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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
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
Sequence in context: A204147 A252138 A115468 * A326385 A068240 A022212
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.)