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A020452 Primes that contain digits 1 and 4 only. 11

%I #33 Sep 08 2022 08:44:45

%S 11,41,4111,4441,11411,14411,41141,41411,44111,1114111,1144141,

%T 1144441,1411141,1411411,1441411,1444111,1444411,1444441,4141441,

%U 4414411,4441111,4441441,11111141,11141111,11141441,11441141,11441411,14111441,14141411

%N Primes that contain digits 1 and 4 only.

%H Alois P. Heinz, <a href="/A020452/b020452.txt">Table of n, a(n) for n = 1..20000</a> (first 1000 terms from Vincenzo Librandi)

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

%t Flatten[Table[Select[FromDigits/@Tuples[{1,4},n],PrimeQ],{n,8}]] (* _Vincenzo Librandi_, Jul 27 2012 *)

%o (Magma) [p: p in PrimesUpTo(14141411) | Set(Intseq(p)) subset [1,4]]; // _Bruno Berselli_, Jul 27 2012

%o (Python)

%o from sympy import primerange

%o def checkd(a, c):

%o b = set(int(i) for i in set(str(a)))

%o return b.issubset(c)

%o for n in primerange(2, 2000000):

%o if checkd(n, [1, 4]):

%o print(n)

%o # _Abhiram R Devesh_, May 08 2015

%Y Cf. A032822.

%K nonn,base

%O 1,1

%A _David W. Wilson_

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)