Post Lots and Lots of Top-5000 Primes Here

[matzetoni]

You tested only k=3329 from n=3330000?
For a Nash weight that low you tested only 516 n-values to find such prime. Lucky hit.

I had testing going on for 6 different k's, so I tested more like 3000-4000 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.

[carpetpool]

273*2^2024810-1 is prime! (609531 decimal digits) Time : 1198.071 sec.

[Thomas11]

233*2^2426512-1 (730456 digits)

[VBCurtis]

99*2^3026660-1 (911118 digits)
99*2^3029959-1 (912111 digits)

[pinhodecarlos]

Originally Posted by VBCurtis

99*2^3026660-1 (911118 digits)
99*2^3029959-1 (912111 digits)

Wow!

[pepi37]

Originally Posted by VBCurtis

99*2^3026660-1 (911118 digits)
99*2^3029959-1 (912111 digits)

Nice double luck!
Congratulations

[kuratkull]

195*2^4373994-1 is prime! (1316706 digits)

https://primes.utm.edu/primes/page.php?id=131376

Non-essential 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

[pepi37]

Originally Posted by kuratkull

195*2^4373994-1 is prime! (1316706 digits)

https://primes.utm.edu/primes/page.php?id=131376

Non-essential 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

So at the end effort was rewarded!
Congratulations!

[Thomas11]

From our 1st megabit drive:

111*2^3060238-1 (921226 digits)
65*2^3080952-1 (927461 digits)
57*2^3093440-1 (931220 digits)

[Cruelty]

25*2^5658915-1 is prime! (1703505 decimal digits)

[Trilo]

55*2^2048305-1 is prime! (627441 digits)