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

Author

Harvey P. Dale, Dec 23 2001

Keywords

• easy
• nonn

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

Crossrefs

Cf. A161998, A126893, A119276.

Programs

Mathematica

Select[Range[100000], PrimeQ[ #^6 + 1091] &]

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

Extensions

0 added by Zak Seidov, Jan 26 2009