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A095304 Smallest prime of the form k^n-2. 6
2, 2, 727, 79, 241, 727, 823541, 5764799, 19681, 16679880978199, 31381059607, 13841287199, 42052983462257057, 6103515623, 4747561509941, 28644003124274380508351359, 98526125335693359373, 136753052840548005895349735207879, 22168378200531005859373 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
a(7)=7^7-2=823541 is prime whereas 3^7-2=2185 and 5^7-2=78123 are composite.
MATHEMATICA
Table[k = 2; While[p = k^n - 2; ! PrimeQ[p], k++]; p, {n, 20}] (* T. D. Noe, Apr 03 2012 *)
CROSSREFS
Cf. A095303 (smallest k such that k^n-2 is prime), A087576 (smallest k such that k^n+2 is prime), A095302 (corresponding primes).
Sequence in context: A371203 A013556 A093596 * A111819 A287764 A260753
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Jun 01 2004
EXTENSIONS
a(2) corrected by Zak Seidov, Apr 03 2012
STATUS
approved

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Last modified June 15 09:26 EDT 2024. Contains 373407 sequences. (Running on oeis4.)