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A147554 Primes p such that p^2 divides p.p.p where dot "." means concatenation. 2

%I #21 Feb 08 2021 16:29:20

%S 3,13,37,9901,333667,99990001,999999000001,9999999900000001,

%T 13168164561429877,130654897808007778425046117

%N Primes p such that p^2 divides p.p.p where dot "." means concatenation.

%C Primes p dividing 10^(2*d)+10^d+1 where d=ceiling(log(p)/log(10)) is the number of decimal digits in p. - _Max Alekseyev_

%C a(11) > 10^156. - _Max Alekseyev_, Feb 08 2021

%C There is no prime p such that p^2 divides p.p.

%C All primes of the forms 10^(2m) - 10^m + 1 or (1/3)*(10^(2m) + 10^m + 1) are in the sequence.

%C Primes in A243162. - _Hans Havermann_, May 31 2014

%Y Cf. A147553, A243162.

%K nonn,base,more

%O 1,1

%A _Farideh Firoozbakht_, Dec 26 2008

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Last modified April 19 17:39 EDT 2024. Contains 371797 sequences. (Running on oeis4.)