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A106718 Smallest of five consecutive primes whose sum of digits is prime. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
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.
MATHEMATICA
Select[Partition[Prime[Range[2000]], 5, 1], AllTrue[Total[#]&/@ (IntegerDigits/@ #), PrimeQ]&][[All, 1]] (* Harvey P. Dale, Jul 16 2021 *)
CROSSREFS
Sequence in context: A199946 A142800 A115438 * A119779 A118579 A349272
KEYWORD
base,nonn
AUTHOR
Shyam Sunder Gupta, May 14 2005
STATUS
approved

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Last modified March 29 09:14 EDT 2024. Contains 371268 sequences. (Running on oeis4.)