No. And age doesn't matter anymore. Starting in May 1997…..For a primary home, if you owned and lived in your house for 2 out of the last 5 years on the date of sale when you sell you can exclude the gain up to $250,000 for single or 500,000 for married from tax. You can not take a loss on your tax return. The rule about rolling over the gain to the next house went out in May 1997.
You don't have to report it unless you get a 1099S from the closing. But it shouldn't be taxable.
for the $500,000 exclusion, the actual rules are that 1) either spouse must own the residence for 2 out of 5 years prior to sale and 2) both must use it as their principal residence for 2 out of 5 years prior to sale.
in your situation it probably wouldn't make any difference, since even if only you meet both tests, the $250,000 exclusion should eliminate any taxable gain.
i merely point this out because sometimes we're informed its married couples selling, but not that that one spouse fails the second test,