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A106723 Smallest of eight consecutive primes whose sum of digits is prime. 1
3251, 4373, 14293, 14303, 27073, 106103, 200041, 200063, 210011, 210019, 549977, 710573, 710599, 799817, 799837, 851113, 851117, 1045021, 1063319, 1101071, 1102001, 1104113, 1104119, 1133513, 1133519, 1245227, 1245281, 1436003 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

a(1)=3251 is a term because this is smallest of eight consecutive primes i.e. 3251,3253,3257,3259,3271,3299,3301 and 3307, whose sum of digits is prime i.e. 3+2+5+1=11, 3+2+5+3=13, 3+2+5+7=17, 3+2+5+9=19, 3+2+7+1=13, 3+2+9+9=23,3+3+0+1=7 and 3+3+0+7=13.

MATHEMATICA

Transpose[Select[Partition[Prime[Range[110000]], 8, 1], AllTrue[Total/@( IntegerDigits/@ #), PrimeQ]&]][[1]] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Dec 25 2015 *)

CROSSREFS

Sequence in context: A251501 A106722 A031555 * A270799 A031735 A144936

Adjacent sequences:  A106720 A106721 A106722 * A106724 A106725 A106726

KEYWORD

base,nonn

AUTHOR

Shyam Sunder Gupta, May 14 2005

STATUS

approved

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Last modified January 17 09:50 EST 2020. Contains 330949 sequences. (Running on oeis4.)