A175429 - OEIS

%I #10 Mar 08 2024 01:13:47

%S 1,1,1,8,20,112,608,4436,34843,0,4785242

%N Number of primes that are permutations of first n primes.

%H Zak Seidov, <a href="http://zak08.livejournal.com/19284.html">Primes from first 6 primes</a>

%H Zak Seidov, <a href="http://zak08.livejournal.com/19602.html">Primes from first 7 primes</a>

%H Zak Seidov, <a href="http://zak08.livejournal.com/19962.html">Primes from first 8 primes</a>

%e a(1)=1: 2; a(2)=1: 23; a(3)=1, 523;

%e a(4)=8: {2357,2753,3257,3527,5237,5273,7253,7523};

%e a(5)=20: {112573, 115237,...,735211, 751123}, see A177275;

%e a(6)=112: {11132357,11132753,...,75231113,75311213}, see links;

%e a(7)=608: {1113257317,1113321757,...,7523131711,7523171311}, see links;

%e a(8)= 4436: {111317193257,111317193527,...,753191321117,753217131911}, see links;

%e a(9)= 34843: {11131719223357,11131719235237,...,75323217191113,75323219131117}

%e a(10)=0 because sum of digits of first 10 primes (2+3+5+7+(1+1)+(1+3)+(1+7)+(1+9)+(2+3)+(2+9))=57 is multiple of 3.

%Y Cf. A177275.

%K base,nonn

%O 1,4

%A _Zak Seidov_, May 10 2010