A066386 Numbers k such that k^6 + 1091 is prime.

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

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