login
Numbers n such that the string 75n is prime.
0

%I #15 Sep 08 2022 08:45:18

%S 1,7,17,23,29,37,41,47,49,59,61,73,77,83,89,91,109,133,149,161,167,

%T 169,181,193,209,211,217,223,227,239,253,269,277,289,307,323,329,337,

%U 347,353,367,377,389,391,401,403,407,431,437,479,503,511,521,527

%N Numbers n such that the string 75n is prime.

%e 1 is a term as 751 is prime; 2 isn't, as 752 is composite; 37 is, as 7537 is prime.

%o (Sage) is_A107643 = lambda n: is_prime(Integer('75'+str(n))) # _D. S. McNeil_, Dec 10 2010

%o (Magma) [ n: n in [1..700] | IsPrime(Seqint(Intseq(n) cat [5, 7])) ]; // _Vincenzo Librandi_, Feb 02 2011

%Y Cf. A107642.

%K nonn,base,less

%O 1,2

%A _Parthasarathy Nambi_, Jun 09 2005