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Search: id:A038767
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| A038767 |
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Numbers n for which n-th primorial + square of (n+1)-th prime is also a prime. |
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+0 1
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| 1, 2, 3, 4, 6, 13, 19, 28, 41, 66, 85
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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r=Prime[n+1^2 is the smallest possible composite number, if added to the n-th primorial might give a prime
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FORMULA
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a(n)=A002110(n)+Prime[n+1]^2 is prime; n so that A054758(n)=1
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EXAMPLE
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a(5)=6, 6-th primorial is 30030, square of 7th prime is 289, sum gives 30319, a prime. No more were found below 200.
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CROSSREFS
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A002110, A054758.
Sequence in context: A096988 A066463 A073146 this_sequence A095991 A049911 A056712
Adjacent sequences: A038764 A038765 A038766 this_sequence A038768 A038769 A038770
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), May 04 2000
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