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A260831 Primes that contain only the digits (5, 7, 9). 4

%I #17 Sep 08 2022 08:46:13

%S 5,7,59,79,97,557,577,599,757,797,977,997,5557,5779,7559,7577,7757,

%T 7759,55579,55799,55997,57557,57559,57977,59557,59779,59797,59957,

%U 59999,75557,75577,75797,75979,75997,77557,77797,77977,77999,79559,79579,79757,79777

%N Primes that contain only the digits (5, 7, 9).

%C A020467, A020468 and A020471 are subsequences.

%C Subsequence of A030096.

%H Alois P. Heinz, <a href="/A260831/b260831.txt">Table of n, a(n) for n = 1..10000</a>

%H James Maynard and Brady Haran, <a href="https://www.youtube.com/watch?v=eeoBCS7IEqs">Primes without a 7</a>, Numberphile video (2019)

%t Select[Prime[Range[2 10^5]], Complement[IntegerDigits[#], {5, 7, 9}] == {} &]

%o (Magma) [p: p in PrimesUpTo(2*10^5) | Set(Intseq(p)) subset [5, 7, 9]];

%Y Cf. similar sequences listed in A260827.

%Y Cf. A000040, A020467, A020468, A020471, A030096.

%K nonn,easy,base

%O 1,1

%A _Vincenzo Librandi_, Aug 03 2015

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Last modified July 23 06:59 EDT 2024. Contains 374544 sequences. (Running on oeis4.)