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A068583
Let p and q be distinct primes such that p^x - q^y = 2^h with h>=0, x>1, y>1. Sequence gives p^x arranged in increasing order.
0
9, 25, 27, 81, 125, 5041
OFFSET
1,1
COMMENTS
a(7) > 10^11. - Sean A. Irvine, Feb 24 2024
REFERENCES
R. K. Guy, Unsolved Problems in Number Theory, D9.
EXAMPLE
3^2-2^3=2^0, 5^2-3^2=2^4, 3^3-5^2=2, 3^4-7^2=2^5, 5^3-11^2=2^2, 71^2-17^3=2^7.
CROSSREFS
Sequence in context: A020308 A108989 A352492 * A074852 A322177 A346068
KEYWORD
hard,nonn
AUTHOR
Naohiro Nomoto, Mar 27 2002
STATUS
approved