A factorial prime is a prime number of the form  .
 is prime
for 3, 4, 6, 7, 12, 14, 30, 32, 33, 38, 94, 166, 324, 379, 469, 546, 974, 1963, 3507,
3610, 6917, 21480, 34790, ... (Sloane's A002982). No others are known as of 2009, but candidates as
low as 26445 may be untested (P. Carmody, pers. comm., Nov. 9, 2005).
 is prime
for 1, 2, 3, 11, 27, 37, 41, 73, 77, 116, 154, 320, 340, 399, 427, 872, 1477, 6380,
26951, ... (Sloane's A002981; Wells 1986, p. 70). No others are known as of
2009.
A distributed project searching for factorial primes is being coordinated by P. Carmody at http://83.143.57.194:16384/Factorial/.
As of 2009,  has been tested for  and  for  .
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Borning, A. "Some Results for  and  ."
Math. Comput. 26, 567-570, 1972.
Buhler, J. P.; Crandall, R. E.; and Penk, M. A. "Primes of the Form  and  ."
Math. Comput. 38, 639-643, 1982.
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Caldwell, C. K. "The Top Twenty: Factorial." http://primes.utm.edu/top20/page.php?id=30.
Caldwell, C. K. "On the Primality of  and  ." Math. Comput. 64,
889-890, 1995.
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197-203, 1987.
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p. 7, 1994.
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Pickover, C. A. The Mathematics of Oz: Mental Gymnastics from Beyond the Edge.
New York: Cambridge University Press, pp. 272-273, 2002.
Sloane, N. J. A. Sequences A002981/M0908 and A002982/M2321 in "The On-Line Encyclopedia of Integer
Sequences."
Temper, M. "On the Primality of  and  ."
Math. Comput. 34, 303-304, 1980.
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Middlesex, England: Penguin Books, 1986.
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