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A106818 Largest prime of the set of four consecutive primes whose sum of digits is a set of four distinct primes. 0
7, 11, 199, 607, 829, 1103, 1109, 1303, 1307, 1367, 2089, 2377, 2591, 3259, 3299, 3301, 4007, 4423, 5323, 5927, 8623, 10099, 10103, 10459, 11197, 12101, 12107, 12109, 12343, 12479, 13007, 13009, 14369, 17623, 21019, 24049, 24229, 24841 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..38.

EXAMPLE

a(3)=199 is a term because sum of digits of four consecutive primes i.e. (191, 193, 197, 199), whose sum of digits (i.e. 11, 13, 17, 19)is a set of four distinct primes.

MATHEMATICA

fdpQ[{a_, b_, c_, d_}]:=Module[{e, f, g, h}, {e, f, g, h}=Total[ IntegerDigits[#]]&/@ {a, b, c, d}; Length[Union[{e, f, g, h}]]==4&&And@@PrimeQ[{e, f, g, h}]]; Transpose[ Select[ Partition[ Prime[ Range[2800]], 4, 1], fdpQ]][[4]] (* Harvey P. Dale, Aug 23 2012 *)

CROSSREFS

Sequence in context: A128340 A106716 A292791 * A231329 A322950 A201120

Adjacent sequences:  A106815 A106816 A106817 * A106819 A106820 A106821

KEYWORD

base,nonn

AUTHOR

Shyam Sunder Gupta, May 18 2005

STATUS

approved

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Last modified August 22 11:34 EDT 2019. Contains 326176 sequences. (Running on oeis4.)