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A271269 Numbers k such that 8*10^k - 49 is prime. 490

%I #20 Aug 21 2019 02:46:13

%S 1,2,3,8,24,49,57,74,104,131,144,162,182,246,302,352,557,581,589,704,

%T 939,1181,1937,2157,4463,6013,7266,8504,8691,16129,20108,40677,74234,

%U 112018

%N Numbers k such that 8*10^k - 49 is prime.

%C For k>1, numbers such that the digit 7 followed by k-2 occurrences of the digit 9 followed by the digits 51 is prime (see Example section).

%C a(35) > 2*10^5.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/prime/primedifficulty.txt">Search for 79w51</a>.

%e 3 is in this sequence because 8*10^3 - 49 = 7951 is prime.

%e Initial terms and primes associated:

%e a(1) = 1, 31;

%e a(2) = 2, 751;

%e a(3) = 3, 7951;

%e a(4) = 8, 799999951;

%e a(6) = 24, 7999999999999999999999951, etc.

%t Select[Range[0, 100000], PrimeQ[8*10^# - 49] &]

%o (PARI) is(n)=isprime(8*10^n - 49) \\ _Charles R Greathouse IV_, Feb 16 2017

%Y Cf. A056654, A268448, A269303, A270339, A270613, A270831, A270890, A270929.

%K nonn,more

%O 1,2

%A _Robert Price_, Apr 03 2016

%E a(34) from _Robert Price_, Aug 20 2019

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Last modified April 25 09:49 EDT 2024. Contains 371967 sequences. (Running on oeis4.)