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

1,1

Links

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

Example

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".

Mathematica

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

Prog

(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

Crossrefs

Cf. A018834, A029942, A085823.

Sequence in context: A038677 A202457 A252347 * A030100 A017283 A017391

Adjacent sequences: A295897 A295898 A295899 * A295901 A295902 A295903

Keyword

nonn,base

Author

K. D. Bajpai, Nov 29 2017

Status

approved