Interesting. How high was it?
Wait - I see it was 35k to 40k feet. Still. INteresting.
Miitary friends and family told same thing
Do not report or will end career
If questioned refuse to confirm or deny
Experience over missile silos at US base drove at least one to drink
Heavily
Also happening semi-frequently, especially now thru January 1 2019, could have had a botched ADS-B installation. I know because this happened to me. And, the big Iron that travels at 35k feet, they have to switch over just like us little guys. The installation of ADS-B (Out) is quite tricky, and there is even a mechanism for the pilots, taking their aircraft back after an install, to test it on their own (called "Public ADS-B Performance Report Request"). You enter the form online, submit, and within an hour, you get a detailed report back on the performance of the longest flight of the day you request it for. If you "fail", you take your report to the mechanic to get it right. So, when it "fails", you are likely flying without ATC receiving your transponder signals.
“...maybe it was a Russian Backfire bomber...”
Are you being serious or silly?
At any rate, it wasn’t squawking anyway, was it?
How often did you see “weird” stuff?