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 A066386 Numbers k such that k^6 + 1091 is prime. 13
 0, 3906, 4620, 5166, 5376, 5460, 8190, 13020, 13986, 14490, 17934, 19740, 19950, 20664, 23226, 24654, 29736, 30114, 31206, 33516, 33600, 34104, 34314, 40320, 41286, 44016, 45066, 46116, 47754, 48300, 59850, 62244, 63420, 65310, 66864 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES D. Shanks, Solved and unsolved problems in number theory, Chelsea NY, 1985, p. 222, ex. 162. D. Shanks, A low density of primes, Jour. Recreational Math. 5 (1971) 272-5. David Wells, The Penguin Dictionary of Curious and Interesting Numbers, p. 151 (Rev. ed. 1997) Roozbeh Hazrat, Mathematica: A Problem-Centered Approach, Springer 2010, pp. 42, 172 LINKS Harry J. Smith, Table of n, a(n) for n = 1..1000 G. L. Honaker, Jr. and Chris Caldwell, Prime Curios! 1091 Eric Weisstein's World of Mathematics, Prime-Generating Polynomial MATHEMATICA Select[Range[100000], PrimeQ[ #^6 + 1091] &] PROG (PARI) { n=0; for (m=0, 10^9, if (isprime(m^6 + 1091), write("b066386.txt", n++, " ", m); if (n==1000, return)) ) } \\ Harry J. Smith, Feb 13 2010 CROSSREFS Cf. A161998, A126893, A119276. Sequence in context: A204147 A252138 A115468 * A326385 A068240 A022212 Adjacent sequences: A066383 A066384 A066385 * A066387 A066388 A066389 KEYWORD easy,nonn AUTHOR Harvey P. Dale, Dec 23 2001 EXTENSIONS 0 added by Zak Seidov, Jan 26 2009 STATUS approved

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Last modified July 23 14:49 EDT 2024. Contains 374549 sequences. (Running on oeis4.)