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A119890
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Prime duet leaders: largest number of a prime duet.
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4
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11, 23, 41, 43, 61, 101, 113, 131, 151, 223, 241, 311, 313, 331, 401, 421, 601, 1013, 1031, 1033, 1051, 1103, 1123, 1213, 1231, 1301, 1303, 1321, 2003, 2111, 2113, 2131, 2203, 2221, 2311, 3011, 3121, 3301, 4001, 4003, 4021, 4111, 4201, 5011, 5101, 10103
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OFFSET
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1,1
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COMMENTS
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A prime duet is a pair of two different prime numbers such that the second number is a 1-digit number which is the sum of the digits of the first number.
The terms of the sequence must be at least 2 digits in length, so {5,5} is not a prime duet. - Harvey P. Dale, May 07 2021
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LINKS
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EXAMPLE
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113 is in the sequence because it is the largest number of the prime duet (113,5)
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MATHEMATICA
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Select[Prime[Range[5, 1300]], IntegerLength[Total[IntegerDigits[#]]]==1&&PrimeQ[Total[IntegerDigits[#]]]&] (* Harvey P. Dale, May 07 2021 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), May 27 2006
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EXTENSIONS
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STATUS
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approved
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