OFFSET
1,1
COMMENTS
A variation on Euler's prime generating polynomial found in a novel by Arthur C. Clarke and Gentry Lee. Gives 96 primes in first 100 terms.
Note that in n^2-81*n+1681, substitution of n= m+41 gives m^2+m+41, Euler's polynomial. So we get the same set of 40 primes twice.
REFERENCES
Arthur C. Clarke and Gentry Lee, The Garden of Rama, Dell Publishing, 1991, ISBN 0-533-29817-8, page 59.
LINKS
James Clewett and Brady Haran, 41 and more Ulam's Spiral, Numberphile video, 2013.
FORMULA
a(n)=If[n < 41, n^2 - n + 41, n^2 - 81*n + 1681].
MATHEMATICA
f[n_]=If[n<41, n^2-n+41, n^2-81*n+1681]; Table[f[n], {n, 0, 100}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Roger L. Bagula, Sep 27 2008
EXTENSIONS
Edited by N. J. A. Sloane, Sep 27 2008
STATUS
approved