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A053710 Prime-balanced factorials: factorials k! that are the mean of their 2 closest neighboring primes. 5
6, 120, 3628800, 51090942171709440000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Values of k are in A053709.
LINKS
FORMULA
k! = (p+q)/2; p = k! + d, q = k! - d, where p and q are the closest primes to k!.
a(n) = A053709(n)!.
EXAMPLE
For k=21, k!=51090942171709440000, d=31, and the closest primes to 21! are q = 21! - 31 = 51090942171709439969, p = 21! + 31 = 51090942171709440031.
CROSSREFS
Sequence in context: A371206 A137149 A317888 * A336389 A126244 A336808
KEYWORD
nonn
AUTHOR
Labos Elemer, Feb 10 2000
EXTENSIONS
The next two terms are 171! and 190!. - Jud McCranie, Jul 04 2000
a(3) corrected by Sean A. Irvine, Jan 14 2022
STATUS
approved

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Last modified March 28 04:58 EDT 2024. Contains 371235 sequences. (Running on oeis4.)