Search: id:A099051
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%I A099051
%S A099051 7,23,159,895,22527,106495,2228223,9961471,192937983,15569256447,
%T A099051 66571993087,5085241278463,90159953477631,378231999954943,
%U A099051 6614661952700415,477381560501272575,34011184385901985791
%N A099051 p*2^p - 1 where p is prime.
%C A099051 This is the subset of Woodall numbers of prime index. The 9th largest 
               known Woodall prime is in this sequence: 12379*2^12379-1, where 12379 
               is prime, as found by Wilfrid Keller in 1984. Smaller primes are 
               when p = 2, 3, 751. These numbers can also be semiprime, as when 
               p = 159, 163, or 211 and hard to factor as when n = 349 (108 digits). 
               - Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 19 2004
%D A099051 Ribenboim, P. The New Book of Prime Number Records. New York: Springer-Verlag, 
               pp. 360-361, 1996
%H A099051 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               WoodallNumber.html">Woodall Numbers</a>.
%e A099051 If p=3, 3*2^3 - 1 = 23
%e A099051 If p=11, 11*2^11 - 1 = 22527
%t A099051 Table[ Prime[n]*2^Prime[n] - 1, {n, 17}] (from Robert G. Wilson v (rgwv(AT)rgwv.com), 
               Nov 16 2004)
%Y A099051 Similar to Woodall numbers (A003261). Cf. A002234.
%Y A099051 Sequence in context: A080082 A158954 A056205 this_sequence A034192 A050918 
               A159485
%Y A099051 Adjacent sequences: A099048 A099049 A099050 this_sequence A099052 A099053 
               A099054
%K A099051 nonn,easy
%O A099051 1,1
%A A099051 Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Nov 13 2004
%E A099051 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 15 2004

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