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.

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.

Links

Table of n, a(n) for n=1..6.

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

Adjacent sequences: A068580 A068581 A068582 * A068584 A068585 A068586

Keyword

hard,nonn

Author

Naohiro Nomoto, Mar 27 2002

Status

approved