A Woodall prime is a Woodall number
that is prime , where is a positive integer .
The first few Woodall primes are 7, 23, 383, 32212254719, 2833419889721787128217599,
... (OEIS A050918 ), corresponding to , 3, 6, 30, 75, 81, 115, 123, 249, 362, 384, 462, 512, 751,
822, 5312, 7755, 9531, 12379, ... (OEIS A002234 ).
The following table summarizes large known Woodall primes. As of Mar. 2018, all have been checked (PrimeGrid).
decimal digits date 1467763 441847 Jun. 2007 2013992 606279 Aug. 2007 2367906 712818 Aug. 2007 3752948 1129757 Dec. 2007 17016602 5122515 Mar. 2018
See also Integer Sequence Primes ,
Mersenne Prime ,
Woodall
Number
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References Caldwell, C. K. "The Top Twenty: Woodall Primes." https://t5k.org/top20/page.php?id=7#records . Keller,
W. "New Cullen Primes." Math. Comput. 64 , 1733-1741, 1995. Leyland,
P. http://research.microsoft.com/~pleyland/factorization/cullen_woodall/2-.txt . Numberphile.
"383 Is Cool." Feb. 15, 2017. https://www.youtube.com/watch?v=PQDvEJFdY1U . PrimeGrid.
"Subprojects: Woodall Prime Search." https://www.primegrid.com/server_status_subprojects.php . PrimeGrid.
"PrimeGrid Primes: Subproject: (WOO) Woodall Prime Search." https://www.primegrid.com/primes/primes.php?project=WOO . Rodenkirch,
M. and Ballinger, R. "Woodall Primes: Definition and Status." http://www.prothsearch.com/wPrimes.html . Sloane,
N. J. A. Sequences A002234 /M0820
and A050918 in "The On-Line Encyclopedia
of Integer Sequences." Referenced on Wolfram|Alpha Woodall Prime
Cite this as:
Weisstein, Eric W. "Woodall Prime." From
MathWorld --A Wolfram Resource. https://mathworld.wolfram.com/WoodallPrime.html
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