A295900 Numbers n such that n^3 contains the consecutive substring 2,3,5,7.

1331, 3108, 3176, 4093, 4643, 5846, 6178, 6797, 9175, 10731, 13076, 13245, 13309, 13310, 14093, 14526, 16291, 17852, 20095, 20791, 21835, 23635, 23766, 24093, 28452, 28672, 28673, 28674, 28675, 29211, 31080, 31760, 33907, 34093, 34986, 36449, 38538, 38599, 39526

Offset: 1

Author

K. D. Bajpai, Nov 29 2017

Keywords

• nonn
• base

Examples

			1331 is in the sequence because 1331^3 = 2357947691 contains substring of prime digits "2357".
3108 is in the sequence because 3108^3 = 30022235712 contains substring of prime digits "2357".
		

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A018834, A029942, A085823.

Programs

Mathematica

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

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

Python

A295900_list = [n for n in range(1,10**6) if '2357' in str(n**3)] # Chai Wah Wu, Feb 09 2018