A295900 - OEIS

%I #19 Mar 10 2024 00:23:51

%S 1331,3108,3176,4093,4643,5846,6178,6797,9175,10731,13076,13245,13309,

%T 13310,14093,14526,16291,17852,20095,20791,21835,23635,23766,24093,

%U 28452,28672,28673,28674,28675,29211,31080,31760,33907,34093,34986,36449,38538,38599,39526

%N Numbers n such that n^3 contains the consecutive substring 2,3,5,7.

%H Chai Wah Wu, <a href="/A295900/b295900.txt">Table of n, a(n) for n = 1..10000</a>

%e 1331 is in the sequence because 1331^3 = 2357947691 contains substring of prime digits "2357".

%e 3108 is in the sequence because 3108^3 = 30022235712 contains substring of prime digits "2357".

%t Select[Range[100000], MemberQ[Partition[IntegerDigits[#^3], 4, 1], {2, 3, 5, 7}] &]

%o (PARI) isok(n) = {c = n^3; ret = 0; while (c > 1, if ((c % 10000) == 2357, ret = 1; break); c = floor(c/10);); return (ret);} \\ _Michel Marcus_, Dec 15 2017

%o (Python) A295900_list = [n for n in range(1,10**6) if '2357' in str(n**3)] # _Chai Wah Wu_, Feb 09 2018

%Y Cf. A018834, A029942, A085823.

%K nonn,base

%O 1,1

%A _K. D. Bajpai_, Nov 29 2017