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A106718
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Smallest of five consecutive primes whose sum of digits is prime.
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1
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2, 311, 1091, 1291, 2063, 2069, 2551, 2557, 3163, 3251, 3253, 3257, 3259, 3659, 4133, 4139, 4153, 4373, 4391, 4397, 4409, 5413, 7079, 7103, 7411, 8597, 9833, 10079, 12071, 12073, 12301, 12433, 12437, 12983, 14293, 14303, 14321, 14323, 14327
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OFFSET
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1,1
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LINKS
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EXAMPLE
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a(2)=311 is a term because this is smallest of five consecutive primes i.e. 311,313,317,331 and 337, whose sum of digits is prime i.e. 3+1+1=5, 3+1+3=7, 3+1+7=11, 3+3+1=7 and 3+3+7=13.
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MATHEMATICA
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Select[Partition[Prime[Range[2000]], 5, 1], AllTrue[Total[#]&/@ (IntegerDigits/@ #), PrimeQ]&][[All, 1]] (* Harvey P. Dale, Jul 16 2021 *)
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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