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A063681 Primes p such that 2p+7 is a power of three. 0

%I #8 May 10 2014 17:12:56

%S 37,265717,193710241,1270932914161,

%T 187855106306818130162790081799568953899918191769361,

%U 884821727139988111281341588371104523273965529248966451172919369920848760385637

%N Primes p such that 2p+7 is a power of three.

%C If (3^i-7)/2 is prime then x=3^i-7 is a solution of sigma(x)+7 = sigma(x+7). See A063680 and indices resulting in primes are in A063679.

%C The next term (a(7)) has 118 digits. - _Harvey P. Dale_, May 10 2014

%F 2*37+7 = 3^4, so 37 is in the sequence.

%t Select[(#-7)/2&/@(3^Range[2,250]),PrimeQ] (* _Harvey P. Dale_, May 10 2014 *)

%Y Cf. A063679, A063680.

%K nonn

%O 1,1

%A _Jud McCranie_, Jul 29 2001

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Last modified April 16 01:01 EDT 2024. Contains 371696 sequences. (Running on oeis4.)