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 A246826 Numbers n such that there is no prime of a prime twin pair between n^2 + n and n^2 + 3*n + 2. 0
 0, 10, 26, 30, 36, 136, 156, 433 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS No more values for n = 434 to 45140. Conjecture: the sequence is finite and given in full. a(9), if it exists, is greater than 10^5. - Derek Orr, Sep 19 2014 LINKS EXAMPLE n = 0 only 1 between 0 and 2 so a(1) = 0. n = 1 between 2 and 6, 3 is the first of twin pair 3, 5. For n = 2 to 9 always at least one prime of a twin pair between n^2 + n and n^2 + 3*n + 2. n = 10 no prime of a twin pair between 110 and 132 so a(2) = 10. PROG (PARI) a(n)=forprime(p=n^2+n, n^2+3*n+2, if(precprime(p-1)==p-2||nextprime(p+1)==p+2, return(0))); return(1) n=0; while(n<10^5, if(a(n), print1(n, ", ")); n++) \\ Derek Orr, Sep 19 2014 CROSSREFS Cf. A091592, A108309. Sequence in context: A059198 A259297 A046961 * A125035 A067264 A043342 Adjacent sequences:  A246823 A246824 A246825 * A246827 A246828 A246829 KEYWORD nonn AUTHOR Pierre CAMI, Sep 04 2014 STATUS approved

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Last modified April 1 01:23 EDT 2020. Contains 333153 sequences. (Running on oeis4.)