

A106722


Smallest of seven consecutive primes the sum of the digits of each of which is prime.


1



3251, 3253, 4133, 4373, 4391, 14293, 14303, 14321, 27073, 27077, 34183, 67169, 102071, 102983, 106103, 106109, 110597, 200041, 200063, 200087, 210011, 210019, 210031, 231719, 243011, 250051, 302873, 314591, 388837, 402131, 431731, 549977
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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 seven consecutive primes i.e. 3251,3253,3257,3259,3271,3299 and 3301, 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 and 3+3+0+1=7.


MATHEMATICA

Select[Partition[Prime[Range[50000]], 7, 1], AllTrue[Total/@ (IntegerDigits /@ #), PrimeQ]&][[All, 1]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jan 05 2020 *)


CROSSREFS

Sequence in context: A187135 A185840 A251501 * A031555 A106723 A270799
Adjacent sequences: A106719 A106720 A106721 * A106723 A106724 A106725


KEYWORD

base,nonn


AUTHOR

Shyam Sunder Gupta, May 14 2005


EXTENSIONS

Definition clarified by Harvey P. Dale, Jan 05 2020


STATUS

approved



