A088112 - OEIS

A088112

Perfect powers whose digit reversal is prime.

16, 32, 125, 128, 196, 361, 784, 1024, 1369, 1444, 1600, 1681, 3844, 7225, 7921, 9025, 9409, 11236, 14161, 18496, 19321, 19600, 36100, 37249, 38416, 70756, 73441, 75076, 76729, 78400, 78961, 97969, 99856, 102400, 105625, 107584, 109561, 111556

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Conjectures: (1) Sequence is infinite. (2) For every n there are infinitely many members of the form k^n.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..471 (no further terms through 32 million)

MATHEMATICA

Select[Range[120000], GCD@@FactorInteger[#][[All, 2]]>1 && PrimeQ[ IntegerReverse[ #]]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, May 03 2018 *)

CROSSREFS

Intersection of A001597 and A095179.

Sequence in context: A007824 A235056 A115686 * A272697 A232510 A339356

Adjacent sequences: A088109 A088110 A088111 * A088113 A088114 A088115

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy, Sep 25 2003

EXTENSIONS

Corrected and extended by Ray Chandler, Oct 14 2003

Offset changed by Andrew Howroyd, Sep 22 2024

STATUS

approved