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

Offset: 1

Author

Amarnath Murthy, Sep 25 2003

Keywords

• base
• nonn

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)

Crossrefs

Intersection of A001597 and A095179.

Programs

Mathematica

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

Extensions

Corrected and extended by Ray Chandler, Oct 14 2003

Offset changed by Andrew Howroyd, Sep 22 2024