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A057705
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Primorial primes: primes p such that p+1 is a primorial number (A002110).
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15
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5, 29, 2309, 30029, 304250263527209, 23768741896345550770650537601358309, 19361386640700823163471425054312320082662897612571563761906962414215012369856637179096947335243680669607531475629148240284399976569
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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REFERENCES
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R. Mestrovic, Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 BC--2012) and another new proof, Arxiv preprint arXiv:1202.3670, 2012 - From N. J. A. Sloane, Jun 13 2012
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LINKS
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Table of n, a(n) for n=1..7.
C. Caldwell's The Top Twenty, Primorial.
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FORMULA
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a(n) = A002110(A057704(n)) - 1
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MATHEMATICA
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lst={}; r=1; Do[p=Prime[n]; r=r*p; q=r-1; If[PrimeQ[q], (*Print[p]; *)AppendTo[lst, q]], {n, 1, 10^2}]; lst [From Vladimir Joseph Stephan Orlovsky, Aug 22 2008]
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PROG
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(Haskell)
a057705 n = a057705_list !! (n-1)
a057705_list = filter ((== 1) . a010051) a057588_list
-- Reinhard Zumkeller, Mar 27 2013
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CROSSREFS
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See A006794 and A057704 (the main entries for this sequence) for more terms. Cf. A014545, A002110.
Cf. A010051; subsequence of A057588.
Sequence in context: A046842 A175905 A057706 * A086720 A056869 A172041
Adjacent sequences: A057702 A057703 A057704 * A057706 A057707 A057708
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KEYWORD
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nonn,nice
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Oct 24 2000
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STATUS
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approved
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