A075822 Smallest perfect power for each possible two-digit ending, ordered by their last two digits (leading zeros omitted).

100, 2401, 658503, 2304, 16807, 140608, 2209, 357911, 512, 4913, 16, 389017, 59319, 121, 103823, 324, 25, 27, 128, 529, 1331, 32, 456533, 36, 35937, 493039, 441, 243, 144, 177147, 2048, 49, 132651, 21952, 50653, 256, 804357, 6859, 361, 300763, 64, 12167, 32768, 169, 753571, 54872, 912673, 3375, 576, 148877, 205379, 81, 19683, 484, 2187, 74088, 289, 29791, 8192, 185193, 196, 2197, 970299

Offset

1,1

Comments

Perfect powers ordered with their last two digits (leading zeros omitted). The list may be not full and some other two last digits may appear with time.

No values are missing from this list, since values == 2 (mod 4) or == 5, 10, 15, or 20 (mod 25) are unobtainable. - Franklin T. Adams-Watters, Feb 14 2013

Links

Table of n, a(n) for n=1..63.

Example

a(1)=100 because 100 is the smallest perfect power ending with two zeros, 00;
a(2)=2401=49^2 because 2401 is the smallest perfect power ending with 01;
a(3)=658503=87^3 because 658503 is the smallest perfect power ending with 03.

Crossrefs

Sequence in context: A295589 A114777 A128988 * A250845 A200937 A112889

Adjacent sequences: A075819 A075820 A075821 * A075823 A075824 A075825

Keyword

fini,full,nonn,base

Author

Zak Seidov, Oct 14 2002

Extensions

Corrected and completed by Sean A. Irvine, Mar 10 2025

Status

approved