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Search: id:A066749
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| A066749 |
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List of primes p which are equal to a central binomial coefficient C(n,floor(n/2)) plus 1. |
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+0
2
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| 2, 3, 7, 11, 71, 127, 463, 3433, 2704157, 20058301, 17672631901, 35345263801, 2104098963721, 16123801841551, 6892620648693261354601, 51913710643776705684835561, 410795449442059149332177041
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The corresponding values of n are in A067366.
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EXAMPLE
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For n=5 the central binomial coefficient is C(5,2)=10. Since 10+1=11 is prime, it is in the sequence.
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MATHEMATICA
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For[ n=0, True, n++, If[ PrimeQ[ z=Binomial[ n, Floor[ n/2 ] ]+1 ], Print[ z ] ] ]
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PROGRAM
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(MuPAD) for n from 0 to 200 do p := binomial(n, floor(n/2))+1: if isprime(p) then print(p) end_if end_for
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CROSSREFS
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Cf. A001405, A067366.
Sequence in context: A106125 A073609 A053781 this_sequence A046480 A137767 A080140
Adjacent sequences: A066746 A066747 A066748 this_sequence A066750 A066751 A066752
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KEYWORD
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nonn
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AUTHOR
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Frank Buss (fb(AT)frank-buss.de), Jan 16 2002
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EXTENSIONS
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Repetitions removed by N. J. A. Sloane (njas(AT)research.att.com), Apr 09 2008
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