Cruelty, a nice and important prime because k=281 was the only k<300 with no primes with more than 100k bits!

Next target: 200k bits, there are 4 Ks with no primes larger than 200k bits: k=109, 221, 233, and 283. All reserved by you !! The one with the minmax prime is k=221: n=104846.

1995*2^421527-1 (126896 digits)

3015015*2^414654-1 (124830 digits)

After a long drought...

3545685*2^378703-1 is prime (114008 digits)

31*2^666285-1 is prime (200574 digits)

First prime of 2008? (depending on time zones?)
666625245*2^550161-1 (165624 digits)

2177*2^503892-1 (151690 digits)
67*2^722805-1 (217588 digits)

541*2^408703-1 is prime.
-Curtis

120023475*2^381138-1 is prime (114743 digits)

3015015*2^430091-1 (129477 digits)

109*2^646403-1 (194589 digits)