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 A116214 Numbers n such that both n*(n+2)-(n+1) and n*(n+2)+(n+1) are primes. 1
 2, 3, 4, 5, 8, 9, 10, 15, 19, 20, 30, 38, 44, 45, 53, 54, 55, 59, 64, 65, 85, 93, 100, 114, 125, 130, 140, 144, 148, 153, 154, 158, 159, 163, 180, 195, 218, 219, 230, 240, 258, 263, 264, 305, 330, 349, 350, 360, 373, 385, 395, 418, 419, 448, 449, 455, 473, 474 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Sequence a(k)*(a(k)+2) = 8, 15, 24, 35, 80, 99, ... equals A069826. LINKS EXAMPLE 20*22 = 440; both 440-21 = 419 and 440+21 = 461 are prime, hence 20 is a term. PROG (MAGMA) [ n: n in [1..500] | IsPrime(n*(n+2)+(n+1)) and IsPrime(n*(n+2)-(n+1)) ]; /* Klaus Brockhaus, Apr 17 2007 */ CROSSREFS Cf. A005563 (n(n+2)), A069826 (numbers n such that sigma(n^2-n-1) = n*(n+1)). Sequence in context: A217349 A087278 A054219 * A161389 A214207 A044051 Adjacent sequences:  A116211 A116212 A116213 * A116215 A116216 A116217 KEYWORD nonn AUTHOR J. M. Bergot, Apr 16 2007 EXTENSIONS Edited and extended by Klaus Brockhaus, Apr 17 2007 STATUS approved

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Last modified June 19 09:12 EDT 2013. Contains 226401 sequences.