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