Result: Durham (276/9; Richardson 58; 0 points) lost to Lancashire Lightning (304/8; Vilas 108; Collingwood 3/43; 2 points) by 28 runs
Durham's defeat to Lancashire Lightning by 28 runs means they have been eliminated from the Royal London One-Day Cup.
Jon Lewis' men could have gone ahead of Nottinghamshire into third place, but the one point the Outlaws gained from the washout at Northampton ended Lancashire's hopes.
Dane Vilas' century hoisted the visitors up to 304/8 and it always looked a competitive score, with Durham falling short on 276/9.
Paul Collingwood's three wickets saw Lancashire stumble to 126/4 after a good start, but Vilas's onslaught helped them to gather 135 runs from the last 15 overs, compared with 76 off the previous 15.
The second 50 in his 83-ball century came off 26 balls and his fifth-wicket stand of 118 in 16 overs with Steven Croft proved crucial.
Excellent bowling from left-arm spinner George Harding, as well as Collingwood, put the brakes on Lancashire after they were put in and got off to a flier.
Paul Coughlin made the breakthrough on 59 after Karl Brown clubbed him for six before Haseeb Hameed and Liam Livingstone both fell to Collingwood.
Extra bounce surprised Hameed, who steered to a wide slip, and after settling in sensibly Livingstone went for a big hit and skied to deep mid-on.
Opener Alex Davies played strongly off the back foot in reaching 50 off 54 balls but then lobbed a slower ball from Collingwood to mid-wicket.
Croft departed for 41 after a proftable partnership with Vilas, bowled when trying to sweep Harding, but Ryan McLaren helped to maintain the momentum until he sliced James Weighell to deep cover in the 49th over.
Weighell's next ball, a slow full toss, bowled Vilas for 108 but the hat-trick delivery was down the leg side as Durham fought back well in the final overs, as they had at Trent Bridge.
In reply, the accuracy of Kyle Jarvis was rewarded when he knocked back Keaton Jennings' off stump then Stephen Cook edged James Anderson to slip.
Graham Clark contributed 32 to a stand of 57 in ten overs with Michael Richardson before picking up Danny Lamb to deep square leg, where Brown back-pedalled to hold a one-handed catch high to his right.
On 35, Richardson had to send for a runner and shortly afterwards Collingwood was slow to respond after playing the ball to short third man. He was run out for 20, and Richardson went for broke, taking 16 off an over from Anderson before inside-edging Stephen Parry into his stumps for 58.
There were brief flurries from all the middle order, with Stuart Poynter adding 43, but a rising run-rate got the better of him as he was bowled off the inside edge.
The last-wicket pair added 44 with both Rushworth & Harding taking boundaries through the leg side, but it was all in vein as Nottinghamshire Outlaws progressed at Durham's expense.