128290 A128291 this_sequence A128293 A128294 A128295
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KEYWORD
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nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Feb 24 2007
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