Taking 11489^47-1 and 11503^47-1.

Now taking 57143^41-1, 57269^41-1, 57571^41-1 and 57947^41-1

Now taking 3754507^29-1 and 2507473*31-1

Taking:

256128979^23-1
322019881^23-1

[QUOTE=Brownfox;510641]Now taking 3754507^29-1 and 2507473*31-1[/QUOTE]

All done. That completes all the Most Wanted numbers with SNFS difficulty under 200 digits,

[QUOTE=RichD;513015]I have grabbed a subset from the MWRB file which meets the conditions: weight > 600 & SNFS difficulty is roughly between 210-250. That list is nearing completion.[/QUOTE]
I am going to reserve a few more from the [url=http://www.lirmm.fr/~ochem/opn/mwrb2100.txt]MWRB[/url] file. I have identified 15 more numbers which are weight > 400 and SNFS-219 to SNFS-250. This still leaves lesser SNFS jobs for others, though moderately difficult, should they choose to tackle them.

Where do we reserve composites for this?

I suppose this thread is as good as any. Any others have a thought?

That's what I've been doing. So far as I am aware only RichD and I are factoring these anyway.

(3137255643814040734368054229162336076406168433037142399975819130274705442627958436070196805558119^3-1)/(3137255643814040734368054229162336076406168433037142399975819130274705442627958436070196805558119-1)

(52379047267^23-1)/(52379047267-1)