[QUOTE]You tested only k=3329 from n=3330000?
For a Nash weight that low you tested only 516 nvalues to find such prime. Lucky hit. [/QUOTE]I had testing going on for 6 different k's, so I tested more like 30004000 candidates overall, still very lucky find. I was also surprised to find a prime with the k that had the lowest weight of these 6 k's. 
273*2^20248101 is prime! (609531 decimal digits) Time : 1198.071 sec.

233*2^24265121 (730456 digits)

99*2^30266601 (911118 digits)
99*2^30299591 (912111 digits) 
[QUOTE=VBCurtis;554150]99*2^30266601 (911118 digits)
99*2^30299591 (912111 digits)[/QUOTE] Wow! 
[QUOTE=VBCurtis;554150]99*2^30266601 (911118 digits)
99*2^30299591 (912111 digits)[/QUOTE] Nice double luck! Congratulations 
[FONT=Courier New]195*2^43739941 is prime! (1316706 digits)[/FONT]
[URL]https://primes.utm.edu/primes/page.php?id=131376[/URL] Nonessential fun facts: 1) k=195 is the highest Nash weight k in RSP k<300, with a weight of 4106, followed by k=45 at weight 3747. 2) The last prime for k=195 was for n=1983875, found in 2014 by Peter Benson 3) My first prime since Aug 2008 (152521 digits)  i took a ca. 11 year hiatus from prime searching 4) First prime since I restarted prime searching in summer/autumn 2019, was really waiting for this 5) My first megaprime 
[QUOTE=kuratkull;562148][FONT=Courier New]195*2^43739941 is prime! (1316706 digits)[/FONT]
[URL]https://primes.utm.edu/primes/page.php?id=131376[/URL] Nonessential fun facts: 1) k=195 is the highest Nash weight k in RSP k<300, with a weight of 4106, followed by k=45 at weight 3747. 2) The last prime for k=195 was for n=1983875, found in 2014 by Peter Benson 3) My first prime since Aug 2008 (152521 digits)  i took a ca. 11 year hiatus from prime searching 4) First prime since I restarted prime searching in summer/autumn 2019, was really waiting for this 5) My first megaprime[/QUOTE] So at the end effort was rewarded! Congratulations! 
From our 1st megabit drive:
111*2^30602381 (921226 digits) 65*2^30809521 (927461 digits) 57*2^30934401 (931220 digits) 
25*2^56589151 is prime! (1703505 decimal digits)

55*2^20483051 is prime! (627441 digits)

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