Steve Smith wants to carve out a dynasty atop the Test rankings and Brendon McCullum senses Australia have the depth to do it.
Skipper Smith finished 53 not out as Australia completed a 2-0 series win over New Zealand on Wednesday, backing up their Wellington waltz with a seven-wicket victory in Christchurch.
The No.1 Test ranking is their reward, with a $US1 million ($A1.39 million) cash prize and the ceremonial championship mace thrown in for good measure.
Australia haven't topped the International Cricket Council's Test rankings since 2014.
That stint lasted just one month.
Smith, refusing to get carried away with two comfortable away wins, wants his young team to hold on to the No.1 mantle for dear life this time.
"It is a good start for us," Smith said.
"We want to win every series that we play.
"We were able to adapt to these conditions really well ... hopefully we can do that when we play that next Test tour."
Australia's next challenge is the Twenty20 World Cup; they won't put the whites on and resume Test cricket until visiting Sri Lanka in July.
The confidence in the Australian camp has been palpable this summer.
Their top five are all averaging over 49.
Joe Burns was the supposed weak link but the opener totalled 235 runs in the second Test to be named man of the match for the first time in his 10-Test career.
Australia's pace attack is decimated by injury but still regularly churning out 20 wickets with the help of offspinner Nathan Lyon.
Smith's undefeated streak as captain now stands at 11 Tests.
Englishman Ray Illingworth holds the record for most games as Test captain before a defeat - 19.
With home series against South Africa and Pakistan to follow the three-Test tour of Sri Lanka, Smith could conceivably match the mark.
Retiring New Zealand skipper McCullum, who played five of his final seven Tests against Australia, believes they will top the ICC table for a long time.
"Because they've got depth as we've seen in these two series. The bowling line-up in this series is quite different and they've all stepped up," McCullum said.
"That's the beauty of Australian cricket, they've got so much depth.
"If they can get everyone heading in the same direction and their game plans are simple, then they're going to be dangerous no matter what."
McCullum added in the post-match ceremony that Australia had "blown us off the park in both matches".
"You guys have proven why you're the No.1 team in the world," he said.
Australia have come on in leaps and bounds since their miserable Ashes campaign last year.
Smith paid tribute to Michael Clarke, Shane Watson, Mitchell Johnson, Ryan Harris, Brad Haddin and Chris Rogers for helping lift the side toward the No.1 ranking.
"A lot of credit has got to be given to the guys who have recently retired," he said.
"The ranking system goes for quite a while and those guys were quite a big part of our success.
"Having said that, the guys that have stepped up to the plate since those six big retirements have been outstanding.
"I'm really proud of the way the boys have been performing."
