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A181667 Least integer m > 0 such that none of the first n primes divides any value of the polynomial x^2 + x + m. 2
1, 5, 11, 11, 17, 17, 41, 41, 41, 41, 41, 41, 19421, 19421, 333491, 601037, 601037, 5237651, 9063641, 12899891, 24073871, 24073871, 28537121, 67374467, 67374467, 67374467, 67374467, 146452961, 13236860171, 13236860171, 17959429571, 57391479317, 57391479317 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
All the elements of this sequence with n > 2 are congruent mod 30 to one of the polynomials x^2 + x + 11 or x^2 + x + 17.
The elements of the sequence have been taken from A060392, see below.
LINKS
M. J. Jacobson, Jr., Master's Thesis, University of Manitoba, 1995. (See Table 6.6, which lists values of 4a(n)-1.)
EXAMPLE
x^2 + x + 11 takes the values 11, 13, 17, 23, 31, 41, 53, 67, 83, ... never divisible by any of the primes 2, 3, or 5.
CROSSREFS
a(n) equals min_{k > n} A060392(k).
Sequence in context: A205673 A245098 A352443 * A060846 A352354 A113002
KEYWORD
nonn
AUTHOR
EXTENSIONS
a(29) corrected and more terms added by William P. Orrick, Mar 17 2017
STATUS
approved

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)