OFFSET

1,1

COMMENTS

With a=b=1 and c=0, both a^2 + b^2 + c^2 and a^4 + b^4 + c^4 would yield 2 (a prime); similarly, with a=b=c=1, both sums would yield 3 (also a prime). Thus, without the "larger than the first one" constraint, both 2 and 3 would be terms of this sequence. - Jon E. Schoenfield, Jun 15 2021

EXAMPLE

101 = 1^2 + 6^2 + 8^2 and 5393 = 1^4 + 6^4 + 8^4 is prime as well.

31859 = 99^2 + 103^2 + 107^2 and 339690083 = 99^4 + 103^4 + 107^4 is prime as well.

CROSSREFS

KEYWORD

nonn

AUTHOR

Tomas Xordan, Mar 05 2007

STATUS

approved