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A056716 Numbers n such that 6*10^n-1 is prime. 4

%I #24 Mar 01 2020 09:45:21

%S 0,1,2,4,5,7,10,13,22,23,28,34,40,61,73,361,490,613,1624,2000,2994,

%T 4301,4332,18668,32544,34936,267598,270658,293134,319889,414508

%N Numbers n such that 6*10^n-1 is prime.

%C Also numbers n such that 5*10^n + 9*R_n is prime, where R_n = 11...1 is the repunit (A002275) of length n.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/5/59999.htm#prime">Prime numbers of the form 599...99</a>.

%H <a href="/index/Pri#Pri_rep">Index entries for primes involving repunits</a>

%t Do[ If[ PrimeQ[ 6*10^n - 1], Print[n]], {n, 0, 5000}]

%o (PARI) is(n)=ispseudoprime(6*10^n-1) \\ _Charles R Greathouse IV_, Feb 20 2017

%Y Cf. A056805 (6*10^n+1 is prime).

%K hard,nonn,more

%O 1,3

%A _Robert G. Wilson v_, Aug 11 2000

%E More terms from _Hugo Pfoertner_, Feb 12 2004

%E 3 more terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Dec 30 2007

%E a(27)-a(31) from Kamada data by _Robert Price_, Oct 19 2014

%E Outdated comment deleted by _Harvey P. Dale_, Mar 01 2020

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Last modified April 25 07:41 EDT 2024. Contains 371964 sequences. (Running on oeis4.)