Problems & Puzzles: Puzzles

Puzzle 751. Named primes producing primes. Here you are asked to select ten letters such that you can use them to name in your local language as many primes as you can. Then you must assign to each one of the ten letters one of the integers from 0 to 9 in such a way that the numerical interpretation of each named prime produces a prime number too. Example: In Spanish, I have produced 7 primes with the following letter-selection and integer assignations to these letters: "DIECNUVSTR"-->"7513248906" TRES (3)=0619 SIETE(7)=95101 TRECE(13)=06131 DIECISIETE(17)=7513595101 DIECINUEVE(19)=7513524181 VEINTITRES(23)=8152050619 VEINTINUEVE(29)=81520524181 Q. Make your own letters selection and integer assignation to these letters to produce K primes in your local language associated to the K named primes, for K>7 as large as you can.

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Contributions came from Emmanuel Vantieghem, Hakan Summakoglu

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Emanuel wrote:

Here is what I found in Dutch :
 

The code : {E,N,G,T,W,D,R,I,Z,V} =  {7, 9, 3, 0, 8, 4, 6, 5, 2, 1}.
 

The named primes :

TWEE(2) = 0877

DRIE(3) = 4657

ZEVEN(7) = 27179

DERTIEN(13) = 4760579

ZEVENTIEN(17) = 271790579

NEGENTIEN(19) = 973790579

DRIEENTWINTIG(23) = 4657790859053

EENENDERTIG(31) = 77979476053

EENENVEERTIG(41) = 779791776053

 

There might be  some discussion about 23 : the correct spelling is  "drieëntwintig", which uses the symbol  ë (which is an indication for the pronunciation).

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Hakan wrote:

In Turkish, I produced 21 primes with the following letter selection and

integer assignations to these letters: “BİRKÜÇONYZ”-->”0738614295”

İKİ(2)=787

ÜÇ(3)=61

ONBİR(11)=42073

ONÜÇ(13)=4261

ÜÇYÜZONÜÇ(313)=619654261

BİNÜÇYÜZÜÇ(1303)=0726196561

İKİBİNÜÇ(2003)=78707261

İKİBİNYÜZONBİR(2111)=78707296542073

İKİBİNYÜZONÜÇ(2113)=7870729654261

İKİBİNİKİYÜZÜÇ(2203)=78707278796561

İKİBİNİKİYÜZONÜÇ(2213)=7870727879654261

ÜÇBİNONBİR(3011)=6107242073

ONBİRBİNİKİYÜZONÜÇ(11213)=420730727879654261

ONİKİBİNYÜZONÜÇ(12113)=427870729654261

YÜZONİKİBİNÜÇYÜZÜÇ(112303)=965427870726196561

İKİYÜZONBİNONBİR(210011)=7879654207242073

İKİYÜZONÜÇBİNİKİYÜZÜÇ(213203)=787965426107278796561

ÜÇYÜZBİNÜÇYÜZBİR(300301)=6196507261965073

ÜÇYÜZBİRBİNONÜÇ(301013)=619650730724261

ÜÇYÜZONİKİBİNYÜZBİR(312101)=6196542787072965073

ÜÇYÜZONİKİBİNÜÇYÜZONÜÇ(312313)=6196542787072619654261

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